what are the discontinuities of the function f(x) =x<2-36/4x-24 ?

Answers

Answer 1

Well, 2-36/4x-24 is the same as (2-24)-(36/4)x which simplifies to -22-9x. This does not have a discontinuity anywhere. If you meant to divide 36 by 4x, then x=0 would be the discontinuity since you cannot divide by 0. If you meant to have 4x-24 all in the denominator, then x=6 is the discontinuity since that would make the bottom equal 0. So it seems you need some parenthesis here somewhere for your problem to make sense.

Related Questions

The city planning committee is discussing making a bike path extension in its city park. They have a $5050 budget for the proposed project. The cost to construct the path is $2.20 per foot. The path would be a straight line from the fountain to the large oak tree. In the right triangle formed, the height is 880 ft and the base is 2112 ft. How much will the path cost? Will this work with the city planning budget?

Answers

You can solve this using the Pythagorean Theorem

[tex] a^2 + b^2 = c^2 [/tex]
[tex] 880^2 + 2112^2 = c^2 [/tex]
[tex] 774400 + 4460544 = c^2 [/tex]
[tex] c^2 = 5234944[/tex]
[tex] \sqrt{c^2} = \sqrt{5234944}[/tex]
[tex] c = 2288 ft[/tex]

$2.20 x 2288 ft = $5033.60
The budget is for $5050 so this will work.

Final answer:

After using the Pythagorean theorem to calculate the length of the bike path as approximately 2287 feet, and multiplying by the cost of $2.20 per foot, the total comes to $5031.40. This total cost fits within the city planning budget of $5050.

Explanation:

The city planning committee needs to determine if their $5050 budget is sufficient for the bike path extension, with construction costs at $2.20 per foot. To calculate the cost of the bike path, we first must find the length of the path, which will be the hypotenuse in a right triangle formed by the height (880 ft) and the base (2112 ft). Applying the Pythagorean theorem (a² + b² = c²), where a is the height and b is the base, the length of the path (c) can be calculated as follows:

c = √(880² + 2112²) = √(774400 + 4456444) = √5230844 ≈ 2287 ft.

Now, we can determine the total cost by multiplying the length of the path by the cost per foot:

Total Cost = 2287 ft × $2.20/ft = $5031.40

Thus, the total cost for constructing the path would be $5031.40, which is within the city planning budget of $5050.

Solve: 3x-15/2=4x

................

Answers

3x-15=8x (Multiplied both sides by 2)
3x-8x=15 (Subtracted -8x from both sides / Added 15 to both sides)
-5x=15 (shortened equation)
x=-3

3*(-3)-15/2 = 4(-3)
-9-15/2 = -12
-24/2 = -12
-12 = -12

The required solution of the expression is x = -3.

Given that,
To determine the solution of the equation 3x-15/2=4x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Simplification of 3x-15/2=4x.
3x - 15 = 8x
5x = -15
x = -3

Thus, the required solution of the expression is x = -3.

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ2

Four letters to different insureds are prepared along with accompanying envelopes. the letters are put into the envelopes randomly. calculate the probability that at least one letter ends up in its accompanying envelope.

Answers

Final answer:

The probability that at least one of four randomly distributed letters ends up in its correct envelope is 62.5%. This calculation uses the complementary approach, subtracting the probability of no matches (9/24) from 1.

Explanation:

The question asks about the probability that at least one letter ends up in its accompanying envelope when four letters are randomly put into four envelopes.

To solve this, we employ the principle of complementary probability, which suggests that the probability of at least one match is 1 minus the probability of no letters matching their envelopes.

Calculating the probability of no matches directly can be complex due to numerous possible permutations, so using the complementary approach is more efficient.

We can calculate the total permutations of the four letters being distributed into four envelopes as 4!, which equals 24.

To find the probability of no letters matching their envelopes (a derangement of 4 items), we use a specific formula or recognition of known patterns, resulting in 9 derangements. Thus, the probability of no matches is 9/24.

The probability of at least one letter matching its corresponding envelope is then 1 - (9/24), which simplifies to 15/24 or 5/8. Therefore, the probability is 0.625 or 62.5%.

:) Answers? Thanks,❤

Answers

4) answer: 10?
6) answer: 12?
8) answer: 8?

4. the answer is 18
10+18+18-12=34

6. the answer is 12
10+10+19-12=27

8. the answer is 12
12-10+19+10=31

The graph below shows the price, y, in dollars, of different amounts of pounds of almonds, x: A graph titled Almond Prices shows Number of Pounds on x axis and Price in dollars on y axis. The scale on the x axis shows numbers from 0 to 12 at increments of 2, and the scale on the y axis shows numbers from 0 to 84 at increments of 14. A straight line joins the ordered pairs 0, 0 and 12, 84 Which equation best represents the relationship between x and y? y = 7x y = x + 7 y = 14x y = x + 14

Answers

(0,0)(12,84)
slope = (84 - 0) / (12 - 0) = 84/12 = 7

it goes thru the origin (0,0) therefore, the y int = 0

In y = mx + b form, the slope will be in the m position and the y int will be in the b position.

ur equaton is : y = 7x + 0, which can also be written as y = 7x <==

Answer:

my brain has exceeded the limit of cofusion

Step-by-step explanation:

A motorcycle with an initial value of $14,000 is decreasing in value at a rate of 3% each year. At this rate, approximately what will the value of the motorcycle be in 9 years?

A) 14,000
B) 10,000
C) 9,800
D) 550

Answers

Final answer:

The value of the motorcycle after 9 years, with a depreciation rate of 3% per year, will be approximately $9,800. This answer has been calculated using the formula for percent decrease applied to the initial value of the motorcycle.

Explanation:

This question revolves around the concept of percent decrease, a fundamental topic in mathematics. To estimate the value of the motorcycle after nine years, we need to apply the percent decrease continuously for these years.

The formula is: Final Value = Initial Value * (1 - rate of decrease)number of years

So in this case, the final value will be: $14,000 * (1 - 0.03)^9.

Calculating that gives us approximately $9,855, so the closest answer would be option C, $9,800.

Therefore after 9 years, the motorcycle will have depreciated to around $9,800 in value given a yearly depreciation rate of 3%.

Learn more about Percent Decrease

https://brainly.com/question/17827672

#SPJ12

For what values of x and y are the triangles congruent?

a. x=-4. y=-4

b. x=-4, y=4

c. x=4, y=7

d. x=7, y=4

Answers

The triangles, or any pair of polygon, are congruent if and only if the corresponding sides have the same lengths and the corresponding angles have the same measures.

From the given choices above, it can be seen that only the choice in A will give us this relationship. Thus, the answer is A.

the equation of line AB is y = 1/5x -1 write an equation of a line perpendicular to line AB in slope intercept form that contains point (1, -2)

Answers

y= -5x+3 is the equation that is perpendicular to line AB with the point (1,-2)

The slope of a perpendicular line is the opposite reciprocal of the slope of the line that is given which means that the slope of the perpendicular line in this case is -5. To get the equation of the perpendicular line that goes through the point (1, -2 ) plug in the x and y vales along with the slope you calculated into the point slope formula and solve to get the slope intercept form.

y-(-2) = -5(x-1)

y=-5x + 3

The manager at a restaurant keeps track of the number of calzones and slices sold each day and the total money received. On Sunday, a total of 59 calzones and slices were sold, and the money collected was $456. If calzones are sold for $9 and slices are sold for $6, how many calzones and slices were sold?

Answers

so we set it up like beofre

c=number of calzones
s=number of slices

total of 59 so
c+s=59

total money was 456
9c+6s=456
we can divide both sides by 3 to simplify
3c+2s=152

use subsitution

c+s=59
minus s both sides
c=59-s
subsitute 59-s for c in other equation

3c+2s=152
3(59-s)+2s=152
177-3s+2s=152
177-s=152
minus 177 both sides
-s=-25
s=25

sub back
c=59-s
c=59-25
c=34

34 calzones
25 slices

Which graph shows the solution set for -1.1x+ 6.4> -1.3

Answers

-1.1x+ 6.4> -1.3
-1.1x > -7.7
x <7

answer

x is less than 7

The number of baseball cards in Neil's collection is 80 percent of the number in Larry's collection. If Neil has 80 fewer baseball cards than Larry, how many do they have altogether

Answers

N=L(80/100)

N=0.8L

....

N=L-80

Since N=N

0.8L=L-80 subtract 0.8L from both sides

0=0.2L-80 add 80 to both sides

80=0.2L divide both sides by 0.2

400=L, and since N=L-80

N=320

N+L=400+320

So they have 720 baseball cards altogether.

Final answer:

The problem involves setting up an equation based on the given situation to solve for the number of baseball cards Neil and Larry have. By solving the equation, you find that Larry has 400 cards and Neil has 320 cards. So, they have 720 baseball cards together.

Explanation:

This is a problem of percentages and of algebra. First, you know that the number of cards Neil has is 80% of what Larry has. This can be set up as an algebraic equation, where N represents Neil’s cards and L represents Larry’s cards: N = 0.8L. You also know that Neil has 80 fewer cards than Larry, which provides a second equation: N = L - 80.

Because both expressions equal N, you can set them equal to each other to solve for L. This leads to 0.8L = L - 80. Solve this equation for L, and you get L = 400. Substituting this into the equation N = 0.8L, you find that N = 320. Therefore, Neil and Larry have 720 baseball cards altogether.

Learn more about Solving Equation here:

https://brainly.com/question/18322830

#SPJ2

A quadrilateral has two consecutive angles that measure 90° each. Which of the following quadrilaterals could have this property?

i. square

ii. rectangle

iii. parallelogram

iv. kite

v. rhombus

vi. trapezoid

A.

i, ii

B.

i, ii, iii

C.

i, ii, iii, iv

D.

i, ii, iii, v, vi

Answers

Final answer:

A square, rectangle, and certain cases of rhombuses and trapezoids can have two consecutive right angles, while typically a parallelogram and kite do not unless they are special cases of the rectangle or square respectively.

Explanation:

In the context of quadrilaterals with two consecutive right angles, it's important to recognize that certain quadrilaterals have this property by definition. A square and a rectangle both have four right angles, which means they certainly have at least two consecutive right angles.

A parallelogram typically does not have right angles, but a rectangle is a special type of parallelogram with right angles, so it fits this description. A kite generally does not have right angles unless specifically constructed to do so, which is not typical.

A rhombus can have right angles, making it a square, so it fits the criteria too. A trapezoid can also have a pair of consecutive right angles when it is a right trapezoid.

Therefore, the list of quadrilaterals that might have two consecutive right angles is not only the square and the rectangle but extends to include the rhombus and trapezoid as well.

Given these definitions, the correct answer to the question would be:

D. i, ii, iii, v, vi

Final answer:

The quadrilaterals that can have two consecutive angles measuring 90° each are squares, rectangles, and certain parallelograms (when they are squares or rectangles). Therefore, the correct answer to the question is B. This includes a square (i), a rectangle (ii), and some parallelograms (iii).

Explanation:

If a quadrilateral has two consecutive angles measuring 90° each, it could be any of the shapes that inherently contain right angles by definition. These shapes are a square, a rectangle, and certain types of parallelograms, specifically rectangles and squares. Both a square and a rectangle always have four right angles, which makes them valid answers. A rhombus or a general parallelogram may also have right angles, but only in specific cases, such as when a rhombus is also a square. Thus, kites and trapezoids do not necessarily fit this criterion as they do not always have consecutive right angles. Therefore, the correct answer is B, which includes a square, a rectangle, and some parallelograms.

Write two ratios that are equivalent to 3:11

Answers

6:22 and 9:33

Hopefully, this helps!

find the area of a regular hexagon if a side is 20cm

Answers

Area = 1039.23 square units

Round answer as needed. See picture for equation

Suppose that F(x) = x^2 and G(x) = 2/3x^2. Which statement best compares the graph of G(x) with the graph of F(x)?
A.) the graph of G(x) is the graph of F(x) compressed vertically.
B.) the graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis.
C.) the graph of G(x) is the graph of F(x) stretched vertically.
D.) the graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis

Answers

Multiplying a function by a number that when squared is less than one, compresses the graph vertically by a factor equal to the coefficient.

In this case (2/3)^2=4/9 and 4/9<1 so the graph of G(x) is the graph of F(x) compressed vertically.

Answer:

The statement which best compares the function F(x) and G(x) is that the graph of G(x) is the graph of F(x) stretched vertically.

Step-by-step explanation:

Since the difference between the two functions is in the coefficent which multiplies the square function, 1 and 2/3 respectively in F(x) and G(x). So, as the coefficient are positive and is minor for G(x) than for F(x), the values for G(x) will be smaller and thus the graph of G(x) would be below the graph of F(x). Therefore the graph for G(x) is it compressed vertically respect to F(x). The explanation here is ore understandable by looking at the illustration attached.

A rectangle has a length of ∛81 and a width of 3 2/3 inches. Find the area of the rectangle.

A.3 2/3 power inches squared
B.3 8/3 power inches squared
C.9 inches squared
D. 9 2/3 power inches squared

Answers

First express ∛81 as an exponential expression, using the properties of exponents and roots:

[tex] \sqrt[3]{81}= 81^{ \frac{1}{3} }= (3^{4}) ^{ \frac{1}{3} }= 3^{ \frac{4}{3} } [/tex]

The area of the rectangle = length*width

=[tex]3^{ \frac{4}{3} } * 3^{ \frac{2}{3} } =3^{(\frac{4}{3} +\frac{2}{3}) }=3^{ \frac{6}{3} }= 3^{2}=9 [/tex] (inches squared).

Answer: 9 inches squared

We have
length = ∛81
width = [tex] 3^{ \frac{2}{3} } [/tex]

Area = [tex] \sqrt[3]{81} [/tex] × [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] 81^{ \frac{1}{3} } [/tex] × [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] ( 3^{4}) ^{ \frac{1}{3} } [/tex] × [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] 3^{ \frac{4}{3} } [/tex] × [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] 3^{ \frac{6}{3} } [/tex]
Area = [tex] 3^{2} [/tex]
Area = 9 inches squared

Mountain officials want to know the length of a new ski lift from A to C , as shown in the figure below. They measure angle DAC to be 32° . They then move 960 feet to point B and measure angle DBC to be 18° . What is the length of the new ski lift from A to C ? Round your answer to the nearest tenth of a foot.

Answers

We assume that the hill is represented by points ACD and the ski lift is represented by points BCD. From the description above, points CDB would have an angle of 90 degrees. Then, we would have:

sin (32) = CD / 960
CD = 508.72

tan 32 = 508.72 / AD
AD = 814.13

Therefore, the distance would be 814.13 - 508.72 = 305.4 ft.

Knowing if trigonometry knowledge we can say that the distance will be 305.4 ft.

So knowing how sine and tangent work we can write the equals as:

[tex]sin (32) = CD / 960\\CD = 508.72[/tex]

[tex]tan (32) = 508.72 / AD\\AD = 814.13[/tex]

To calculate the distance, we will decrease the two values found, like this:

[tex]814.13 - 508.72 = 305.4 ft[/tex]

See more about trigonometry at brainly.com/question/22698523

A man travelled 3/8 of his journey by a rail 1/4 by a taxi 1/8 by and the remaining 2km on foot what is the length of his total journey?

Answers

The man travelled in different ways: by rail, by taxi, by ___ and by foot. I placed a blank there because there seems to be a missing word in the given problem above. For sample purposes, let's just assume that is travel by bus.

Since all of these travels are equal to 1 whole journey, you can express each travel as a fraction. When you add them up, the answer would be 1. So,

3/8 + 1/4 + 1/8 + x = 1

The variable x here denotes the fraction of his travel by foot. We are only given the exact distance travelled on foot which is 2 km. We have to find the fraction of the travel by foot to determine the length of the total distance travelled. Solving for x,

x = 1 - 3/8 - 1/4 - 1/8
x = 1/4

That means that the travel by foot comprises 1/4 of the whole journey. Thus,

Let total distance be D.

1.4*D = 2 km
D = 8 km

Therefore, the man travelled a total of 8 kilometers.

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.

The domain of the function is .
The range of the function is all real numbers.
The vertex of the function is .
The function has two x-intercepts.
The function is increasing over the interval (, ∞).

Answers

we have

[tex] f(x) = 2x^{2}- x -6 [/tex]

using a graph tool

see the attached figure

we know that

1) the domain of the function is all real numbers-------> interval (-∞,∞)

2) The range of the function is the interval [-6.125,∞)

3) The vertex of the function is the point (0.25,-6.125)

4) The function has two x-intercepts-----> ( -1.5,0) and (2,0)

5) The function is increasing over the interval (0.25,∞) and decreasing over the interval (-∞,0.25)

The quotient of 13 ÷ 24 is a decimal number. Which digit in the quotient is overlined?
1
4
5
6

Answers

13/24 = 0.5416666

since 6 keeps repeating that would be the number that has the line over it.

Find the sale price when the original price is $37.00 and the discount rate is 44%.

a.
$20.72
c.
$35.37
b.
$16.28
d.
$1.63

Please select the best answer from the choices provided

Answers

7(100-44)/100

37(0.56)

$20.72

37x.44 = 16.28
37-16.28=20.72 so answer A. Is ur answer

A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 What is the variance?

Answers

The variance is the total of the squared distances of the given data from the mean.

This can be calculated through the equation,

  σ² = summation of X² / N - μ²

where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.

summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
N = 5
  μ = (100 + 100 + 120 + 120 + 180) / 5
μ = 124

Substituting these values to the equation for variance,

  σ² = (81200/5) - 124² = 864

Thus, the variance is equal to 864.

The variance of the five bedroom house is 864.

The formula variance

σ²

[tex]=\frac{X^2}{N} -u^2[/tex]

To get the value of X²

= 100²+100²+120²+120²+180²

= 81200

The number is N = 5

u = mean

[tex]u = \frac{100+100+120+120+180}{5}[/tex]

u = 124

The values in the variance formula

[tex]\frac{81200}{5} -124^2[/tex]

16240-15376

= 864

The variance is 864

Answers

Randomly only means that Nobody says before that the candidates must have a certain characteristic(e.g. that they have to be Male) and that Nobody knows before who gets chosen.

Consider the following sets.

U = {all real number points on a number line}
A = {solutions to the inequality 3x + 4 ≥ 13}
B = {solutions to the inequality x + 3 ≤ 4}

For which values of x is A ⋃ B = Ø?

a 2 < x < 3
b 2 ≤ x ≤ 3
c x ≤ 2 and x ≥ 3
d x < 2 and x > 3

Answers

Answer:

A. 2 < x < 3

Step-by-step explanation:

The values of x which A ⋃ B = Ø is:

A. 2 < x < 3
What is a Set?

This refers to the grouping of data which can be graphically represented on a Venn diagram.

With this in mind, we have a set of data which makes use of a general set that contains:

All real number points on a number line{solutions to the inequality 3x + 4 ≥ 13}{solutions to the inequality x + 3 ≤ 4}

Therefore, the values of x to which A ⋃ B = Ø is:

2 < x < 3

Answers

The total number of ways of picking r objects out of n, is given by the formula:

[tex]C(n, r)= \frac{n!}{(n-r)!r!} [/tex]

where a! is "a factorial", defined as a!=1*2*3*...*(a-1)*a

We are picking 15 objects (questions) out of 20, so substitute r=15 and n=20 in the formula:

[tex]C(20, 15)= \frac{20!}{(20-15)!15!}= \frac{20!}{15!*5!}= \frac{20*19*18*17*16*15!}{15!*5!}= [/tex]

[tex]\frac{20*19*18*17*16}{5!}= \frac{20*19*18*17*16}{5*4*3*2}= \frac{19*18*17*16}{3*2}=19*3*17*16=15,504[/tex]

Answer: A

What is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane?

Answers

Answer:

The answer is rotational symmetry.

Step-by-step explanation:

The Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane. A shape is said to possess rotational symmetry when it still looks the same after we rotate it.

Mr. Carr has to buy each of his 24 students a flash drive. Each flash drive costs $12. How much will he spend?

Answers

Me Carr will spend $288

Answer:

Step-by-step explanation:

$228

Calculate the hypotenuse

Answers

Use Pythagorean's Theorem, [tex] a^{2}+ b^{2}= c^{2} [/tex]. Your a is 10 annd your b is 14. Or vice versa; it doesn't matter cuz either way you'll get the same answer.
[tex] 10^{2} + 14^{2} = c^{2} [/tex]
[tex]100+196= c^{2} [/tex]
[tex]296= c^{2} [/tex]
[tex] \sqrt{296} = \sqrt{ c^{2} } [/tex]
[tex]17.205=c[/tex]

Line m passes through the point (4,1) and has a slope of -1/3. what is the equation of line m in standard form

Answers

hello:
an equation is :
y - 1 = (-1/3)(x-4)
y = (-1/3)x +4/3 +1
y = (-1/3)x +7/3
3y = -x +7
is the equation of line m in standard form is : x+3y = 7

write the following inequality in slope intercept form. -6+2y less than or equal to 42

Answers

The slope intercept of a line is given by y=mx+c, where:
m=slope, c=y-intercept.
Thus the slope-intercept form of our equation will be:
-6+2y≤42
adding 6 in both sides we get:
-6+6+2y≤42+6
2y≤6
dividing both sides by 2 we get:
(2y)/2≤6/2
y≤3
the answer is y≤3

Answer: The required slpe-intercept form of the given inequality is

[tex]y\leq 0\times x+24.[/tex]

Step-by-step explanation: We are given to write the following inequality in the slope-intercept form :

[tex]-6+2y\leq 42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

the slope intercept form of a straight line with slope m and y-intercept c is given by

[tex]y=mx+c.[/tex]

Writing equation (i) in slope-intercept form, we have

[tex]-6+2y\leq 42\\\\\Rightarrow 2y\leq 42+6\\\\\Rightarrow 2y\leq 48\\\\\Rightarrow y\leq 24\\\\\Rightarrow y\leq 0\times x+24,[/tex]

where slope, m = 0 and y-intercept, c = 24.

Thus, the required slpe-intercept form of the given inequality is

[tex]y\leq 0\times x+24.[/tex]

Other Questions

The profit that a company earns each month depend on the amount of product sold, p, for $855 each and the amount of money spent on rent, utilities, and other expenses, which always totals to $6,780. The CEO earns 15% of the profit. How much does the Ceo earn if the company sells 250 products in a given month? If you lose control of your vehicle and collide with a fixed object, such as a tree, at 60 m.p.h., the force of impact is the same as driving your vehicle off a Two kids are liars, three can only say the truth. Jane: " Julia is only a liar, if John is telling the truth." Julia: "If Joey doesnt lie, then either Jane or John do." Joey: " Jack lies, as does Jane or Julia." John: "If Julia is telling the truth, then Jane or Joey do as well." Jack: "If you round up Jane, Joey and John, you will have at least one liar." The compulsive liars are_____ To what degree was the year 1492 a turning point in Us history Cynthia has just experienced a hassle, which could influence her cognitive functioning. she has most likely just experienced _____. Brave in his helmet, He advanced till he stood before the king. The author mostly uses the word advanced to create a tone of ? A. TerrorB. Speed C. Caution D. Nobility Find a sequence of rigid motion that maps one figure to another give Coordinate notation for transformation you use if you enjoy working with plans and animals the career cluster to follow isA.) agricultural ,food ,and natural resources B.) science and technology C.) education and training D.) distribution and logistics Use the functions f(x) = 4x 5 and g(x) = 3x + 9 to complete the function operations listed below.Part A: Find (f + g)(x). Show your work. (3 points)Part B: Find (f g)(x). Show your work. (3 points)Part C: Find f[g(x)]. Show your work. (4 points) (07.05 MC)An equation is shown below:4x + 2(x 3) = 4x + 2x 11Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)Part B: Name one property you used to solve this equation. (4 points You are a newly hired manager, and you attend your first meeting. you soon realize that the topic of discussion is the identification and documentation of the features and functions of a new information system. from your college bcis class, you recall that they would be in the ________ phase of the sdlc process. Stress surrounds us on a daily basis. Which of the following statements BEST describes ways to reduce or handle stress? A. Handling stress effectively involves ignoring stressors and remaining silent about stressful issues. B. Handling stress effectively involves recognizing what your stressors are, developing healthy behaviors to minimize stress, and adopting positive coping skills. C. Handling stress effectively involves recognizing what stressors are and visiting a psychologist weekly to discuss stressful issues. D. Handling stress effectivley involves doing whatever it takes to erase the stressful issue from your mind. As he dies, Mercutio speaks the line: Ask for me tomorrow, and you shall find me a grave man. This is an example of _____.A. a simileB. personificationC. an allusionD. a pun Sue and Kim earn $52 per week for delivering magazines. Sue worked for x weeks and earned an additional total bonus of $12. Kim worked for y weeks. Which expression shows the total money, in dollars, that Sue and Kim earned for delivering magazines? 64x + 52y 52x 12 + 52y 52x + 64y 52x + 12 + 52y What percentage of the 819 justices of the peace in texas on non-lawyers? Which adapter card in a pc would provide data fault tolerance? Which of the following could be said about the Sons of Liberty? They helped build an alliance between the American Patriots and the British Loyalists. They were the main reason Britain passed the Stamp Act and began taxing the American colonists. They assisted the soldiers in the Revolutionary War by providing much needed funds and weapons. They gave American colonists a voice and a chance to actively participate in the independence movement. (25 Points)Enter numbers to write 4.2310^3 in standard notation. What characteristic allowed the same ecomorphs to be produced on all four islands even though the original species were different on each island? According to research conducted by ridley (1999), how could individuals like adolf hitler or boston marathon bomber dzhokhar tsarnaev commit such acts according to the "nature versus nurture" debate? Steam Workshop Downloader