Write the equation of G(x)

Answer:

y = (-3/2)x - 4

Step-by-step explanation:

If y = (2/3)x + 9, the slope is 2/3.  Any line perpendicular to this line would have the slope -3/2, which is the negative reciprocal of 2/3.

If the perpendicular line passes thru (-6, 5), then the equation in slope-intercept form would be:

y = mx + b, or (here) 5 = (-3/2)(-6) + b.  From this we see that b = -4, and the desired equation is y = (-3/2)x - 4 (Answer Choice #3)

i think its x = 10, -2

Answer:

The answer to your question is -4

Step-by-step explanation:

:)

Answer: (2x + 5)(2x - 5)

Answer:

(2x - 5) and (2x + 5)

Step-by-step explanation:

There's a special formula for factoring the difference of two squares:

a^2 - b^2 = (a - b)(a + b).

Thus,

4x^2 - 25 is the same as (2x)^2 - (5)^2, and the two factors are:

(2x - 5) and (2x + 5).

ANSWER

B. (-1,0)

EXPLANATION

The x-intercepts are the points where the graph touches the x-axis.

We can observe from the graph that, the graph touches the x-axis at:

x=-2, x=-1, x=1 and x=2.

Therefore the x-intercepts are (-2,0),(-1,0),(1,0) and (2,0).

From the given options, the only point which is an x-intercept is (-1,0)

The second choice is correct.

The x-intercepts of the graph given in the question is (-1,0). Therefore, the second option is correct.

The x-intercepts are the points on the graph where it intersects the x-axis.

In the graph provided in the question, it is observed that the graph touches the x-axis at x = -2, x = -1, x = 1, and x =2.

Therefore, the intercepts of the x-axis are (-2,0),(-1,0),(1,0), and (2,0). So, from the given options (-1,0) is satisfied,

The second option is correct.

Learn more about intercepts here:

https://brainly.com/question/14180189

#SPJ6

Answer:

[tex]\large\boxed{LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)}\\\boxed{=x^3-3x^2-13x+15}[/tex]

Step-by-step explanation:

[tex]x^2-2x-15=x^2+3x-5x-15=x(x+3)-5(x+3)=(x+3)(x-5)\\\\\\x^2+2x-3=x^2+3x-1x-3=x(x+3)-1(x+3)=(x+3)(x-1)\\\\LCM(x^2-2x-15,\ x^2+2x-3)=(x+3)(x-5)(x-1)\\\\=(x^2-2x-15)(x-1)\qquad\text{use FOIL}\\\\=(x^2)(x)+(x^2)(-1)+(-2x)(x)+(-2x)(-1)+(-15)(x)+(-15)(-1)\\\\=x^3-x^2-2x^2+2x-15x+15\qquad\text{combine like terms}\\\\=x^3+(-x^2-2x^2)+(2x-15x)+15\\\\=x^3-3x^2-13x+15[/tex]

Answer:

5

Step-by-step explanation:

2/125 * 5 = 2/25

Answer:

https://edge-answers.org/

Gives most of the answers.

Step-by-step explanation:

Answer:

After 3 hours, both the airplanes are at a distance of 938.9 meters from each other.

Step-by-step explanation:

Speed of plane A = 275 mph

Speed of plane B = 375 mph

Angle between their flight path = Ф = 55°

Let their paths after 3 hours make a triangle.

Path of plane A is side 'a' = 275*3 = 825

Path of plane B is side 'b' = 375*3 = 1125

Distance between both planes after 3 hours = side 'c'

Here, we have two sides and one angle of the triangle.

We can find the third side using the law of cosines which is given as:

c² = a² + b² - 2ab*cosФ

c² = 825² + 1125² - 2(825)(1125)(cos(55°))

c² = 680625 + 1265625 - 1064745             where cos(55°) = 0.5736

c² = 881,505

c = √881,505

c = 938.9

c = 938.9 meters

Answer: [tex]x[/tex]≈[tex]0.732[/tex]

Step-by-step explanation:

You need to find the value of the variable "x".

To solve for "x" you need to apply the following property of logarithms:

[tex]log(m)^n=nlog(m)[/tex]

Apply logarithm on both sides of the equation:

[tex]90^x=27\\\\log(90)^x=log(27)[/tex]

Now, applying the property mentioned before, you can rewrite the equation in this form:

[tex]xlog(90)=log(27)[/tex]

Finally, you can apply the Division property of equality, which states that:  

 [tex]If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}[/tex]

Therefore, you need to divide both sides of the equation by [tex]log(90)[/tex]. Finally, you get:

[tex]\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}[/tex]

[tex]x[/tex]≈[tex]0.732[/tex]

Ok the formula for this is 2(lw +hw+hL)

2(30+35+42)=2(107)=214 square feet

[tex]214 ft^{2}[/tex]

Answer:

91

Step-by-step explanation:

To solve this use order of operations and the acronym PEMDAS:

Parentheses:

There are no parentheses

Exponents:

[tex]3^4[/tex] is equal to 3 x 3 x 3 x 3.

3 x 3 is 9, so we can simplify this to 9 x 9.

9 x 9 is 81.

Now we have 81 + 2 x 5

Multiplication or Division:

Multiply 2 x 5.

2 x 5 = 10.

Now we have 81 + 10

Addition or Subtraction:

Add 81 + 10

81 + 10

= 91

Perimeter is the outside dimensions.

There are two sides 5z and two sides 4z +3.

5z +5z +4z+3 + 4z +3 = 186

Combine like terms:

18z + 6 = 186

Subtract 6 from both sides:

18z = 180

Divide both sides by 18:

z = 180 / 18

z = 10

Answer: A. 1 inch high and 5 inches wide.

Step-by-step explanation:

If you divide both sides by 5, you get 1 and 5, which makes it an equal representation,

ANSWER

P(x)=2(f+g)(x)

EXPLANATION

The perimeter of a rectangle is calculated using the formula:

P=2(l+w)

From the table

The length is f(x)=x+3

The width is g(x)=x+2

This implies that the perimeter is

P(x)=2(f(x)+g(x))

This is the same as

P(x)=2(f+g)(x)

Answer:

The correct answer option is A. y = 5x + 29.

Step-by-step explanation:

We are given the following equation of a line and we are to identify the equation of a line parallel to this line which passes through (-6, -1), in slope intercept form:

[tex]y = 5x+2[/tex]

Parallel lines have same slope, so the slope of this line will be 5.

Finding the y-intercept using the standard equation of line.

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

[tex]-1=5(-6)+c[/tex]

[tex]c=29[/tex]

Therefore, our equation will be:

[tex]y=5x+29[/tex]

The answer is:

The equation of the line that it's parallalel to the given line and passes through the point (-6,-1) will be:

A.

[tex]y=5x+29[/tex]

To find an equation in slope-intercept form for the linea paralallel to the given line, we must guarantee that the new line will have the same slope of the given line.

We are given the line:

[tex]y=5x+2[/tex]

Where its slope is equal to 5

[tex]m=5[/tex]

and the point (-6,-1)

The slopte-intercept form of a line, is given by the following equation:

[tex]y=mx+b[/tex]

Then, we know that the line that we are looking for, will have a slope equal to 5, so:

[tex]y=5x+b[/tex]

Now, substituting the given point in order to find "b", we have:

[tex]y=5x+b[/tex]

[tex]-1=5*(-6)+b[/tex]

[tex]-1=-30+b[/tex]

[tex]b=-1+30=29[/tex]

Hence, we have that the equation of the line that it's parallalel to the given line and passes through the point (-6,-1) will be:

[tex]y=5x+29[/tex]

Have a nice day!

Answer:

x = 39.1

Step-by-step explanation:

Points to remember

Mean of a data set is given by

Mean = (sum of data set)/Total number of data

To find the value of x

It is given a data set

31.7, 42.8, 26.4, x

Mean = 35

Sum of data set = 31.7 + 42.8 + 26.4 + x = 100.9 + x

(100.9 + x)/4 = 35

100.9 + x = 35 * 4 = 140

x = 140 - 100.9 = 39.1

Therefore x = 39.1

Answer:

x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

To eliminate the fraction multiply all terms on both sides by 3

(x - 3) - 3x + 9 = 6(x - 1) ← distribute parenthesis on both sides

x - 3 - 3x + 9 = 6x - 6

- 2x + 6 = 6x - 6 ( subtract 6x from both sides )

- 8x + 6 = - 6 ( subtract 6 from both sides )

- 8x = - 12 ( divide both sides by - 8 )

x = [tex]\frac{-12}{-8}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5

Answer:

A) cotx = cosx/sinx    

C) tanx = 1/cotx

Step-by-step explanation:

A)

cosx/sinx = 1/(sinx/cosx) = 1/tanx = cotx

Therefore, cotx = cosx/sinx  

C)

Similarly;

1/tanx = cotx

Therefore,

1 = tanxcotx

1/cotx = tanx

and

tanx = 1/cotx

B) cscx=1/cosx is not true since;

1/cosx = secx

and

cscx = 1/sinx

Davis spent a total of $755 on buying and refurbishing the cycle, which he sold for $900. He made a gain of $145 on the sale.

To calculate Davis's gain or loss from buying and selling the second-hand cycle, we need to determine the total cost he incurred and compare that to the sale price. First, we add the purchase price of the cycle to the cost of repairs and repainting:

The total cost Davis incurred is $500 + $80 + $175, which equals $755.

Next, we must compare this to the sale price, which is $900. To find the gain, we subtract the total cost from the sale price:

$900 - $755 = $145

Therefore, Davis made a gain of $145 from this transaction.

Davis gained $145 by selling the cycle for $900 after incurring a total expense of $755 on its purchase, repairs, and repainting.

To calculate whether Davis made a gain or a loss from buying and selling the cycle, we need to consider the total cost of the cycle (including repairs and repainting) and the selling price. First, we add up the initial cost of the cycle ($500), the cost of repairs ($80), and the cost of repainting ($175). This will give us the total cost. Then, we subtract this total cost from the selling price ($900).

Total cost = Cost of cycle + Repairs + Repainting = $500 + $80 + $175 = $755

Profit or Loss = Selling price - Total cost = $900 - $755

Profit or Loss = $900 - $755 = $145

Davis gained $145 from this transaction because the selling price was higher than the total cost.

Answer:

20

Step-by-step explanation:

5! = 5*4*3*2*1

3! = 3*2*1

5!/3! = 5*4*3*2*1

           ----------------

           3*2*1

Canceling common factors

      = 5*4

       = 20

For this case we have that by definition, the factorial of a number is the product of the "n" consvutive factors from n to 1. The factors are in descending order, that is:

[tex]n! = n (n-1) (n-2) ... 3 * 2 * 1[/tex]

Then, we have the following expression:

[tex]\frac {5!} {3!}[/tex]

Applying the definition we have:

[tex]\frac {5!} {3!} = \frac {5 * 4 * 3 * 2 * 1} {3 * 2 * 1} = \frac {120} {6} = 20[/tex]

ANswer:

20

Answer: If you take the $8 service fee away from 38 you get 30. Then do 30/.12 and you get 250. To check it just do 250 x .12 and you'll get 30.

The answer is 250 minutes

Step-by-step explanation:

To find the number of minutes the customer used the phone, solve the equation c = 0.12m + 8 where c is the total cost for one month and m is the number of minutes used. Given that the customer's bill for the month is $38.00, substitute this value and solve for m. The customer used the phone for 250 minutes.

To find the number of minutes the customer used the phone, we can solve the equation

c = 0.12m + 8

where c is the total cost for one month and m is the number of minutes used.

Given that the customer's bill for the month is $38.00, we can substitute this value for c in the equation:

$38.00 = 0.12m + 8

Next, we can subtract 8 from both sides of the equation and then divide by 0.12 to isolate the variable m:

$38.00 - 8 = 0.12m

$30.00 = 0.12m

m = $30.00 / 0.12

m = 250 minutes

So, the customer used the phone for 250 minutes.

Answer:

8

Step-by-step explanation:

took the test

The sum of the measure of the angles in a triangle are 180 degrees.

In this formula solve for x

32 + 70 + x = 180

102 + x = 180

(102 - 102) + x = 180 - 102

x = 78

The last angle is 78 degrees

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The correct answer option is B. 7/12.

Step-by-step explanation:

We are given that a baseball player gets to base 7 times and strikes out 5 times during a tournament.

We are to find the experimental probability of the player getting on base.

Assuming that there are only two outcomes,

number of times player gets on base = 7

number of times player strikes out = 5

total number of both outcomes = 12

Experimental probability of getting on base = 7/12

The answer above is right

We have

[tex] a_n = 3n - 2[/tex]

We're asked for [tex] a_{90}[/tex]

[tex]a_{90} = 3(90) - 2 = 268[/tex]

Answer: C 268

Answer:

a) (-2,-8)

b) not sure :(

c) (0,-4)

Step-by-step explanation:

To find the vertex rewrite in vertex form and use this form to find the vertex (h,k).  To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

-0.125

Step-by-step explanation:

The points on the graph referenced by the problem statement are ...

(x, y) = (-1, -0.25)

(x, y) = (1, -0.50)

The average rate of change between the two points is ...

(∆y)/(∆x) = (-0.50 -(-0.25))/(1 -(-1)) = -0.25/2 = -0.125

The average rate of change of the function shown on the interval [-1, 1] is -0.125.

Answer:

-0.125

Step-by-step explanation:

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the table represents the total price including parking, p(t), for family fair packages with various numbers of included tickets, t.

t     :  0    10      20     30     40     50

P(t) : 15   27.5   40    52.5   65   77.7

Choose any points from the table. (0,15) and (10,27.5).

The equation of function is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-15=\frac{27.5-15}{10-0}(x-0)[/tex]

[tex]y-15=\frac{12.5}{10}(x)[/tex]

[tex]y-15=1.25x[/tex]

Add 15 on both the sides.

[tex]y=1.25x+15[/tex]

[tex]P(t)=1.25t+15[/tex]

The family has a budget of $90.

[tex]P(t)\leq 90[/tex]

[tex]1.25t+15\leq 90[/tex]

Subtract 15 from both the sides.

[tex]1.25t\leq 75[/tex]

Divide both sides by 1.25.

[tex]t\leq 60[/tex]

Domain is the set of inputs or the values of t.

[tex]Domain=\{t|0\leq t\leq 60,t\in W\}[/tex]

Range is the set of outputs or the values of function p(t).

[tex]Range=\{P(t)|15\leq P(t)\leq 90,P(t)\in R\}[/tex]

Therefore the correct option is D.

Final answer:

The correct restricted domain is all whole numbers from 0 to 50 inclusive, and the restricted range is all real numbers from 15 to 77.5 inclusive, given the family's budget constraint of $90. Therefore, the correct option is B.

Explanation:

The problem presented involves determining the restricted domain and range of a function p(t) that reflects the total price, including parking, for family fair packages with a varying number of included tickets (t). Considering the family's budget of $90, we must identify the correct domain and range within this context. The domain here is the number of tickets, which can only take on certain specified values, and the range is the pricing associated with those ticket amounts. The possible ticket numbers (t) are 0, 10, 20, 30, 40, 50, and the corresponding prices (p(t)) are 15, 27.5, 40, 52.5, 65, 77.5.

Considering the given budget constraint, the domain and range must also not exceed $90. Thus, we exclude any ticket numbers or prices above this threshold when determining the domain and range. The correct answer to the question is B: The domain is restricted to all whole numbers from 0 to 50 inclusive. The range is all real numbers from 15 to 77.5 inclusive since these are the observed outputs from the function p(t) within the family's budget.

I only know number 9

9:0.70

8. 960 / 40 = 24

9. 7/10 = 0.7

10.   36.90

         7.35

Once added its sum is 44.25.

Answer:

1. 48 square feet

2. 308 square feet

Step-by-step explanation:

1.

The entry terrace is shaped as a trapezoid and the area of a trapezoid is given as:

Area of Trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Where

b_1 and b_2 are the 2 parallel bases

and h is the perpendicular height

From the diagram, we see that the 2 bases are 16 and 8 and height is 4.

Plugging into the formula, we get:

Area of Entry Terrace = [tex]\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(16+8)*4=\frac{1}{2}(24)(4)=48[/tex]

2.

The total area comprises of the area of entry terrace + playroom + back porch.

The area of the back porch is 6 * 6 = 36 (it is shaped like a square and square has area of side * side)

The area of the playroom is 14 * 16 = 224 (it is a rectangle and rectangle has area of base * height)

Total area of treehouse = 48 + 36 + 224 = 308 square feet

Answer:

The entry terrace has an area of

48

square feet. The total area of the tree house including the entrance, porch, and side deck is

350

square feet.

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest : )

Step-by-step explanation:

work work work :)

Love you

Answer:

This is the answer

Step-by-step explanation: