solve the inequality algebraically. express your answer using interval or set notation. graph the solution set. -5 less than or equal to 4 - 3x less than or equal to 2

Answers

Answer 1

Step-by-step explanation:

This inequality sign means:

Less than/Equal toNo more thanAt mostMaximum of

-5 ≤ 4

And then:

-3x ≤ 2

OR:

-5 ≤ 4 -3x ≤ 2

Hi!!! Sorry, I didn't know if they were suppose to be together or separate, so I just did it both ways!!! :) Really sorry if I am wrong...


Related Questions

What is the answer to -282=-6(5+7x)

Answers

Answer:

x = 6

Step-by-step explanation:

We have to isolate x.


-282 = -6(5+7x)

Distribute.

-282 = -30 - 42x

Add 30 to both sides.

-252 = -42x

Divide both sides by -42.

6 = x

let f(x) = x^2 and g(x) = x − 3. evaluate (g ∘ f)(-2)

Answers

Answer:

(g ∘ f)(-2) = 1

Step-by-step explanation:

f(x)=x^2

g(x)=x-3

(g o f)(-2)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(x^2)

(g o f)(x)=(x^2)-3

(g o f)(x)=x^2-3

x=-2→(g o f)(-2)=(-2)^2-3

(g o f)(-2)=(-2)(-2)-3

(g o f)(-2)=4-3

(g o f)(-2)=1

Remy drinks 214 cups of water every 145 hours.

How many cups of water does he drink in 1 hour?

Enter your answer as a mixed number. For example, if your answer is 4212, enter 42 1/2

Answers

Answer:

1  69/145 cups

Step-by-step explanation:

We can use ratio's to solve this problem.  We will put water over time

214 cups           x cups

--------------- = --------------

145 hours        1 hours


Using cross products

214 *1 =145 x

Divide both sides by 125

214/145 = 145x/145

214/145 = x

145 goes into 215 1 time with 69 left over

1 69/145


Your answer is 1 69/145

First, set up your problem.
214 cups=145 hours
? cups = 1 hour

Second, notice how to get to 1 hr from 145 hours, you divide by 145, so in this case, you need to divide 214 by 145.
214/ 145= 1 69/145

*145 (145) fits into 214 perfectly once (1) with a remainder of 69 (69) left over.

If Petrol cost 1.20 per gallon how much would 5 3/4 cost?

Answers

Answer:


Step-by-step explanation:

1.20 x 5.75

=$6.90


Final answer:

The cost of petrol is given per gallon. Therefore, to find the cost of 5 3/4 gallons of petrol, multiply the cost per gallon which is 1.20 by the number of gallons, 5 3/4, that gives 6.90. Hence, 5 3/4 gallons of petrol would cost 6.90.

Explanation:

To find out the cost of 5 3/4 gallons of petrol, we first need to understand that the cost is listed per gallon. This means that for every gallon, you pay 1.20. So, to calculate the cost of 5 3/4 gallons, we just need to multiply the cost per gallon by the number of gallons.

So, the cost of 5 3/4 gallons would be: 1.20 (cost per gallon) x 5 3/4 (number of gallons) = 6.90.

Therefore, 5 3/4 gallons of petrol would cost 6.90.

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What is the midpoint between z1 = -8 + 3i and z2 = 4 + 7i?

Answers

Answer:

Therefore, Mid point : -2+5i.

Step-by-step explanation:

Given  :  Z1 = -8 + 3i and Z2 = 4 + 7i.

To find : What is the midpoint.

Solution : We have given  Z1 = -8 + 3i and Z2 = 4 + 7i.

Mid point :  [tex]\frac{z_{1}+z_{2}}{2}[/tex].

On plugging the values.

Mid point :  [tex]\frac{-8+3i + 4 +7i}{2}[/tex].

Combine like terms.

Mid point :  [tex]\frac{-8+4+3i +7i}{2}[/tex].

Mid point :  [tex]\frac{-4+10i}{2}[/tex].

Mid point : -2+5i.

Therefore, Mid point : -2+5i.

please help me in solving this

Answers

Answer:

a = 8, b= - 48, c = - 16

Step-by-step explanation:

multiply through by 8x² to eliminate fractions

[tex]x^{5}[/tex] - 16 = 48x² - 8x³ ( subtract 48x² - 8x³ from both sides )

[tex]x^{5}[/tex] + 8x³ - 48x² - 16 = 0

compare the coefficients of like terms to

[tex]x^{5}[/tex] + ax³ + bx² + c = 0

⇒ a = 8, b = - 48, c = - 16



Assume that a set of test scores is normally distributed with a mean of 70 and a standard deviation of 10. In what percentile is a score of 65?

Answers

Answer:

30.85%

Step-by-step explanation:

Assume that a set of test scores is normally distributed with a mean of 70 and a standard deviation of 10

mean = 70 and SD= 10

To find percentile we use z-score value

z value can be find using formula

[tex]z= \frac{x-mean}{SD}[/tex]

[tex]z= \frac{65-70}{10}[/tex]

z=-0.5

Now we use z- score table to find the value when z=-0.5

P(x=65) = 0.3085

To find percentile we multiply by 100

0.3085 * 100 = 30.85%

F Gucci sells 47777,000 a month and if Chanel sells 4865,000 how much is together

Answers

47,777,000+
4,865,000
=52,642,000

Answer: 52,642,000

47777,000+4865,000

Solve using elimination
5x+3y=24
-2x-7y=-56

Answers

Answer:

Solution point (0,8)

Step-by-step explanation:

Multiply the top equation by 2

2*(5x + 3y = 24)                  Remove the brackets10x + 6y = 48                      You could simplify this but don't.And multiply the bottom equation by 55*(-2x - 7y = -56)-10x - 35y = -280

Now add the two equations together.

10x + 6y = 48                -10x -35y = - 280          The xs cancel out-29y = - 232                  Divide by - 29y = -232/-29                  Do the division y = 8

=================

Solve for x

5x + 3y = 24           Substitute for y5x + 3*8 = 24         Combine on the left5x + 24 = 24          Subtract 24 from both sides  5x = 0                     Divide by 5x = 0

==================

This one is just a bit messier. I made a graph of it just to show that the answer is correct.

Karla can buy guppies for $0.90 each at the corner pet store. If she has $13.50, how many guppies can she buy? 

Answers

All we have to do here is divide $13.50 by $0.90 to figure out how many guppies she can buy

$13.50 ÷ $0.90 = 15

Therefore, Karla can buy 15 guppies with $13.50

Hope this helps you

Brainliest would be appreciated

- AaronWiseIsBae

Karla can buy around 15 guppies if tax is not included. 13.50 divided by 0.90 is 15.

Simplify the expression.

x^3/2/x^1/2

Answers

[tex]Use\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}}=x^{\frac{3}{2}-\frac{1}{2}}=x^{\frac{3-1}{2}}=x^{\frac{2}{2}}=x^1=x\\\\Answer:\ \boxed{x}[/tex]

is there a proportional relationship between the area of an enlarged rectangle and the area of the original rectangle

Answers

I don’t think so because I haven’t done this sorry

2700=300•2^10x solve for x

Answers

ANSWER

[tex]x = 0.31699[/tex]

EXPLANATION

The given exponential equation is

[tex]2700= 300 \times {2}^{10x} [/tex]

We divide through by 300 to get,

[tex]9 = {2}^{10x} [/tex]

We take the antilogarithm of both sides to base 2 to get,

[tex] log_{2}(9) = 10x[/tex]

[tex]\frac{log_{2}(3^2)}{10}= x[/tex]

[tex]\frac{2log_{2}(3)}{10}=x[/tex]

[tex]\frac{log_{2}(3)}{5}=x[/tex]

Or

[tex]x = \frac{1}{10} \times 3.16993[/tex]

[tex]x = 0.31699[/tex]

A population of bacteria increases by 30 every hour. Is this situation linear or exponential? A. Exponential, because the function grows by a common factor B. Exponential, because the function decreases C. Linear, because the function decreases D. Linear, because the function increases by a constant amount

Answers

Answer:

The correct option is D.

Step-by-step explanation:

In a linear function the rate of change is constant. It means either the function increase by a constant rate or function decrease by a constant rate.

In an exponential function the rate of change is not constant.

It is given that the population of bacteria increases by 30 every hour.

Since the population of bacteria increases by a constant rate therefore the population function is linear and it is defined as

[tex]P(t)=P_0+30t[/tex]

Where P₀ is initial population and t is time in hours.

Therefore correct option is D.

Final answer:

In the situation where a population of bacteria increases by a constant amount every hour, the growth pattern is linear, not exponential. Exponential growth in bacteria involves a doubling (or increase by a certain factor), not a fixed increase, and results in a J-shaped curve when plotted over time.

Explanation:

The situation presented in the question, where a population of bacteria increases by 30 every hour, represents a linear function. This is because the function increases by a constant amount. So, the answer is D. Linear, because the function increases by a constant amount. The given scenario differs from an example of exponential growth typically seen in bacteria. In exponential growth, the population of bacteria would double (or increase by a certain factor) each hour as opposed to increasing by a fixed amount. Exponential growth in bacteria occurs when there is an unlimited supply of nutrients, and the population size, when plotted over time, results in a J-shaped growth curve. Here, the rate of increase itself increases with time. In contrast, the linear growth described in the question indicates a steady rate of increase.

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125 is 500% of what number

Answers

let's say that number is "x", so "x" is then the 100%.

we know 125 is the 500%, and "x" is the 100, what is "x"?


[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 125&500 \end{array}\implies \cfrac{x}{125}=\cfrac{100}{500}\implies \cfrac{x}{125}=\cfrac{1}{5} \\\\\\ 5x=125\implies x=\cfrac{125}{5}\implies x=25[/tex]

evaluate the expression when w=3,x=-2,y=6 and z=0.5
yz/w + 2x

Answers

Substitute the values of w, x, y and z to the expression:

[tex]w=3,\ x=-2,\ y=6,\ z=0.5\\\\\dfrac{yz}{w}+2x=\dfrac{(6)(0.5)}{3}+(2)(-2)=\dfrac{3}{3}-4=1-4=-3[/tex]

Answer: -3

Step-by-step explanation:

Divide fractions with thinking blocks

Answers

Answer:

draw out your diagram... if it was 1/2 draw one long shape (say it's a rectangle) and cut it once


Step-by-step explanation:

===/===

it should look something like this (represents 1/2)

Escape what is on sale for 60% off the regular $80 price what is the sales price

Answers

Answer:

$32 is the sales price.

Step-by-step explanation:

First, change the percentage to a decimal.

60% = 60/100 = 0.6

Next, multiply 0.6 with the regular price ($80)

80 x 0.6 = 48

$48 is the discount. Subtract from the original price

80 - 48 = 32

$32 is the sales price.

~

Answer:

$32

Step-by-step explanation:

The sales price = original price - original price * discount rate

Factor out the original price

sales price = original price (1 -discount rate)

We know the original price is 80

We know the discount rate is 60% = .6

Substitute these values in

sales price = 80 (1-.6)

sales price = 80 * .4

sales price = 32

In △ABC, CM is the median to AB and side BC is 12 cm long. There is a point P∈ CM and a line AP intersecting BC at point Q. Find the lengths of segments CQ and BQ , if P is the midpoint of CM

Answers

Answer:

CQ=4 cm, BQ=8 cm

Step-by-step explanation:

In given triangle ABC draw the line MD parallel to the AQ.

1. Consider triangle AMD. In this triangle PQ║MD (build) and CP=PM (P is midpoint of CM). Then by the triangle midline theorem,  line PQ is midline of triangle AMD and CQ=QD.

2. Consider triangle BAQ. In this triangle AQ║MD and AM=MB. Then by the triangle midline theorem,  line MD is midline of triangle BAQ and BD=QD.

Hence, CQ=QD=BD. Since BC=12 cm and

BC=BQ+QD+BD,

then  

[tex]CQ=QD=BD=\dfrac{12}{3}=4\ cm.[/tex]

Note that

BQ=BD+QD=4+4=8 cm.


Final answer:

By examining the properties of median CM and midpoint P, we conclude that segment CQ is equal to QB, and both are 6 cm long in △ABC since CM bisects AB and BC is given as 12 cm.

Explanation:

The problem involves a triangle △ABC with CM being a median to side AB, and a line segment AP that intersects BC at point Q. According to the given information, P is the midpoint of CM, which implies that CP is equal to PM. Because BC is 12 cm in length, and CM is a median, we deduce that M is the midpoint of AB. This fact leads us to conclude that the triangles △CMB and △CMA are congruent by the Side-Side-Side (SSS) postulate, which means that CQ is equal to QB, and both are 6 cm long since Q lies on BC.

Which of the following three dimensional objects has rotational symmetry about a line

Answers

Answer:

equilateral triangle, kite, regular pentagon, regular hexagon

a hexagon has rotational symmetry. Furthermore, the angle of rotation is 60° and since there are six copies of 60° in 360° (360 ÷ 60 = 6), we have that the order of rotation of a regular hexagon is six.


let me know if none of these r choices on ur test i will give u more examples :)

Answer:c rolling pin

Step-by-step explanation:

1. c reflectional and point

2. a reflectional

3. d.reflectional, rotational and point

4. c. rolling pin

5. c 10

if you flip a fair coin 6 times,what is the probability that you will get exactly 4 tails

Answers

Final answer:

The probability of getting exactly 4 tails when flipping a fair coin 6 times is 0.234375, or about 23.44%.

Explanation:

To find the probability of getting exactly 4 tails when flipping a fair coin 6 times, we can use the binomial probability formula. The formula is:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

P(X=k) is the probability of getting k tails (in this case, k=4)n is the number of trials (in this case, n=6)p is the probability of getting a tail on a single trial (in this case, p=0.5)C(n, k) is the number of combinations of n things taken k at a time (in this case, C(6, 4) = 15)

Plugging these values into the formula, we get:

P(X=4) = 15 * 0.5^4 * (1-0.5)^(6-4) = 15 * 0.0625 * 0.25 = 0.234375

So, the probability of getting exactly 4 tails when flipping a fair coin 6 times is 0.234375, or about 23.44%.

The spoke of wheel reaches from the center of the wheel to its rim if the circumstance of the wheel is 48 inches, how long is each spoke? Use 3.14 for and round your answer to the nearest hundredth.

Answers

Answer:

7.6 in

Step-by-step explanation:

c = 2πr       Divide each side by 2π

r = C/2π     Insert values

r = 48/(2×3.14)

r = 48/6.28

r = 7.6 in

What is the equation of the line-2,3 and 2,7

Answers

Answer:

The equation of the line that passes through the points (-2, 3) and (2, 7) is   x - y + 5 = 0.

Step-by-step explanation:

Find the distance between the points (5/2,3) and (3/2,8)

Answers

Answer:

d = [tex]\sqrt{26}[/tex] ≈ 5.1 ( to 1 dec. place )

Step-by-step explanation:

to calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = ([tex]\frac{5}{2}[/tex], 3) and (x₂, y₂ ) = ([tex]\frac{3}{2}[/tex], 8)

d =√ ([tex]\frac{3}{2}[/tex] - [tex]\frac{5}{2}[/tex])² - (8 - 3)²

  =[tex]\sqrt{1+25}[/tex] = [tex]\sqrt{26}[/tex] ≈ 5.1


what is the value of X

Answers

We know: The sum of measures of a tringle is equal 180°.

Therefore we have the equation:

m∠SQR + 58° + 35° = 180°

m∠SQR + 93° = 180°     subtract 93° from both sides

m∠SQR = 87°

Angles SQR and PQR are supplementary. The sum of the measures of supplementary angles is 180°.

Therefore:

x + 87 = 180     subtract 87 from both sides

x = 93

Given: ∆ABC, m∠C = 90° AL - is an angle bisector m∠ABC = 30°, LB = 18m Find: CL

Answers

Answer:

CL=9

Step-by-step explanation:

I'm sorry I can't explain it but the answer is 9.

The measure of CL is 9 m.

Given that, in ∆ABC, m∠C= 90° AL is an angle bisector m∠ABC = 30°, LB = 18 m.

We need to find the measure of CL.

What is an angle bisector?

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Now, sin 30°=CL/BL

⇒ 1/2 = CL/18

⇒ CL=9 m

Therefore, the measure of CL is 9 m.

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A biased sample is one in which every member of the group has an equal chance of being chosen. True or false?

Answers

Answer:

false

Step-by-step explanation:


This statement is false, in a biased sample every member does not have an equal chance of getting selected.

What is a biased sample?

If some individuals or groups from the population are not represented in the sample, the sample is biased.

Example of a biased sample:

The graph presented in the figure below, represents the drug usage by school students but this is a biased data because it does not include the students who have already passed out from the school or the students who were studying from home, as this data is not the complete data hence it is an example of a biased sample.

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is the length of MN on graph

Answers

Answer:

mn=[tex]\sqrt{40}[/tex]

Step-by-step explanation:

m(2,5)n=(4,-1)

[tex]mn^{2}[/tex]=[tex](4-2)^{2}[/tex]+[tex](5+1)^{2}[/tex]

[tex]mn^{2}[/tex]=40

mn=[tex]\sqrt{40}[/tex]

Nala has 5,000 customers now she has 100 how many customers did she went away

Answers

Nala had lost 4,900 of her customers.

Hope this helps!



Answer:

Nala served 4,900 customers.

Step-by-step explanation:

5,000 to 100

5,000-100=4,900


YaY!!!  u got it!!!! =)

Help please ?
What is the missing statement in the two column proof ?

Answers

You are correct. The answer is choice D

BD = BD by the reflexive property, which says that any segment is equal to itself

The hinge theorem says that the larger an angle is, the larger the opposite side will be. The converse goes in the opposite direction: if the side is larger, then the opposite angle is larger.

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