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sesenic [268]
3 years ago
12

Which of the following is the correct graph of the solution to the inequality-18>-5x+2>-48

Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0

Answer:

Step-by-step explanation:

we have

18 > -5x+2 > -48

This is a compound inequality

Remember that

A compound inequality i can divide in a system of two inequalities

so

18 > -5x+2 -----> inequality A

-5x+2 > -48 ---> inequality B

step 1

Solve the inequality A

18 > -5x+2

Multiply by -1 both sides

-18< 5x-2

-18+2< 5x

-16< 5x

Divide by 5 both sides

-3.2< x

Rewrite

x > -3.2

The solution of the inequality A is the interval ----> (-3.2,∞)

step 2

Solve the inequality B

-5x+2 > -48

Multiply by -1 both sides

5x-2 < 48

5x < 48+2

5x < 50

Divide by 5 both sides

x < 10

The solution of the inequality B is the interval ----> (-∞, 10)

step 3

Find the solution of the compound inequality

(-3.2,∞) ∩ (-∞, 10)=(-3.2,10)

All real numbers greater than -3.2 and less than 10

The graph in the attached figure

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6 0
3 years ago
What is the solution to the equation 2(x - 3) = 2x + 5
Genrish500 [490]
Hello there!

2(x - 3) = 2x + 5

Let's start by using the distributive property for the left side.

(2)(x) + (2)(-3) = 2x + 5

2x - 6 = 2x + 5

Then we need to add 6 to both sides

2x - 6 + 6 = 2x + 5 + 6

2x = 2x + 11

We need to transfer 2x on the left side, we gonna do that by subtracting 2x from both sides

2x - 2x = 2x + 11 - 2x

0 = 11

Thus,

There are no solutions.

I hope this helps!

Good luck with your career!
7 0
3 years ago
Read 2 more answers
What are the apparent zeros of the function graphed above ?
gregori [183]

Answer:

-2,1,4

Step-by-step explanation:

we have

y=x^{3}-3x^{2} -6x+8

we know that

The zeros of the function are the values of x when the values of the function is equal to zero

In this problem the apparent zeros are

For x=-2

y=0

For x=1

y=0

For x=4

y=0



3 0
3 years ago
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Linear function passes through the points (2, 9) and (7, 34). What is the rate of change?
Anastaziya [24]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
Cuál será la razón entre la cantidad de lejía y la cantidad de agua, si la taza contiene 200 ml (mililitros) y cada litro es 100
tatyana61 [14]

Answer:

Ratio of bleach and water = 1:4

Relación de lejía y agua = 1:4

Step-by-step explanation:

English Translation

What will be the ratio between the amount of bleach and the amount of water, if the filled, 1 L cup contains 200 ml (milliliters) of bleach and each liter is 1000 ml (milliliters)

The cup contains 1000 mL of liquid.

The cup contains 200 mL of bleach and given that the rest is water, there are (1000 - 200) mL of water in the cup.

Amount of bleach in cup = 200 mL

Amount of water in cup = 800 mL

Ratio of bleach to water = 200:800

divide by the least number

Ratio of bleach to water = 1:4

In Spanish/En español

La taza contiene 1000 ml de líquido. La taza contiene 200 ml de lejía y dado que el resto es agua, hay (1000 - 200) ml de agua en la taza.

Cantidad de lejía en taza = 200 ml

Cantidad de agua en taza = 800 ml

Relación de lejía a agua = 200:800

dividir por el menor número

Relación de lejía a agua = 1:4

Hope this Helps!!!

8 0
3 years ago
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