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3 years ago

Solve the inequality for x: 2x+3<23

Mathematics

2 answers:

labwork [276]3 years ago

4 0

Answer:

i think the answer is 115

i am not sure tho..

its not 115

SCORPION-xisa [38]3 years ago

3 0

Answer:

X<10

Steps:

Move constant to the right

2x<23-3

Subtract the numbers

2x<20

Divide both sides by 2

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Which ordered pairs are solutions to the inequality 2x+y>−4?

hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

$2x+y>-4$

$y>-2x-4$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-12)$

Substitute the value of x and y in the inequality

$-12>-2*5-4$

$-12>-14$ ------> is True

therefore

the ordered pair $(5,-12)$ is a solution of the inequality

case b) $(-3,0)$

Substitute the value of x and y in the inequality

$0>-2*-3-4$

$0>2$ ------> is False

therefore

the ordered pair $(-3,0)$ is not a solution of the inequality

case c) $(-1,-1)$

Substitute the value of x and y in the inequality

$-1>-2*-1-4$

$-1>-2$ ------> is True

therefore

the ordered pair $(-1,-1)$ is a solution of the inequality

case d) $(0,1)$

Substitute the value of x and y in the inequality

$1>-2*0-4$

$1>-4$ ------> is True

therefore

the ordered pair $(0,1)$ is a solution of the inequality

case e) $(4,-12)$

Substitute the value of x and y in the inequality

$-12>-2*4-4$

$-12>-12$ ------> is False

therefore

the ordered pair $(4,-12)$ is not a solution of the inequality

Verify

using a graphing tool

see the attached figure

the solution is the shaded area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality

7 0

3 years ago

Read 2 more answers

The rectangular prism shown has a length of 5 cm, a height of 3 cm, and the width of 4 cm. What is the surface area of this pris

PilotLPTM [1.2K]

Answer:20

Step-by-step explanation:

because you are finding out the base so width times length

8 0

3 years ago

Find the slope .....

balandron [24]

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4 0

3 years ago

What is [(x+4)^2]^3 simplified

Arte-miy333 [17]

Answer:

x^6 + 4,096

Step-by-step explanation:

[(x+4)^2]^3

(x^2 + 16)^3

x^6 + 4,096

8 0

3 years ago

That average person ate 208 pounds of vegetables last year and 125 5/8 pounds of fruit. How many pounds of vegetables and fruit

Andrew [12]

There are 12 months in one year. To find how many pounds of vegetables each person ate, divide 208 by 12 to get 17.33333 or 17 1/3. The average person ate 17.33333 pounds of vegetables per month last year. To find how many pounds of fruit the average person ate each month, divide 125 5/8 by 12 to get 10.46875 or 10 15/32. If the fruits and vegetables are combined, add 208 and 125 5/8 together and divide by 12 to get 27 77/96 or 27.80208.

The average person ate 17.33333 pounds of vegetables per month.

The average person ate 10.46875 pounds of fruits per month.

The average person ate 27.80208 pounds of combined fruits and vegetables per month.

I hope this helps :)

5 0

3 years ago