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3 years ago

Find a solution of the linear inequality. y>_4x-5

Mathematics

1 answer:

irga5000 [103]3 years ago

4 0

Answer:

(0,0) is among the solutions

Step-by-step explanation:

The given inequality is $y\ge4x-5$

A solution to this inequality is any ordered pair that satisfies the inequality.

Let us check for x=0 and y=0

We substitute to get:

$0\ge4*0-5$

$0\ge-5$ ....This is true.

Therefore (0,0) is a solution to the given inequality.

There are infinitely many solutions.

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1.)A rectangle has an area of 72 square centimeters and the length is twice the width. The perimeter of the rectangle

Greeley [361]

area = L x w = 72

L = 2w

72 = 2w*w = 2w^2

divide by 2

36 = w^2

w = sqrt(36) = 6

l = 2*6 =12

perimeter = 2L +2W = 2*12 + 2*6 = 24+12 = 36

sqrt(40)= 6.324555 cm ( round to 6.32 )

6.32 - 4 = 2.32 cm original length of a side

7 0

3 years ago

URGENT!!!

allsm [11]

Answer:

inequality form -2<x<5

interval notation (-2,5)

sure of my answer

−Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.

Dmitriy789 [7]

Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

$S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}$
$S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}$
$\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}$
$\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}$
$\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)$
$S=\dfrac12\left(1-\dfrac1{81}\right)$
$S=\dfrac{40}{81}$

8 0

3 years ago

I will mark you brainiest!!! What is 6 1/3 equal to?

bija089 [108]

Answer:

³√6

Step-by-step

³√6

6 0

3 years ago

Read 2 more answers

How do you perform this: 2x+3y=25 3x+4y=22

meriva

Answer:

x = -34 , y = 31

Step-by-step explanation suing Gaussian elimination:

Solve the following system:

{2 x + 3 y = 25

3 x + 4 y = 22

Express the system in matrix form:

(2 | 3

3 | 4)(x

y) = (25

22)

Write the system in augmented matrix form and use Gaussian elimination:

(2 | 3 | 25

3 | 4 | 22)

Swap row 1 with row 2:

(3 | 4 | 22

2 | 3 | 25)

Subtract 2/3 × (row 1) from row 2:

(3 | 4 | 22

0 | 1/3 | 31/3)

Multiply row 2 by 3:

(3 | 4 | 22

0 | 1 | 31)

Subtract 4 × (row 2) from row 1:

(3 | 0 | -102

0 | 1 | 31)

Divide row 1 by 3:

(1 | 0 | -34

0 | 1 | 31)

Collect results:

Answer: {x = -34 , y = 31

6 0

3 years ago