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love history [14]

2 years ago

6

Solve for r. 4r – 39 > -43 AND 8x + 31 < 23

1 answer:

Vsevolod [243]2 years ago

7 0

Answer:

$4r-39>-43$

$4r-39+39>-43+39$

$4r>-4$

$\frac{4r}{4}>\frac{-4}{4}$

$\boxed{r>-1}$

______________________

$8x+31$

$8x+31-31$

$8x$

$\frac{8x}{8}$

$\boxed{x$

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Using long division to find the quotient, what changes do you first

lora16 [44]

Answer:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

Step-by-step explanation:

Given

$Dividend = 125x^3 - 8$

$Divisor = 5x - 2$

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

$\frac{125x^3}{5x} =25x^2$

Write $25x^2$ at the top

Multiply $5x - 2$ by $25x^2$

$= 125x^3 - 50x^2$

Subtract from 125x^3 - 8

i.e.

$125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8$

Step 2:

Divide 50x^2 by 5x

$\frac{50x^2}{5x} = 10x$

Write $10x$ at the top

Multiply $5x - 2$ by $10x$

$= 50x^2 - 20x$

Subtract from 50x^2 - 8

i.e.

$50x^2 - 8 - (50x^2 - 20x) = 20x - 8$

Step 3:

Divide 20x by 5x

$\frac{20x}{5x} = 4$

Write $4$ at the top

Multiply $5x - 2$ by $4$

$= 20x - 8$

Subtract from 20x - 8

i.e.

$20x - 8 - (20x - 8) = 0$

Hence:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

8 0

3 years ago

I WILL GIVE BRAINLIEST!

Illusion [34]

Answer:

24 ft cubed

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula: $V=lwh$ , where $l$ is the length, w is the width, and h is the height.

Looking at the diagram, we can see that the length is 2 ft (so $l$ = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:

$V=lwh$

$V=2*4*3=24$

Thus, the answer is 24 ft cubed.

Hope this helps!

7 0

3 years ago

Read 2 more answers

Which of the following logarithms do not exist?

Rasek [7]

Answer:

B. logarithms of negative number don't exist

5 0

2 years ago

Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is

swat32

Answer:

1/3

Step-by-step explanation:

Range of data set: 12 - 6 = 6

Given that there is a uniform distribution:

P(6<x<7) = 1/6

P(7<x<8) = 1/6

P(8<x<9) = 1/6

P(9<x<10) = 1/6

P(10<x<11) = 1/6

P(11<x<12) = 1/6

where x is weight loss

Probability that weight loss is more than 10 pounds:

P(10<x<11) + P(11<x<12) = 1/6 + 1/6 = 1/3

3 0

3 years ago

Ethan's school has a sports field with an area of 6,450.35 square yards. if the length of the field is 90.85 yards, what is the

atroni [7]

Answer:

6450.35/90.85 = 71 yards.

Step-by-step explanation:

3 0

1 year ago