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3 years ago

Simplify (x - y + 1) - (x + y - 1)

1 answer:

andrey2020 [161]3 years ago

5 0

First, distribute the minus sign across the second set. So you have:

x - y + 1 - x - y + 1

Now, we combine like terms:
x-x=0
-y-y=-2y
1+1=2

So we have -2y+2

Hope that helps.

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What is the slope of a line that goes through the points (10, -2) and (5,-5)? m =

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Answer:

m = 3/5

Step-by-step explanation:

use the formula so m = -5 - -2 / 5 - 10 , so m = -5+2 / -5

m = -3/-5 so m = 3/5

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3 years ago

Suppose we want to build a rectangular storage container with open top whose volume is $$12 cubic meters. Assume that the cost o

Snezhnost [94]

Answer:265.25

Step-by-step explanation:

Given

Volume of box $=12 m^3$

height is 3 times the width

let height, length and breadth be H, L & B

$H=3\times B$

$V=12=L\times B\times H$

4=B^2\times L[/tex]

$L=\frac{4}{B^2}$

Cost of side walls $ $8/m^2$

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Cost of side walls $=(2LH+2BH)\cdot 8$

Cost of base $=12LB$

Total cost $C=16LH+16BH+12LB$

$C=48LB+48B^2+12LB$

$C=\frac{192}{B}+48B^2+\frac{48}{B}$

differentiate C w.r.t B to get minimum cost

$\frac{\mathrm{d} C}{\mathrm{d} B}=-\frac{192}{B^2}+2\times 48 B-\frac{48}{B^2}$

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3 0

2 years ago

What is the equation of the line that passes through the point (6,4) and has a slope of -2/3

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Answer:

using the given points substitute it into the equation y=mx+c

therefore

y=4

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so we should c=intercept

Step-by-step explanation:

y=mx+c

4=-2/3(6)+c

4=-4+c

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3 years ago

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Levart [38]

Answer: size and shape

Step-by-step explanation:i got it right on the quiz

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2 years ago

A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the

Pepsi [2]

Answer:

$| x1 -25\ | \leq\ 6$ is the correct answer to the given question.

Step-by-step explanation:

Missing information

In this question options are missing.Following are the option

(a) $| x1 -25\ | \leq\ 6$

(b) $| x1 - 6 |\ > 25$

(d) $| x1 +25 |\ > 6$

As mention in the question On the highway, car is said to get 25 miles per gallon

We assume $x1= 25$

also that the value of $x1$ is fluctuate by 6 miles per gallon

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This can be written as

$x1\ -25 \leq \ \pm\ 6$

Therefore

$| x1 -25\ | \leq\ 6$ is the answer

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2 years ago

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