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3 years ago

Simplify: 6s - (3s - 2)

Mathematics

2 answers:

DaniilM [7]3 years ago

8 0

Simplified would be: 3s + 2

Illusion [34]3 years ago

3 0

Answer:

Step-by-step explanation:

6s - 3s + 2

(6s - 3s) +2

3s + 2

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Devon made a box with length x+1, width x+3, and height x-3. What is the volume of Devon's box as a function of x?

erica [24]

Answer:

(a)

$V=x^3+x^2-9x-9$

(b)

$x=10$

(c)

$x=\frac{7}{2}$

Step-by-step explanation:

we are given

length is x+1

$L=x+1$

width is x+3

$W=x+3$

height is x-3

$H=x-3$

(a)

we can use volume formula

$V=L\times W\times H$

now, we can plug it

$V=(x+1)\times (x+3)\times (x-3)$

now, we can simplify it

$V=x^3+x^2-9x-9$

(b)

we are given volume =1001

so, we can set V=1001

and then we can solve for x

$V=x^3+x^2-9x-9=1001$

now, we can factor it

$\left(x-10\right)\left(x^2+11x+101\right)=0$

$x-10=0$

$x=10$

(b)

we are given volume

so, we can set

$V=14\frac{5}{8}=\frac{14\times 8+5}{8}$

$V=\frac{117}{8}$

and then we can solve for x

$V=x^3+x^2-9x-9=\frac{117}{8}$

now, we can factor it

$8x^3+8x^2-72x-189=0$

$\left(2x-7\right)\left(4x^2+18x+27\right)=0$

$2x-7=0$

$x=\frac{7}{2}$

8 0

4 years ago

Marcus was going up 10 stairs in his office. Write an absolute value expression for the given statement.

GenaCL600 [577]

The answer is |10| absolute value CANT be negative so it is 10

6 0

2 years ago

Hector added 30.24 + 16.26. His work is shown.

Yuki888 [10]

Answer:

He did not regroup hundredths when adding digits

Step-by-step explanation:

30.24

+16.26

-----------

46.50

It can't be the first two, and because .04+.06 are hundredths, it must be the third one.

He did not regroup hundredths when adding digits.

7 0

3 years ago

Read 2 more answers

The coffee table weighs 100 pounds. The end table weighs 10 times less than the coffee

kramer

Answer:

Step-by-step explanation:

if you divide 100 divided by 10 equal 10 and that's the correct answer for how I got 10

3 0

3 years ago

Suppose the equation for line A is given by 2x = 5y – 25. If line A and B are perpendicular

Ludmilka [50]

The required equation of line B is 2y+5x=-2

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the line A expressed as:

2x = 5y – 25

Rewrite in standard form

5y = 2x + 25

y = 2/5 x + 5

The slope will be 2/5

The slope of the perpendicular line will be;

$M = \frac{-1}{(2/5)}\\M = \frac{-5}{2}$

Substitute the point (-6, 14) and slope -5/2 into the equation above to get the required equation of line B

$y-14=-5/2(x+6)\\2(y-14) = -5(x+6)\\2y-28=-5x-30\\2y+5x=-30+28\\2y+5x=-2\\$

Hence the required equation of line B is 2y+5x=-2

Learn more here: brainly.com/question/13140886

6 0

3 years ago