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4 years ago

8. Your family is moving and is gathering boxes for the move. Two of the

Mathematics

1 answer:

m_a_m_a [10]4 years ago

3 0

Answer:

see below

Step-by-step explanation:

Volume = Length x width x height

a) Box 1 V = 3x · x · 2x = 6x³

b) Box 2 V = 2x · 4x · x = 8x³

c) Add the volumes 6x³ + 8x³= 14x³

d) plug 6 in for x

14(6³) = 3,024 units

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What exponent should you use to represent the power of 10 below? 10,000,000 = 10?

pashok25 [27]

Answer:

Step-by-step explanation:

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3 years ago

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5. f(x) = 3x³ - 4x² +6x and g(x)=5x ³+ 2x²- 3x. What is f(x) - g(x)?

sasho [114]

Answer:

Step-by-step explanation:

$f(x)=3x^3-4x^2+6x\\\\g(x)=5x^3+2x^2-3x\\\\f(x)-g(x)=(3x^3-4x^2+6x)-(5x^3+2x^2-3x)\\\\=3x^3-4x^2+6x-5x^3-2x^2-(-3x)\qquad\text{combine like terms}\\\\=(3x^3-5x^3)+(-4x^2-2x^2)+(6x+3x)\\\\=-2x^3-6x^2+9x$

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3 years ago

Will mark Brainliest!!!!

Zinaida [17]

Answer:

Parallel
Neither parallel nor perpendicular
Perpendicular

Step-by-step explanation:

Given line m:

y = 4/5x - 3

Relationship of line m with following lines:

1. y = 4/5x + 3

Same slope, different y-intercept
Parallel

2. y = -4/5x + 3

Slope are negative, different y-intercept
Neither parallel nor perpendicular

3. y = - 5/4x + 3

Slopes are negative-reciprocal, different y-intercept
Perpendicular

7 0

3 years ago

If f(x) = 7x+6 and g(x)=8x-4 find f(g(-2))

sp2606 [1]

Answer:

$f(g(-2))=-134$

Step-by-step explanation:

So we have the two functions:

$f(x)=7x+6\text{ and } g(x)=8x-4$

And we want to find f(g(-2)).

First, let's find g(-2):

$g(-2)=8(-2)-4$

Multiply:

$g(-2)=-16-4$

Subtract:

$g(-2)=-20$

Now, substitute:

$f(g(-2))=f(-20)$

Now, find the value of f(-20):

$f(-20)=7(-20)+6$

Multiply:

$f(-20)=-140+6$

Add:

$f(-20)=-134$

So:

$f(g(-2))=-134$

And we're done!

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3 years ago

-8= 3-5(x+6) solving algebraicaily

SOVA2 [1]

Let's solve your equation step by step

-8=3-5(x+6)

Step 1: simplify both sides of the equation

-8=3-5(x+6)

-8=3+(-5)(x)+(-5(6) (distribute)

-8=3+-5x+-30

-8=(-5x)+(3+-30) (combine like terms)

-8=-5x+-27

-8=-5x-27

Step 2: flip the equation

-5x-27=-8

Step 3: add 27 to both sides

-5x-27+27=-8+27

-5x=19

Step 4: Divide both sides by -5

-5x/-5 = 19/-5

Answer : x= -19/5

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4 years ago

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