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Feliz [49]
3 years ago
7

A scale model of an office building is 3' x 2' x 5' (length, width, height). If the actual building has a length of 45 feet, wha

t is the volume of the actual building?
A)81,000 cubic feet

B)102,150 cubic feet

C)101,250 cubic feet

D)30,000 cubic feet
Mathematics
1 answer:
Finger [1]3 years ago
5 0

Answer:

C 101,250

Step-by-step explanation:

divide 45 by 3 its 15 so do 15x2 and 15x5 and multiply those together to find the volume

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3 0
3 years ago
1.the graph of y = x² is moved five units upward
KonstantinChe [14]

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

8 0
2 years ago
Multiply (3x2-4x+5)(x2-3x+2)
Iteru [2.4K]

So with this, you can rewrite the equation as: (3x^2\times x^2)+(3x^2\times -3x)+(3x^2\times 2)+(-4x\times x^2)+(-4x\times -3x)+(-4x\times 2)+(5\times x^2)+(5\times -3x)+(5\times 2)

Firstly, solve the multiplication: 3x^4+(-9x^3)+6x^2+(-4x^3)+12x^2+(-8x)+5x^2+(-15x)+10

Next, combine like terms, and <u>your answer will be: 3x^4-13x^3+23x^2-23x+10</u>

7 0
3 years ago
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