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stepladder [879]
2 years ago
8

A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang

le as a single polynomial in simplest form

Mathematics
1 answer:
Ksju [112]2 years ago
6 0

Answer:

x^3+x^2-5x+28

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses \left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4

2. apply +(-a)=-a rule x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4

3. Simplify

    Steps to simplify:

x^2x=x^3

3xx=3x^2

3\cdot \:4x=12x

7\cdot \:4=28

x^3+4x^2-3x^2-12x+7x+28

4. Add like terms =x^3+4x^2-3x^2-5x+28

5. Add like terms =x^3+x^2-5x+28

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Luda [366]
Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
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ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
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5 0
3 years ago
Read 2 more answers
Pls help thanksssssss
Helen [10]

Answer:

i have no idea

Step-by-step explanation:

i actually dont know but thnks for the points BTW

8 0
2 years ago
A wall of a building is 34 inches wide 16 inches is concrete and 4 inches is limestone what fraction of the wall is brick
Molodets [167]

Answer:

7/17

Step-by-step explanation:

16 inches of concrete plus 4 inches of limestone come to 20 inches of concrete and limestone combined.  Subtracting 20 inches from 34 inches yields 14 inches.  14 inches of the total wall thickness (34 inches) is brick.  This fraction is 14/34, or 7/17.

4 0
3 years ago
1.) Solve for c:<br> 4c + 5 &gt; -c-5
Svet_ta [14]

Answer:

Step-by-step explanation:

5 0
3 years ago
Find the quotient 4/6÷4/12
maxonik [38]
Keep Change Flip is the way to think about dividing fractions.
First-  4/6 divided by 4/12
Next- Change the division sign to multiplecation   4/6 time 4/12
Then- Flip the second number    4/6 times 12/4
Now multiply

48/24   this simplifies down to 2
4 0
3 years ago
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