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Ostrovityanka [42]
3 years ago
7

If f(x) = x2 and g(x)= 3x + 1, which expression represents g(f(x))?

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0
F(x)=x²
g(x)=3x+1

<span>g(f(x))=g(x²)=3x²+1    -    we just put x²  instead of x

ans.: B




Regards, M.Y.
</span>
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2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the re
xz_007 [3.2K]

Answer:

  • The length = x = 15 units
  • The width = x-5 = 10 units

Step-by-step explanation:

Let 'x' be the length of a rectangle

As the width of a rectangle is 5 units less than the length.

so

width of rectangle will be = w = x - 5 units

Area = 150 square units

Using the formula

Area = length × width

150=\left(x\right)\left(x-5\right)

150=x^2-5x

x^2-5x=150

Subtract 50 from both sides

x^2-5x-150=150-150

x^2-5x-150=0

\left(x+10\right)\left(x-15\right)=0

if

ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+10=0\quad \mathrm{or}\quad \:x-15=0

x=-10,\:x=15

As length can not be negative. so

x = 15 units

Hence,

The length = x = 15 units

The width = x-5 = 15-5 = 10 units

5 0
2 years ago
Please solve for w, p=21+2w
sp2606 [1]

Answer:

w = (p - 21)/2

Step-by-step explanation:

Rearrange the equation so that it is equal to w.

p = 21 + 2w

p - 21 = (21 + 2w) - 21

p - 21 = 2w

(p - 21)/2 = (2w)/2

(p - 21)/2 = w

w = (p - 21)/2

3 0
3 years ago
What is the remainder when the sum 10 to the power of 3 + 4 to the power of 2 divided by 8?
Basile [38]

Answer:

-76 is the remainder

Step-by-step explanation:

hope helps

7 0
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If the mean is 7, what is the total amount?
tatuchka [14]

Answer:

mean if 7

Step-by-step explanation:

the mean is 7

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3 years ago
Check to solve each problem. Please help!
e-lub [12.9K]

Answer: number 3 is 32 number 4 is 40 minutes

Step-by-step explanation:You see in number 3 it says a millipede has 14 more legs than a caterpillar. Also it states the total of the legs are 46. This means you must subtract. 46-14 is equal to 32. And for number 4 it states the total time of all her classes are 1 hour and 10 minutes. The yoga class is 30 minutes longer. This means you must subtract those 30 minutes from the 1 hour and 10 minutes. 1 hour and 10 minutes- 30 minutes is equal to 40 minutes. This is the answer.

Hope this helps!!  

7 0
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