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Alex787 [66]
3 years ago
11

Let f(x)=4x+7 and g(x)=3x-5. find (fog)(-4) A. -9 B. -61 C. -32 D. -17

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

Answer:

B

Step-by-step explanation:

To evaluate (f ○ g)(- 4), first evaluate g(- 4) then substitute this value into f(x)

g(- 4)  = 3(- 4) - 5 = - 12 - 5 = - 17, then

f(- 17) = 4(- 17) + 7 = - 68 + 7 = - 61 → B

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Mila [183]

Kevin painted \frac{1}{9} of the wall.

Solution:

Fraction of the wall painted by Elena = \frac{5}{9}

Fraction of the wall painted by Matthew = \frac{3}{9}

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Full wall can be taken as 1.

<u>To find the wall painted by Kevin:</u>

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

                          $=1-\frac{5}{9}-\frac{3}{9}

                          $=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}

To make the denominator same, multiply the numerator and denominator of the first term by 9.

                          $=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}

                          $=\frac{9-5-3}{9}

                          $=\frac{1}{9}

Rest of the wall = \frac{1}{9}

Hence the kevin painted \frac{1}{9} of the wall.

6 0
3 years ago
If Nicholas is located at (–3, 2), what is the distance to get to the grocery store?
PilotLPTM [1.2K]

Answer:

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5 0
3 years ago
Find the average value of f over region
SVETLANKA909090 [29]
D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

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The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx
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Answer:

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