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Alenkinab [10]
3 years ago
7

F(x) = 10-x and g(x) = x2 + 1 What is g(8) + f(7)

Mathematics
1 answer:
Olin [163]3 years ago
6 0
Plug in 8 for g(8) to get 8(2) + 1 which is equal to 17, plug in 7 for f(x) to get 10-7 which is equal to 3. 17 + 3 is equal to 20 which means g(8) + f(7)= 20
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What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
AveGali [126]

Answer: \text{Area of the square shaped traffic sign }=16x^2+9+24x

Step-by-step explanation:

Given: The side of the square shaped traffic sign = 4x+3

We know that the area of square is given by:-

Area= side^2

Therefore, the area of the side of the square shaped field is given by:-

Area=(4x+3)^2

We know that , (a+b)^2=a^2+b^2+2ab

Therefore,

(4x+3)^2=(4x)^2+(3)^2+2(4x)(3)\\=16x^2+9+24x

Hence, \text{Area of the square shaped traffic sign }=16x^2+9+24x

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3 years ago
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What is the piecewise function for g(x)=2|x-1|+2
Scorpion4ik [409]
Hope this answer helps you

7 0
4 years ago
Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9
lorasvet [3.4K]

Using the asymptote concept, we have that:

  • The vertical asymptote is x = 9.
  • The horizontal asymptote is y = 3.
  • The end behavior is that as x \rightarrow \infty, y \rightarrow 3.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{3x}{x - 9}

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3

Hence, the end behavior is that as x \rightarrow \infty, y \rightarrow 3.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

8 0
2 years ago
Write the slope intercept form of the equation of the line described.
Lady bird [3.3K]

Answer:

y= -5

Step-by-step explanation:

x=0 is a vertical graph hence the perpendicular graph would be a horizontal line, a y= ____ graph.

Since it passes through the point (-2, -5),

the equation of the line is y= -5.

This would be in slope- intercept form since the gradient of horizontal lines is zero.

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Given that gradient =0, m=0

y= 0x +c

when x= -2, y= -5,

-5= 0(-2) +c

-5= c

c= -5

Thus the equation is y= -5.

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