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4 years ago

Let f(x)=-2x-7 and g(x)=-4x+6 find (g o f )(-5)

1 answer:

3 0

Easy

(g o f)(-5)=g(f(-5))

first evaluate f(-5), then input the result into g(x)

f(-5)=-2(-5)-7
f(-5)=10-7
f(-5)=3

g(3)=-4(3)+6
g(3)=-12+6
g(3)=-6

(g o f)(-5)=-6

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Write an equation of the line passing through the point A(6,−1)A(6,−1) that is perpendicular to the line y = −2x+8y = −2x+8.

Olegator [25]

So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is:
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4 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

Artist 52 [7]

X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20------------------------------- Factors of Q (leading Coefficient) = 1
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Of the choices given only the number 1 is a possible root.

4 0

4 years ago

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The width of a rectangle is 13 inchs more than 5 times the length. if x represents the length, write an algebraic expression in

rjkz [21]

perimeter is 2L+2W

problem states width = 5L+13

so plug that in for w:

P=2L+2(5L+13)

now simplify

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3 years ago

I don’t really understand what to do. So if anyone could help I’d be amazing.

Sonbull [250]

Answer:

x = 1

Step-by-step explanation:

Oh, this is one of those incredibly cool circle theorems! You might like this page:

https://www.mathopenref.com/secantsintersecting.html

For two secants that intersect at a point outside the circle, the product

(segment outside the circle)(whole secant) is the same for both secants!

What's the length of the entire secant that has <em>x</em>'s on it? 6x + 8x = 14x.

What's the length of the entire secant that has 9 and 7 on it? 9 + 7 = 16

$8x(14x) = (7)(16) \\ 112x^2 = 112 \\ x^2=1 \\ x=1$

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3 years ago

Which conic section is represented by the following equation?

Alla [95]

Answer:

its a hyperbola

Step-by-step explanation:

did it on edge 2021

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3 years ago

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