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3 years ago

I’m so confused on how to do this

Mathematics

1 answer:

dimaraw [331]3 years ago

3 0

Answer:

Step-by-step explanation:

First: Recognize that (f o g)(x) is the "composition" of two functions, where g(x) serves as the input to f(x). We are given f(x) = 2x+3 and g(x) = x+5. You could find g(3) right now: it is g(3) = 3+5 = 8. Use this 8 as the input to f(x): f(8) = 2(8)+3 = 19.

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Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).

Step2247 [10]

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

$y-1=\frac{1}{4}\left(x+4\right)$

Step-by-step explanation:

Given the points

(-4,1)

(4,3)

Finding the slope between the points (-4,1) and (4,3)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)$

$m=\frac{3-1}{4-\left(-4\right)}$

Refine

$m=\frac{1}{4}$

Point slope form:

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

in our case,

m = 1/4

(x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

$y-y_1=m\left(x-x_1\right)$

$y-1=\frac{1}{4}\left(x-\left(-4\right)\right)$

$y-1=\frac{1}{4}\left(x+4\right)$

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

$y-1=\frac{1}{4}\left(x+4\right)$

5 0

3 years ago

The diameter of a circle endpoints are A(-1, 5) and B(4,-3). Use the midpoint formula to find the coordinates of the center of c

mina [271]

Answer:

centre = ( $\frac{3}{2}$ , 1 )

Step-by-step explanation:

using the midpoint formula

midpoint = [ $\frac{1}{2}$ (- 1 + 4), $\frac{1}{2}$ (5 - 3) ] = ( $\frac{3}{2}$ , 1 )

6 0

3 years ago

if the sum of a number and nine is doubled, the result is seven less than the number. find the number.

avanturin [10]

X=the number we have to find.
This expression "2(x+9)" is when the sum of a number and nine is doubled.
If the result is seven less than the number, we will have: x-7

We can suggest the following equation:
2(x+9)=(x-7)
2x+18=x-7
2x-x=-7-18
x=-25

answer: the number would be: -25.

3 0

3 years ago

Please Evaluate 1/6 + 2/3

weeeeeb [17]

Answer:

Step-by-step explanation:

4/6

5 0

3 years ago

Read 2 more answers

Please help me with how to solve this equation by completing the square. The answer should be (2, -6)

OLga [1]

Answer:

(2, -6)

Step-by-step explanation:

5n^2+20n-60

(5n+30)(n-2)

5n + 30 = 0

5n = -30

(5n = -30)/5

n = - 6

n - 2 = 0

n = 2

answer: (2, -6)

5 0

3 years ago