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liraira [26]
4 years ago
5

A line segment has endpoints labeled J and K and a collinear point M. Which of the following must be true?

Mathematics
1 answer:
OlgaM077 [116]4 years ago
6 0

It's all of the above.


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What is the vertex of the function?
egoroff_w [7]
<h2>Explanation:</h2><h2></h2>

Here you haven't provided any function, so I'll assume this one:

f(x)=3x^2-18x+33

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

V(x,y) \\ \\ \\ x=-\frac{b}{2a} \\ \\ y=f(-\frac{b}{2a}) \\ \\ \\ where: \\ \\ \\ f(x)=ax^2+bx+c \\ \\ \\ So: \\ \\ a=3 \\ \\ b=-18 \\ \\ c=33

Therefore:

x=-\frac{(-18)}{2(3)}=3 \\ \\ f(3)=3(3)^2-18(3)+33=27-54+33=6

Therefore, the vertex is:

\boxed{V(3,6)}

6 0
4 years ago
Match the average rates of change of f(x) to the corresponding intervals.
spin [16.1K]

The average rates of change of f(x) and their corresponding intervals are given as:

Interval          Rate of Change

[-5, -1]                 -8

[-4, -1]                 -7

[-3, 1]                  -4

[-2, 1]                  -3.

<h3>What is the explanation for the above?
</h3>

Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]  

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

= - 7

c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

rate of change = [f (1) - f(-2)] / [1 - (-2)]

= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
brainly.com/question/25184007
#SPJ1

Download xlsx
6 0
2 years ago
The price of a dvd is $24.00 plus 8% sales tax
hram777 [196]

Answer:

25.92

Step-by-step explanation:

5 0
3 years ago
Help I will give brainless
Reptile [31]

Answer:

1) -4       2)-3        3) -2     4) -1    5) 0

Step-by-step explanation:

4 0
2 years ago
Max and his friend zeke are comparing their ages. they figure out that if they double maxs age from 3 years ago and add it to ze
chubhunter [2.5K]
The first step of solving this problem is to find your x, which is the unknown number. The unknown number is the age of Max. Once you find the x you can write out your equation.

The equation for this problem is:

2x+8=26

the first step is to subtract 8 from both sides so that all you have on the left side is 2x and your equation will look like ths:

2x=18

after subtracting the 8; divide everything by the coefficient of x which is 2, your result is:

x=9

Max is 9 years old.
7 0
4 years ago
Read 2 more answers
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