IfIf she graphs the number of bookmarks sold compared to the total money earned. The rate of change for the function graphed to the left is: 5/2.
<h3>Rate of change</h3>
Based on the graph the coordinate are:
(4,0), (8,10), (12,20)
Using slope formula to find the rate of change Slope=y2-y1/x2-x1
Hence,
(x1-y1)=(4,0) & (x2 -y2)= (8,10)
Let plug in the formula
Slope=10-0/8-4
Slope=10/4
Slope=5/2
Therefore If she graphs the number of bookmarks sold compared to the total money earned. The rate of change for the function graphed to the left is: 5/2.
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Y= -2x²-3x+2, (form y = ax² +b .x + c
The parabola opens downward & hence it's Vertex is a MAXIMUM.
We know that the axis of symmetry is -b/2a ==>3/(-4) ==>
x= - 3/4 (axis of symmetry. At x=-3/4 , y = 25/8 = 3.125
Hence the axis of symmetry is x= - 3/4 & the vertex is at (-3/4, 25/8)
If she puts 0 in the box she would have a direct variation.
Lydia writes the equation y = 5x - __ with a missing value.
She puts a value in the box and says that the equation represents a direct variation.
We have to choose the correct option from the given options that explain that the equation could represent a direct variation.
When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.
<h3>What is the
direct variation?</h3>
In form of y = ax, where y and x are in direct variation.
Consider the given equation y = 5x - __
For the equation to be in direct variation the value of the missing term has to be 0.
then the equation becomes,
y = 5x
Thus, If she puts 0 in the box she would have a direct variation.
Option (a) is correct.
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Answer:
AG = 4
AH = 21
EC = 12
CH = 5
HE = 7
Step-by-step explanation:
<u><em>The complete question is</em></u>
The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.
Which of the following statements are true? Select all that apply.
•AG = 4
•GC = 10
•AH = 21
•EC = 12
•EH = 5
•CH = 5
•HE = 7
The picture of the question in the attached figure
<u><em>Verify each statement</em></u>
1) AG = 4
we know that
----> radius of circle A
----> radius of circle C
substitute
therefore
The statement is true
2) GC = 10
we know that
----> radius of circle C
therefore
The statement is false
3) AH = 21
we know that
we have
----> radius of circle A
----> radius of circle C
----> radius of circle E
so
therefore
The statement is true
4) EC = 12
we know that
----> radius of circle C
therefore
The statement is true
5) EH = 5
we know that
----> radius of circle E
therefore
The statement is false
6) CH = 5
we know that
----> radius of circle C
----> radius of circle E
so
therefore
The statement is true
7) HE = 7
we know that
----> radius of circle E
therefore
The statement is true
B.
You are looking for something that does not let 25x go over 80.
