Answer:
<h3>Q1</h3>
The graph of y = f(x), has vertex at (1, -2)
<u>The vertex of a function f(x - 3) is going to be:</u>
<h3>Q2</h3>
- <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>
The axis of symmetry is at the same distance from the symmetric points.
x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2
The point is (2, -7)
<h3>Q3</h3>
The graph in blue is the translation of the red to the left by 2 units.
<u>So the equation is:</u>
<h3>Q4</h3>
y = h(x) is graphed
- h(7) = 5
- h(h(7)) = h(5) = -1
<h3>Q5</h3>
The graph of the function y = u(x) given
This is a odd function.
The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)
<u>Therefore:</u>
- u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
- [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
- 0 + 0 = 0
1. Let x be the original amount of baseball cards,
2. half of x was lost so x divided by 2.
3. you buy 18 cards to replace some that were lost
4. You can find the awnser by subtracting 18 from 30, which is 12.
5. Now lets remember that half of your cards were lost. meaning that 12 is only half of what you started with.
6. 12 times 2 would be 24.
7. The Awnser is 24
8. To check your work, you can say x=24, 24 divided by 2 is 12, and 12 plus 18 is 30.
Answer:
Length = 30
Width = 5
Step-by-step explanation:
So the formula for perimeter is
P = 2L+2W
And we know that:
L = 6W
So then we put in all the information that we do know
70 = 2(6W)+2W
And pop that into a calculator and you get W=5
So now we put that information into L = 6W to get:
L = 6×5
L = 30
The area of a right triangle with side lengths 7 and 7 is 
3( 1/2 - y) = 3/5 + 15y
Applying distributive property:
3*1/2 - 3y = 3/5 + 15y
3/2 - 3y = 3/5 + 15y
3/5 is adding on the right, then it will subtract on the left
3y is adding on the left, then it will subtract on the right
3/2 - 3/5 = 15y + 3y
15/10 - 6/10 = 18y
9/10 = 18y
18 is multiplying on the right, then it will divide on the left
9/10*1/18 = y
1/10*1/2 = y
1/20 = y
