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
Answer:
<u>The original price of the laptop was US$ 875</u>
Step-by-step explanation:
1. Let's review all the information given for solving this question:
Sale price of the laptop = US$ 525
Discount from the original price = 40%
2. Let's find the original price of the laptop
Original price of the laptop = x
Sale price of the laptop = US$ 525
Sale price of the laptop = x - 40%x
525 = x - 0.4x
525 = x - 4x/10 (0.4 = 4/10)
5,250 = 10x -4x (Multiplying by 10 at both sides)
5,250 = 6x
5,250/6 = 6x/6 (Dividing by 6 at both sides)
875 = 6
<u>The original price of the laptop was US$ 875</u>
1.82 x 10^-6
When it is a negative number, you move the decimal to the left.
0.00000182
Answer:
45(a + 2b)
Step-by-step explanation:
45a
step1 in order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...) The number of times that each prime divides the original integer becomes its exponent in the final result
Prime number 3 to the power of 2 equals 9 .
Prime number 5 to the power of 1 equals 5 .

90b
do the same as above
Prime number 2 to the power of 1 equals 2 .
Prime number 3 to the power of 2 equals 9 .
Prime number 5 to the power of 1 equals 5 .

R+5=3r+7
-5 -5
r=3r+2
-3r -3r
-2r=2
÷-2 ÷-2
r=-1