Answer:
see the attachment for a graph
Step-by-step explanation:
The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.
Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.
Answer:
8/5=x
Step-by-step explanation:
1/2x+12=8x
Subtract 1/2x from both sides
12=15/2x
Multiply 2/15 on both sides
8/5=x
Answer:
$10.45
Step-by-step explanation:
14.95 divided by 1.43 = 10.50
Answer:
A) -8x^2 - 26x - 15
Step-by-step explanation:
(4x + 3)(-2x - 5)
FOIL
first: 4x*-2x = -8x^2
outer : -5*4x = -20x
inner: -2x*3 = -6x
last: -5*3 = -15
Add these together
-8x^2 -20x-6x -15
-8x^2 -26x-15
Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
