Answer:
The answer to your question is:
1) x = 4
2) x = -2
Step-by-step explanation:
a) (x-3)² = x^{2} - 10x +25
x² - 6x + 9 = x² - 10x + 25
10x - 6x = 25 - 9
4x = 16
x = 4
b)
(x+4)³ = x³ + 12x² - 16x
x³ + 3(x²)4 + 3x(16) + 4³= x³ + 12x² - 16x
x³ + 12x² + 48x + 64 = x³ + 12x² - 16x
48x + 64 = 16x
48x - 16x = -64
32 x = -64
x = -64/2
x = -2
Answer:
$2,323.23
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, we will change 3% into its decimal form:
3% -> 
-> 0.03
Now, plug the values into the equation:
After 5 years, you will have $2,323.23
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
Answer:
place your dot at (0,-8) go up 2 and over right 3
Step-by-step explanation:
