Answer:
Slope:12 y-Intercept:2
Step-by-step explanation:
Graph the line using the slope and y-Intercept, or two points.
x | y
0 | 2
1 | 14
Answer:
the requirements are missing:
- express the height of the rectangle in terms of w
- express the area of the rectangle in terms of w
1) the height of the rectangle is:
w + h + h + w = 500 + w
2w + 2h = 500 + w
2h = 500 + w - 2w = 500 - w
h = (500 - w) / 2 = 250 - 0.5w
2) the are of the rectangle is:
w x h = w x (250 - 0.5w) = 250w - 0.5w²
The equation in the vertex form of g(x) is:

<h3>
How to get the equation of function g?</h3>
We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).
So first, let's rewrite f(x) to its vertex form:

The vertex is at:

The y-value of the vertex is:

Then the vertex form of f(x) is:

If we move this vertex 2 units below, and 3 units to the left, then we have:

That is the equation for g(x) in vertex form.
If you want to learn more about quadratic equations:
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Sorry but I’m lost what are you talking about
Answer:
$14,277.80
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case;
P = $7,400
t = 8 years
n = 4 (quarterly)
r = 9.5% = 0.095
Using equation 1.
A = $7,400(1+0.095/4)^(4×7)
A = $7,400(1.02375)^(28)
A = $7,400(1.929432606035)
A = $14,277.80
final amount/value after 8 years A =$14,277.80