Answer:
7,920,000
Step-by-step explanation:
The question is asking the number of times that 4 inches fits in 500 miles. We need to divide 500 miles by 4 inches, but first we need to convert 500 miles into inches.
12 inches = 1 foot
5280 ft = 1 mile
500 miles * (5280 ft)/(1 mile) * (12 in.)/(1 ft) = 31,680,000 inches
Now that we know that 500 miles is the same as 31,680,000 inches, we divide that number of inches by 4 inches.
(31,680,000 inches)/(4 inches) = 7,920,000
Answer: 7,920,000
<span>let the angles be x and y.
as they are compliment
x+y=90
also given
x=7y
substituting value of x in first equation
7y+y=90
8y=90
therefore
y=11.25
x=7*y=78.75</span>
The formula for compound interest is: A=P(1+r/n)^nt
<span>A = $ 1,048.64</span>
Answer:
A. (-1, -4)
Step-by-step explanation:
The vertex can be found by converting the equation from standard form to vertex form.
<h3>Vertex</h3>
Considering the x-terms, we have ...
y = (x^2 +2x) -3
where the coefficient of x is 2. Adding (and subtracting) the square of half that, we get ...
y = (x^2 +2x +(2/2)^2) -3 -(2/2)^2
y = (x +1)^2 -4
Compare this to the vertex form equation ...
y = a(x -h)^2 +k
which has vertex (h, k).
We see that h=-1 and k=-4. The vertex is (h, k) = (-1, -4).
On the attached graph, the vertex is the turning point, the minimum.