Answer:
42 - 24n
Step-by-step explanation:
(7-4n) 6
Distribute
7*6 - 4n*6
42 - 24n
5∛x + 4 = 44
5∛x = 40
∛x = 8
x = 8^3
x = 512
answer
C. 512
$2,940, because it’s 20% of $14,700
Answer: 5,600
Explanation: By multiplying 0.10 (4,000) to find the interest for one year, you get 400. Because she is using this loan for 4 years you multiply that one year interest by 4. 400 times 4 is 1600. Then, you add that 1600 (which is the total interest for 4 years) to the loan, to get an answer of 5,600.
Answer:
y = x^2/ 60 + 15
=>( x - h)^2 = 4a[ (x^2/6 + 15) - k ].
Step-by-step explanation:
Okay, in order to solve this question very well, one thing we must keep at the back of our mind is that the representation for the equation of a parabola is given as ; y = ax^2 + bx + c.
That is to say; y = ax^2 + bx + c is the equation for a parabola. So, we should be expecting our answer to be in this form.
So, from the question above we are given that "the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground"
We will make an assumption that the point on the ground is (0,0) and the focus is (0,30). Thus, the vertex (h,k) = (0,15).
The equation that best describes the equation of the satellite is given as;
(x - h)^2 = 4a( y - k). ------------------------(1).
[Note that if (h,k) = (0,15), then, a = 15].
Hence, (x - 0)^2 = (4 × 15) (y - 15).
x^2 = 60(y - 15).
x^2 = 60y - 900.
60y = x^2 + 900.
y = x^2/ 60 + 15.
Hence, we will have;
(x - h)^2 = 4a[ (x^2/6 + 15) - k ].
