15:24 is divisible by 3, simplifying it down to 3:8. 19:24, 7:8, and 6:8 are all obviously larger than this ratio, and 1:2 can be equalized to 4:8, which is also bigger than 3:8, so none of the answer choices are less than 15:24.
Answer:
<h2>g = 17</h2>
Step-by-step explanation:
15 less than twice a number g is 19
2g - 15 = 19 <em>add 15 to both sides</em>
2g - 15 + 15 = 19 + 15
2g = 34 <em>divdie both sides by 2</em>
2g : 2 = 34 : 2
g = 17
Answer:
Arlene had 175 and Celine had 225
Step-by-step explanation:
The factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)
<h3>How to determine the factored form?</h3>
The given parameters are:
- Leading coefficient, a = 1
- Zeros = -3, -3, 4, and 2.
Rewrite the zeros as:
x = -3, x = -3, x = 4 and x = 2
Set the zeros to 0
x + 3 = 0, x + 3 = 0, x - 4 = 0 and x - 2 = 0
Multiply the zeros
(x + 3) * (x + 3) * (x - 4) *(x - 2) = 0
Express as a function
y(x) = a(x + 3) * (x + 3) * (x - 4) *(x - 2)
Substitute 1 for a
y(x) = (x + 3)²(x - 4)(x - 2)
Hence, the factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)
Read more about polynomials at:
brainly.com/question/4142886
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By the fundamental theorem of calculus,
Now the arc length over an arbitrary interval
is
But before we compute the integral, first we need to make sure the integrand exists over it.
is undefined if
, so we assume
and for convenience that
. Then
