Answer:
<u>The cube root parent function:</u>
- f(x) =
![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
<u>Horizontally stretched by a factor of 4:</u>
- g(x) → f(1/4x) =
![\sqrt[3]{1/4x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%2F4x%7D)
<u>Translated 5 units right:</u>
- h(x) → g(x - 5) =
![\sqrt[3]{1/4x - 5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%2F4x%20-%205%7D)
<u>Translated 3 units up:</u>
- k(x) → h(x) + 3 =
![\sqrt[3]{1/4x - 5} + 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%2F4x%20-%205%7D%20%2B%203)
It will take Seth 13 hours to read the novel.
This is true because:
You need to divide 585 by 45, and you get the answer, 13.
Answer:
150
Step-by-step explanation:
Since the value of the bond increases by 4% each year and only 1 year passed by then the ROI is not compounded and we only need to find the value before the 4% was implemented. In order to add 4% to a value we would multiply that value by 1.04 which increases that value by 4%. So, to find the value before the interest was added we would need to divide the new value by 1.04 instead.
$156 / 1.04 = $150
Finally, we can see that the value of the bond when Tyler's mom purchased it was 150
First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.
Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1
Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
Answer:
30
Step-by-step explanation:
a^2 + b^2 = c^2
(8sqrt(3))^2 + b^2 = 16^2
64 * 3 + b^2 = 256
192 + b^2 = 256
b^2 = 64
b = 8
The ratio of the lengths of the sides of this triangle is
8 : 8sqrt(3) : 16
which reduces to
1 : sqrt(3) : 2
This is the ratio of the lengths of the sides of a 30-60-90 triangle.
m<W = 30 deg
