Answer:
between 0 and 60
Step-by-step explanation:
Because the points on the scatter plot range on the X-axis from 0 to 60
Hope this Helps!!
when it comes to checking if a function is even or odd, it boils down to changing the argument, namely x = -x, and if the <u>resulting function is the same as the original</u>, then is even, if the <u>resulting function is the same as the original but negative</u>, is odd, if neither, well then neither :).
anyway, that said, let's first expand it and then plug in -x,
![\bf f(x)=(x^2-8)^2\implies f(x)=(x^2-8)(x^2-8)\implies f(x)=\stackrel{FOIL}{x^4-16x^2+64}\\\\[-0.35em]~\dotfill\\\\f(-x)=(-x)^4-16(-x)^2+64\qquad \begin{cases}(-x)(-x)(-x)(-x)=x^4\\(-x)(-x)=x^2\end{cases}\\\\\\f(-x)=x^4-16x^2+64\impliedby \stackrel{\textit{same as the original}}{Even}](https://tex.z-dn.net/?f=%20%5Cbf%20f%28x%29%3D%28x%5E2-8%29%5E2%5Cimplies%20f%28x%29%3D%28x%5E2-8%29%28x%5E2-8%29%5Cimplies%20f%28x%29%3D%5Cstackrel%7BFOIL%7D%7Bx%5E4-16x%5E2%2B64%7D%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5Cf%28-x%29%3D%28-x%29%5E4-16%28-x%29%5E2%2B64%5Cqquad%20%5Cbegin%7Bcases%7D%28-x%29%28-x%29%28-x%29%28-x%29%3Dx%5E4%5C%5C%28-x%29%28-x%29%3Dx%5E2%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5Cf%28-x%29%3Dx%5E4-16x%5E2%2B64%5Cimpliedby%20%5Cstackrel%7B%5Ctextit%7Bsame%20as%20the%20original%7D%7D%7BEven%7D%20)
Answer:
x = 9
y = 6
Step-by-step explanation:
- Divide 15 by 2: 15 ÷ 2 = 7.5
- Subtract 0.5 from 7.5 (this will later be added back): 7.5 - 0.5 = 7
- Subtract 1 from 7 (she wants to buy at least 2 more children books): 7 - 1 = 6
- Subtract 6 from 15 (6 being the number of puzzle books, 15 being the total number of items): 15 - 6 = 9 (number of children books)
Answer:
Common ratio = 3/4
Step-by-step explanation:
The nth term of a geometric progression is given by
an = a1 . rn - 1
Where;
an = the nth term
a1 = the first term
r = common ratio
n = the number of terms in the series
Common ratio, r = the ratio of the second term to the first term
= a2 : a1
Given from the series,
a2 = 48
a1 = 64
Common ratio, r = 48 : 64
= 48/64 = 3/4
Answer:
3:12, 5:50, 7:14, 11:22
Step-by-step explanation:
All these numbers are multiples of each other. They are also divisible by each other. 12 is divisible by 3, 50 is divisible by 5, 14 is divisible by 7, and 22 is divisible by 11.
Hope this helps.
