Answer:
(1-x2)× (2-3x)2
(1-x2) ×(8-36x+54x2-27x3)
8-36x+54x2-27x3-8x2+36x3-54x4+27x5
8-36x+46x2+9x3-54x4+27x5
Answer: 27x5-54x4+9x3+46x2-36x+8
Step-by-step explanation:
step 1- expand the expression
step 2- remove the parentheses
step 3- collect like terms
step 4- reorder the terms
Answer: C) 133
Step-by-step explanation:
The formula to find the sample size is given by :-

, where z* = Critical z-value
= Population standard deviation for prior study.
E= Margin of error.
As per given , we have
E= 5
The critical z-value for 90% confidence level is 1.645.
Substitute al;l the value sin the above formula , we get




Hence, the minimum sample size needed is 133.
Thus , the correct answer is : C) 133
Let's assume we were given 2 numbers: 15 and 30. Their sum is:

We want to express it as the product of GCF and another sum.
15 is divisible by: 1, 3, 5, 15
30 is divisible by: 1, 2, 3, 5, 6, 10, 15, 30
The greatest number that appears in 2 series is 15.


In this case sum of two numbers can always be written as:
Answers:
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Given:
Ava graphs the function
.
Victor graphs the function 
To find y intercept we plug in 0 for x

= 4
So ,Ava’s graph has a y-intercept of 4.
Ava graphs the function 
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function 
If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.
Answer:
Step-by-step explanation: