Step-by-step explanation:
1) Collect like terms.
2) Simplify.
So, therefor, the answer is -17y - 16z + 4.
Answer:
Step-by-step explanation:
(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]
To remove the parenthesis, take - inside, multiply f(x) by -1
= 9x³ - 4x² + 10x - 55 - 4x³ - 3x² + 5x - 20
Now, bring like terms together,
= 9x³ - 4x³ - 4x² - 3x² + 10x + 5x - 55 - 20
= 5x³ - 7x² + 15x - 75
The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, a sample size larger than 30 can be approximated to a normal distribution with mean and standard deviation 
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Answer:
x = 12
Step-by-step explanation:
Angle QPR + Angle PQR = Angle HRQ
