Answer:
<u>D) (f o g)(x) = 10x² - 60x + 93</u>
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>
Answer:
Option D) $275
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $235
Standard Deviation, σ = $20
We are given that the distribution of amount of money spent by students is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.975
Calculation the value from standard normal z table, we have,

Approximately 97.5% of the students spent below $275 on textbook.
Answer:


Step-by-step explanation:
Let
w ----> the amount of weight lost in pounds
we know that
The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week
so
The linear equation that represent this situation is

solve for w
subtract 2,312 both sides

Answer:
13.8
Step-by-step explanation:
This equation has one solution which is -1.5
3x+7=-3x-2
+2. +2
3x+9=-3x
-3x. -3x
9= -6x
/-6. /-6
X= -1.5