Answer:

Step-by-step explanation:
Step 1: Define
Difference Quotient: 
f(x) = -x² - 3x + 1
f(x + h) means that x = (x + h)
f(x) is just the normal function
Step 2: Find difference quotient
- <u>Substitute:</u>
![\frac{[-(x+h)^2-3(x+h)+1]-(-x^2-3x+1)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B-%28x%2Bh%29%5E2-3%28x%2Bh%29%2B1%5D-%28-x%5E2-3x%2B1%29%7D%7Bh%7D)
- <u>Expand and Distribute:</u>
![\frac{[-(x^2+2hx+h^2)-3x-3h+1]+x^2+3x-1}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B-%28x%5E2%2B2hx%2Bh%5E2%29-3x-3h%2B1%5D%2Bx%5E2%2B3x-1%7D%7Bh%7D)
- <u>Distribute:</u>

- <u>Combine like terms:</u>

- <u>Factor out </u><em><u>h</u></em><u>:</u>

- <u>Simplify:</u>

Answer:
1) x= 3/2= 1 1/2
2) x= 2/3
Step-by-step explanation:
1)How many times as heavy as Whiskers is Piglio?
a) Write a multiplication equation for the question.
2 2/3 kg * [x]= 4kg
b) Write a division equation for the question.
4/ 2 (2/3) = x
c) Is the answer greater than 1 or less than 1?
Ans) Greater than 1
d) Find the answer
4/ 8/3= x
x= 3/2= 1 1/2
Pigilo is 1 1/2 times as heavy as whiskers
2)How many times as heavy as Piglio is Whiskers?
a) Write a multiplication equation for the question.
4 kg * [x]= 2 2/3 kg
b) Write a division equation for the question.
2 (2/3)/4 = x
c) Is the answer greater than 1 or less than 1?
Ans) Less than 1
d) Find the answer
8/3/4= x
8/3 * 1/4= x
2/3= x
Whiskers is 2/3 times as heavy as Pigilo.
Answer:
So, we conclude that Mark is right.
Step-by-step explanation:
If we have the following expression: 15 - (37 + 8) : 3.
We will first divide the value we get in parentheses and then subtract it.
Because sharing is an older mathematical operation than subtraction. Therefore, we get:

So, we conclude that Mark is right.
Let
cos x=7/18
x=arc cos (7/18)-----> using a calculator-------> x=67.11°-----> x=1.17 radians
the answer is
x=67.11° or x=1.17 radians