Answer:
7y² - y + 21
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
4y - y(3 - 7y) + 5 + 2(8 - y)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute parenthesis: 4y - 3y + 7y² + 5 + 16 - 2y
- Combine like terms (y): 7y² - y + 5 + 16
- Combine like terms: 7y² - y + 21
Answer:
-1 all the way to 5
Step-by-step explanation:
k/2 is always greater than -2
So when x = -1, you just substitute the variable x to -1.
"4x" means 4 times x, so when x is replaced to -1, that would be 4 times -1.
f(-1) = 4(-1) = -4
So the value of function at x = -1 would be -4.
Hope this helps.
Answer:
Work out after explanation.
Step-by-step explanation:
Split into a trapezium and triangle so you know the height for the triangle. Then find out the area of the trapezium and triangle using their formula. Then add them together. That should be your answer.
We are given area of the spherical lampshade = 57.76 \pi square inches.
We know formula of area of a spherical shape:

Plugging area A= 57.76 π in formula, we get

Dividing both sides by 4π, we get


Taking square root on both sides, we get

r =3.8.
<h3>Therefore, the radius of the lampshade is 3.8 inches.</h3>