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
F(x) = -4 means y = -4. That means whatever the x is, the answer is going to be -4.
Answer:
2 ( one significant figure)
Step-by-step explanation:
798/8 x 41 in order to express it in 1 significant figure
we will multiply the denominator and then divide both the numerator and denominator.
so,
798/328
798/328
2.453
now to one significant figure it will be 2
Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
