Answer:
Slope
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
<em>m</em> = slope
<em>b</em> = y-intercept
We are given y = 2x + 3:
We define our variables:
<em>m</em> = 2
<em>b</em> = 3
Therefore, our slope is 2 and our y-intercept is 3.
Answer:
3
Step-by-step explanation:
Answer:
f(4) = 24
Step-by-step explanation:
Plug in 4 for x in the equation:
f(x) = x² + 3x - 4
f(4) = (4)² + 3(4) - 4
Remember to follow PEMDAS. PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
and is the order of operation.
First, solve the power:
(4)² = 4 * 4 = 16
Next, multiply 3 with 4:
3 * 4 = 12
Next, combine the terms:
f(4) = 16 + 12 - 4
f(4) = (16 + 12) - 4
f(4) = 28 - 4
f(4) = 24
f(4) = 24 is your answer.
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To solve this, you need to isolate/get the variable "n" by itself in the equation:
132 = 3(5n + 4) First divide 3 on both sides
![\frac{132}{3}=\frac{3(5n+4)}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B132%7D%7B3%7D%3D%5Cfrac%7B3%285n%2B4%29%7D%7B3%7D)
44 = 5n + 4 Subtract 4 on both sides
44 - 4 = 5n + 4 - 4
40 = 5n Divide 5 on both sides to get "n" by itself
![\frac{40}{5} =\frac{5n}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B5%7D%20%3D%5Cfrac%7B5n%7D%7B5%7D)
8 = n
PROOF
132 = 3(5n + 4) Substitute/plug in 8 into "n" since n = 8
132 = 3(5(8)+4)
132 = 3(40 + 4)
132 = 3(44)
132 = 132