Answer:
A person jumping on a trampoline
Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively
.
Answer:
1/3 pound per person
Step-by-step explanation:
(All) (People) (Amount per person)
1.32 / 4 = .33
.33 = 1/3
Answer:
x = 9
Step-by-step explanation:
You can solve this problem by isolating the variable.
3-√x = 0
√x = 3 (add √x to both sides of the equation)
x = 9 (square both sides of the equation)
Answer:
40
Step-by-step explanation:
Using the method of prime factors
8 = 2 × 2 × 2 = 2³
2 = 2
5 = 5
Then LCM = 2³ × 5 = 8 × 5 = 40