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:
about 2 minutes
Step-by-step explanation:
first lets make everything in the same term
so 2.5 =2 1/2
then divide 5 5/16 by 2 1/2
or 85/16 divided by 5/2
you get 2 1/8
so you have about 2 minutes before the timer runs out
Well I’m not sure if I know how explain this mathematically but what I think happens is Josè is putting 150 dollars in and earning 3% interest quarterly instead of by the year, meaning his money is increasing more often then Janell, who only gets interest every year. I’m sorry if this isn’t what you were looking for
Answer:
F(x-h) = x² + 2xh +h² +2
Step-by-step explanation:
F(x) = x² + 2, x∈R
F(x + h) = (x + h )² + 2 = x² + 2xh + h² + 2
