So k=katie's' age
m=mara's age
k is 2 times as old as m
k=2m
sum is 24
add means sum
k+m=24
so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16
katie=16
mara=8
Answer:
$18.88 per hour.
Step-by-step explanation:
We first need to find 18% of $16.
16 * 0.18 = 2.88
The pay rate increases by $2.88.
$16 + $2.88 = $18.88
Hope this helps.
V= 15 steps are down below
Answer: h(x) = -1200x^2 + 1950x + 4950
=======================================
Work Shown:
f(x) = revenue from the north
f(x) = -750x^2 + 1500x + 2250
g(x) = revenue from the south
g(x) = -450x^2 + 450x + 2700
h(x) = total revenue, ie add the two revenues
h(x) = f(x) + g(x)
h(x) = (-750x^2+1500x+2250)+(-450x^2+450x+2700)
h(x) = -1200x^2 + 1950x + 4950
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does this very nicely.
__
The intercepts can be found by setting the other variable to zero and dividing by the coefficient of the variable of interest. This tells you the x-intercept is -2/3, and the y-intercept is -2/1 = -2. The y-intercept is conveniently on a grid point. To find other grid points on the line, it is convenient to choose integer values for x, then solve for y.
y = -3x -2
Positive values for y will require negative values of x.
