Y = kx is the direct variation formula. They are giving y = 48n AFTER they have plugged in a value for x. The value plugged in for x is 16n. To find 'k' we must divide 48n by 16n.
48n/16n = 3 So k = 3.
The equation is therefore y = 3x
Answer:
x=1
Step-by-step explanation:
To get the 7 away, we need to multiply it into the parentheses.
7*-10= -70
7*3=21
-70+21x= -49
Now we combine like terms and we move 70 over. Because we're moving it to the other side of the equation, it becomes positive.
21x= -49+70
-49+70 is the same as 70-49
70-49= 21
Now we put it together.
21x=21
To get the x by itself, we need to divide 21 on both sides.
21x/21= 21/21
21/21=1
x=1
The answer is:
B) The solution is (4, 200). This means that it will cost me $200 to go to either gym 4 times.
the equations given to you were:
(C = 100 + 25x) and (C = 50x)
well, if you plug in 200 for C and 4 for x you get these equations,
200 = 100 + 25(4), and 200 = 50(x)
I solved both step-by-step below.
1. C = 100 + 25x plug in points
200 = 100 + 25(4) solve the parenthesis's
200 = 100 + 100 combine like terms
200 = 200 both sides are equal
2. C = 50x plug in points
200 = 50(4) solve the parenthesis's
200 = 200 both sides are equal
The complete question is
In a cartoon, wile E. coyote was chasing the road runner. seeing no easy escape, road runner jumped off a cliff towering above the roaring river below. using her mathematical knowledge, monica modeled the fall as following quadratic function: h(t)=–16t²+32t+48
a. What is the maximum height the Road Runner reaches and when will it occur?
b. When would the Road Runner splash into the river?
c. At what height was the Road Runner when he jumped off the cliff?
using a graph tool
see the attached figure
the equation is a vertical parabola open down
the vertex is the point (1,64)-----> is a maximum
the answer part a) is the maximum height the Road Runner reaches is 64 and occur for t=1Part b) When would the Road Runner splash into the river?
Find the x-intercept
the Road Runner splash into the river at the point (3,0)
that means
for t=3
h(t)=0
the answer part b) ist=3Part c) At what height was the Road Runner when he jumped off the cliff?
Find the y-intercept
the y-intercept is the point (0,48)
that means
for t=0
h(t)=48
the answer part c) is 48