Answer:
<h3>after 2 secs</h3>
Step-by-step explanation:
The paths crossed at when the height are equal i.e when f(x) = g(x)
Given
f(x)=−x^2+2x+4
g(x) = 2x
IF f(x) = g(x), then;
−x^2+2x+4 = 2x
−x^2+2x+4 - 2x = 0
−x^2+4 = 0
-x^2 = -4
x^2 = 4
x = ±√4
x = 2 and -2
Time cannot be negative
Hence x = 2
The path crossed after 2 seconds
Answer:
Step-by-step explanation: x-4y=27
add 4 to 27
x=27+4y
x-y=9
add y to 9
x=9+y
hope it helps
D/t=r
d/r=t
tr=d
we will use
d/t=r
d=480
t=3
480/3=r=160
rate is 160 miles per hour
Answer:
C
Step-by-step explanation:
I'll use x, y, and z for the numbers
x + z = y
x + y = 6 + z
3x - 2y = z
Substitute (x + z) for y in the second equation.
x + (x + z) = 6 + z and solve
2x = 6
x = 3
Rearrange another equation and substitute (3) for x.
(3) + y = 6 + z solve for y
y = 3 + z
substitute y in another equation
3(3) - 2(3+z) = z solve
9 - 6 - 2z = z
3 = -z
z = 3
going back to the first equation:
x+z=y
3 + 3 = 6
Answers:
x=3
y=6
z=3
check all equations to make sure it works for all equations