Answer:
You multiply 5 by the exponents and 4^0 is just 1, so 4^45•1=4^45. Hope this helped!
Step-by-step explanation:
18 x
--- = ----
5 100
18×100 = 5×x
1800 = 5x
------- ----
5 5
360 = x
Hope this helps!!!
Answer:
h(x) = -16x² + 192x + 208
784ft
6 sec
13 sec
Step-by-step explanation:
a)
h(x) = -16x² +vx + h
here v represent velocity
represent initial height of launch
h(x) = -16x² + 192x + 208
b)
h(x) = -16x² + 192x + 208
here a = -16
b = 192
c = 208
x = -b/2a
= -192/2(-16)
= 6
plug this value in the equation
h(x) = -16(6)² + 192(6) + 208
= 784ft
e)
Plug h(x)=0 in the equation
0 = -16x² + 192x + 208
divide equation by -16
x² - 12x - 13 = 0
Factors
1x * -13x = -13
1x - 13x = -12
Factorised form
x² - 12x - 13 = 0
x² + x - 13x - 13 = 0
x(x+1) -13(x+1) = 0
(x+1)(x-13) = 0
x = -1
x = 13
Since time can not be negative so we will reject x = -1
Answer:
y = 2x-13
Step-by-step explanation:
The equation for a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
We know a point so we have a y and an x, so we can solve for b
-1 = 2(6) +b
-1 =12+b
Subtract 12 from each side
-1-12 = 12-12+b
-13 =b
Substitute this into y = 2x+b
y = 2x-13