Answer:
y = 4x+6
The input is 11 when the output is 50
Step-by-step explanation:
We need to find the slope of this function using 2 points
(3,18) and (0,6) are two points
m = (y2-y1)/(x2-x1) is the formula for slope
=(6-18)/(0-3)
-12/-3
=4
The slope is 4
We know the y intercept. It is the value when x =0. The y intercept is 6
We can use the slope intercept form of the equation
y = mx+b, where m is the slope and b is the y intercept.
y = 4x+6
We want to know the input when the output is 50 (or y=50)
50 = 4x+6
Subtract 6 from each side
50-6 = 4x+6-6
44 = 4x
Divide by 4
44/4 = 4x/4
11=x
The input is 11
Answer:
-3p-40
Step-by-step explanation:
-(7p+6)-2(-1-2p)
-7p-42+2+4p
-3p-40
Answer:
sorry I don't know
Step-by-step explanation:
Step-by-step explanation:
LHS= sin 3x/sin x - cos 3x/cosx
Taking LCM,
<u>=</u><u>sin3xcosx- cos3xsinx</u>
sinxcosx
<u>=</u><u>sin(3x-x)</u>
sinxcosx
= <u>2sin2x</u>
2sinxcosx
=<u> </u><u>2sin2x</u><u> </u>
sin2x
=2
= RHS.
Proved.
it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.
Let h(t) represent the height of the ball at time t.
Given that the height is given by:
h(t) = -16t² + 80t + 40
1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:
40 = -16t² + 80t + 40
16t² - 80t = 0
t(t - 5) = 0
t = 0 or t = 5
Hence it takes 5 seconds to reach a height of 40 ft.
2) The maximum height is at h'(t) = 0,
h'(t) = -32t + 80
-32t + 80 = 0
32t = 80
t = 2.5
It takes 2.5 seconds to reach maximum height.
Find out more at: brainly.com/question/11535666
