F(x) = -52x + 4
g(x) = -12x - 4
To find the solution of the system of equation, we have to just equate the equation to each other.
f(x) = g(x)
-52x + 4 = -12x - 4
-52x + 12x = - 4 - 4
-40x = -8
x =

x = 0.2
Answer:
Reflection with respect to the x axis
Step-by-step explanation:
Reflection with respect to the x avis, or horizontal reflection.
Answer:
46,000,000 (46 million)
Step-by-step explanation:
If the number to the right (in this case the hundred thousands place) is 5 or greater then you round up.
If it was lower than 5 you would round down.
As the number in the hundred thousands place is 6, this means we can round up.
Answer:
at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
Step-by-step explanation:
Data provided in the question:
height in feet above ground of a seat on the wheel at time t seconds is
modeled as
h(t) = 
now,
at height 53 above the ground, we get the equation as:
53 = 
or
= 53 - 53
or
= 0
also,
sin(0) = 0
and,
sin(π) = 0
therefore,
= 0
or

or
t = 8 seconds
and,
= π
or
or
or
t = 24 seconds
Hence,
the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
Answer:
99% CI:

Step-by-step explanation:
We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.
First, we have to estimate the standard deviation

The MSE can be calculated as

The weighted sample size nh can be calculated as

The standard deviation then becomes

The z-value for a 99% confidence interval is z=2.58.
The difference between means is

Then the confidence interval can be constructed as
