Step-by-step explanation:
We can observe from the table that the value of independent variable and then the values of function on that variable are given.
So,
<u>f(5) = 6</u>
As the value of function at x=5 is 6
<u>If f(x) = 4 then x = 7</u>
The value of function is 4 only on x=7 so the answer is x = 7
When the inverse is taken, the inputs become output and the outputs become inputs

The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6
Now,
Lastly

The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.
Answer:
option 4. The graph has zeroes at x = 15 an x = -15 and it opens upward.
Step-by-step explanation:
we have

This is the equation of a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (0,-225)
The axis of symmetry is x=0 (y-axis)
Find the x-intercepts (values of x when the value of y is equal to zero)
For y=0

square root both sides

therefore
The graph has zeroes at x = 15 an x = -15 and it opens upward.
Answer:
-8 stars
Step-by-step explanation:
if she gets 2 stars for scoring a goal and losses 2 for missing one then if she gets 8 goals = 16 stars and misses 12 goals = - 24 stars so 16-(-24) = -8 stars
Answer:
B. A cow of 5 years is predicted to produce 5.5 more gallons per week.
Step-by-step explanation:
Let
, where
is the age of the dairy cow, measured in years, and
is the predicted milk production, measured in gallons per week.
Besides, we consider
and
, such that
, we define the difference between predicted milk productions (
) below:
(1)
If we know that
and
, then the difference between predicted milk productions is:

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.
I think Great Falls' average wind speed is greater than Chicago's by 2.7 miles