Answer:
Theresa's height is 60 inches
Step-by-step explanation:
The given parameters are;
The height of Paul = The height of Steve
Paul's height =
times Theresa's height - 16 inches
Steve's height =
times Theresa's height - 6 inches
Let 'T' represents Theresa's height, we have;
Paul's height =
×T - 16
Steve's height =
×T - 6
Paul's height = Steve's height
Therefore;
×T - 16 =
×T - 6
×T -
×T = 10
×T -
×T = 10
×T = 10
T = 10 × 6 = 60
Theresa's height, T = 60 inches
Answer:
Step-by-step explanation:
A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,
For finding the x intercept , <u>equate the given function with 0, we have ;</u>
Equate each factor with 0 ,
Divide both sides by 2 ,
Again ,
Taking squareroot on both sides,
Add 5 to both sides,
Similarly ,
<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>
{ See attachment also for graph } .
Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)