Answer: 
Concept:
In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.
Solve:
<u>Given information</u>
<u>Need to find</u>
<u>Substitute (x + 4) to the position of x</u>
<u>Distributive property on the numerator</u>
<u>Combine like terms</u>
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The slope of the line is 1.
The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.
Answer:
Step-by-step explanation:
Factor the expression by first finding a GCF. Each term has the y variable and this can be pulled out as the GCF.
To further factor the expression break the polynomial into two binomials.
To factor into two binomials, find factors that multiply to -5 and add to -4.
-5 and 1 are factors and these make the binomials 
.
The final factorization is
A=1/3h(b1-b2). So h=3/(b1-b2)
Answer:
$25
Step-by-step explanation:
500 mins = $35 (fixed + per minute charge)
1500 mins = $55 (fixed + per minute charge)
If we let per minute charge be "m"
and
let fixed charge be "f"
we can write 2 equations as:
35 = 500m + f
and
55 = 1500m + f
Now,
We re-write both equations in terms of f and equate both expressions:
f = 35 - 500m
and
f = 55 - 1500m
Equating:
35 - 500m = 55 - 1500m
-500m + 1500m = 55 - 35
1000m = 20
m = 20/1000
m = 0.02
Now we find f, what we are looking for:
f = 35 - 500m
f = 35 - 500(0.02)
f = 25
So, the fixed charge is $25
