Answer:
⇒ 1st answer
⇒ 4th answer
Step-by-step explanation:
Look to the attached file
Answer:
Part 1) 
Part 2) The total charge is 
Step-by-step explanation:
Part 1) Write an equation in slope-intercept form to represent the total cost, y, of a project that takes x hours
Let
x ----> the number of hours
y ----> the total cost
we know that
The equation of the in slope intercept form is

where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have that the charge of $45 an hour for a coding projects is equal to the slope m of the linear equation
so

The y-intercept is the value of y when the value of x is equal to zero
In this problem the y-intercept is the total cost when the number of hours is equal to zero (the y-intercept is the start-up fee of $150)
so

The linear equation is

Part 2) How much does the programmer charge for a coding project that takes 25 hours?
For x=25 hours
substitute in the linear equation and solve for y


Answer:
11/25
Step-by-step explanation:
it would be 33/75 but 11/25 is its simplified version
<h3>
Answer: C) 3</h3>
The rule we'll use is a^b*a^c = a^(b+c). So we add the exponents.
That means 5^n*5^3 = 5^(n+3)
So 5^n*5^3 = 5^6 turns into 5^(n+3) = 5^6
The bases are equal to 5, so the exponents be equal to one another.
n+3 = 6
n+3-3 = 6-3
n = 3
So 5^3*5^3 = 5^(3+3) = 5^6.