The perimeter of a rectangle is expressed as:
P = perimeter
l = length
w = width
P = 2(l + w)
Plug in our values to the formula mentioned above
32 m = 2(l + 5).
Start by dividing each side by 2.
16 = l + 5.
Subtract 5 from each side.
11 = l.
The length of your town is 11 miles
Answer:
<em>f(g(x)) = 8x² + 18x - 8 </em>
Step-by-step explanation:
f(x) = 2x² - 5x - 15
g(x) = - 2x - 1
f(g(x)) = y
y = 2( - 2x - 1 )² - 5( - 2x - 1 ) - 15 =
2(4x² + 4x + 1) + 10x + 5 - 15 =
8x² + 8x + 2 + 10x + 5 - 15 =
<em>f(g(x)) = 8x² + 18x - 8</em>
Answer:
4
Step-by-step explanation:
Answer:
100 brochures
Step-by-step explanation:
<u><em>The complete question is</em></u>
The organizers of a walkathon get cost estimates from two printing companies to print brochures to advertise the event. The costs are given by the equations below, where C is the cost in dollars and n is the number of brochures.
Company A: C=15+0.10n
Company B: C=0.25n.
For what number of brochures are the cost the same for both company’s
Let
n ---> the number of brochures.
C ---> the cost in dollars
we have
<em>Company A</em>
----> equation A
This is the equation of a line in slope intercept form
where
The slope or unit rate is

The y-intercept or initial value is

<em>Company B</em>
----> equation B
This is a proportional relationship
where
The constant of proportionality or slope is

To find out for what number of brochures are the costs the same for both companies, equate equation A and equation B
Solve by substitution method

solve for n
