Answer:
Step-by-step explanation:
Multiplication
Ratio of Tables to garbage = 8:3
Small camp ground:
40 picnic tables and let x be the number of garbage cans

x = 15
Small campground with 40 picnic table needs 15 garbage cans
Large picnic ground:
120 picnic tables and let y be the number of garbage cans

y= 45
Big campground with 120 picnic table needs 45 garbage cans
ANSWER
The radius is 25 inches
EXPLANATION
From the diagram, the radius of the circle is AC.
From the Pythagoras Theorem,


Simplify

Take positive square root,


Hence the radius is 25 inches
Keywords
linear equation, variables
Step 1
Define the variables
Let
x-----> number of erasers
y-----> total cost
we know that
------> this is the linear equation that represent the situation
therefore
the answer is y = 0.84 + (0.38)x
Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2
<em>g(x)</em> = <em>x</em>² - <em>x</em> - 6
so
<em>g</em> (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14
When <em>g(x)</em> = 6, we have
6 = <em>x</em>² - <em>x</em> - 6
<em>x</em>² - <em>x</em> - 12 = 0
Solve for <em>x</em>. We factorize this easily as
(<em>x</em> - 4) (<em>x</em> + 3) = 0
which gives
<em>x</em> - 4 = 0 <u>or</u> <em>x</em> + 3 = 0
<em>x</em> = 4 <u>or</u> <em>x</em> = -3