Let one side of the square be x
all sides of the square are equal
A=x•x(area formula of a square)
240.25 = x^2
so then the lengths of the sides of the square is 15.5 in
First figure out how much it costs to rent seven movies a month. f(7)=2(7) + 12–> 14 + 12–> $26 Now we need to find the difference between 26 and 10. 26 - 10= 16. So Casey needs $16 more to rent 7 movies a month
Step-by-step explanation:
I assume you meant :
the restaurant has 20 1/2 pounds of bananas.
one smoothie uses 1/8 pound of bananas.
how many smoothies can be made with the amount of available bananas ?
the answer is as many as the times 1/8 fit into 20 1/2.
so, we actually calculate
(20 1/2) / (1/8)
first we will convert the mixed number into a true fraction :
20 1/2 = 40/2 + 1/2 = 41/2
so we have
41/2 / 1/8
and then, when dividing fractions we have 2 choices (they do both the same, of course, but start looking differently) :
a/b / c/d = a×d / b×c
a/b / c/d = a/b × d/c = a×d / b×c
so,
41/2 / 1/8 = 41×8 / 2×1 = 41×4 = 164
they can make 164 smoothies.
To do this, complete the square:
p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21
Rewrite the first 2 terms as
6(x^2 + 4x)
then you have </span><span>p(x) = 6(x2 + 4x ) + 21
Now complete the square of x^2 + 4x:
p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21
p(x) = 6(x+2)^2 - 3 this is in vertex form now.
We can read off the coordinates of the vertex from this: (-2, -3)</span>
Answer:
x=0
This can be solved by reasoning.
And confirmed by substituting 0 into the expression.