H(r)=−(r+9) 2 +36h, left parenthesis, r, right parenthesis, equals, minus, left parenthesis, r, plus, 9, right parenthesis, squa
Bond [772]
Answer:
Roots: -15, -9
Vertex: (-9, 36)
Step-by-step explanation:
is the equation of a parabola in "vertex form." This form has the answer to the vertex question almost right in front of us. You may have seen something like this pattern
as the general vertex form of a parabola's equation. So in your problem, there's some role playing going on. The role of <em>h</em> is being played by -9, the role of <em>k</em> is being played by 36. (And <em>x</em> is being played by <em>r</em>.)
The vertex is the point (<em>h</em>, <em>k</em>) = (-9, 36) in your problem. By the way, the vertex occurs where the quantity (<em>r</em> + 9) is equal to 0, so that's pretty simple to find; it's -9. If <em>r</em> is replaced with -9, the value of the function is 0 + 36 = 36, so 36 is the second coordinate of the vertex.
Now for the zeros. "Zeros" means to find the values of <em>r</em> that make the function's value equal to 0.
There are two possibilities:
or
The zeros are -15 and -3 (the smaller one is -15).
They bought 5 trophies total
1st trophy cost $37.50
($18.50+$12.50+$4+$2.50=$37.50)
Each additional trophy cost $15
($12.50+$2.50=$15)
They spent $97.50 total
$97.50-$37.50=$60
Additional trophies $15
$15*X=$60
4 trophies=$60+$37.50 for 1st trophy
$60+$37.50=$97.50
20,592 INCHES. First you have to take your 13 feet and times by 12 inches in a foot,, then take that total which is 156 inches times 132 inches to equal Area.
Answer:
.88
Step-by-step explanation:
The standard deviation is the square root of the variance.
A credit card company charges 24.99% annually for its interest rate
Total balance = 2450
we have to find the interest which would be charged in dollars
So to find the interest which would be charged in dollars we have to multiply total balance by the interest rate which is 24.99 and then divide it by hundred
so our interest comes = 2450*24.99/100 which comes out to be 612.255
