Answer:
PR = 34.4
Step-by-step explanation:
x/54 = 7/11
11x = 378
x = 34.4
Answer:f(x)=−4(x2−6x+9−9)−29
(x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's the equation we got by completing the square.
y=a(x−h)2+k
That's the formula of a parabola in "vertex" form. Notice the similarity? The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, −4(x − 3)2 + 7; The maximum height of the water is 7 feet.hopes this helps
Answer:
One
Step-by-step explanation:
<em>Testing only one variable at a time lets you analyze the results of your experiment to see how much a single change affected the result. If you're testing two variables at a time, you won't be able to tell which variable was responsible for the result.</em>
<em>Hope this helps,</em>
<em>:)</em>
<em></em>
<em />
1 to the 24th power thats all i can think of sorry if that don't help
Answer:
$551
Step-by-step explanation:
Given the amount of profit, y, made by the company, is related to the selling price of each widget, x, by the equation y=-x^2+62x-410
The company make the maximum profit at when dy/dx = 0
dy/dx = -2x + 62
Since dy/dx = 0
0 = -2x + 62
2x = 62
x = 62/2
x = 31
substitute x = 31 into the expression y=-x^2+62x-410
y=-x^2+62x-410
y=-31^2+62(31)-410
y = -961+1922-410
y = 551
Hence the maximum profit the company can make is $551