Answer:
y = 3x² + 54x + 240
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 9, - 3), thus
y = a(x + 9)² - 3
To find a substitute either of the roots into the equation
Using (- 8, 0), then
0 = a(- 8 + 9)² - 3
0 = a - 3 ( add 3 to both sides )
a = 3
y = 3(x + 9)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² + 18x + 81) - 3
= 3x² + 54x + 243 - 3
= 3x² + 54x + 240 ← in standard form
Answer:
The maximum of y = sin x is 1. The amplitude of a sinusoidal function is one-half of the positive difference between the maximum and minimum values of a function.
Step-by-step explanation:
The ratio cans to price are 12/15.
Cross multiply: 12/15 * 7/x = 84/15x = x = 5.6
Answer:
32.5 and 30
Step-by-step explanation:
I counted the unit squares one by one.
Hope this helped! :)
The amount Tyshawn earn per hour is $13.5
<h3>Ratio and proportion</h3>
Fractions are written as a ratio of two integers
If after working 80 hours at his job, Tyshawn earned a total of $1080, then;
80 hrs = $1080
In order to calculate the amount earned per hour
Amount per hour = 1080/80
Amount per hour = $13.5
Hence the amount Tyshawn earn per hour is $13.5
Learn more on ratio here: brainly.com/question/25927869
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