<span>y = 3x² + 18x
factor out the leading coefficient
y = 3(x²+6x)
Complete the square
coefficient of the x term: 6
divide it in half: 3
square it: 3²
use 3² to complete the square:
y = 3(x²+6x + 3²) - 3·3²
= 3(x+3)² - 3·3²
= 3(x+3)² - 27
vertex (-3, -27)</span>
Answer:
565cm³
Step-by-step explanation:
If Kelly eats the salsa until it is 6cm high, then she ate, in height, 11cm-6cm=5cm of salsa. The volume of the salsa she ate is in the shape of a cylinder, and the formula for calculating the volume of a cylinder is πr^2h. Since we have the values for r (radius) and h (height), we can solve for the volume.
V=πr^2h
V=π(6cm)^2(5cm)
V=180πcm³
This is equal to about 565cm³.
Answer:
$3.13/lb
Step-by-step explanation:
Divide 3/4 pound into $2.35:
$2.35
--------- = $3.13/lb
3/4 lb
Use the compound interest formula.
Let A = the ending amount
Let P = the principal
Let r = the interest rate
Let n = the amount compounded a year
Let t = time
A = P(1 + r/n) ^(n/t)
Substitute your numbers in
A = $7,000(1 + 0.06/4)^(4/7)
Solve for A
A = $7,059.81
Hi! ⋇
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All proportions have <u>this</u> <u>form</u>:
, Where 
is equal to 
.
If 
, it's <u>not</u> a proportion.
_________________________
Here we have two pairs of numbers:
40,10 and 32,8.
Written As a <u>proportion</u>, they <em>look like</em> :
Hope this made sense to you :)
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