Answer:
3(x - 12)(x + 2)
Step-by-step explanation:
Given
3x² - 30x - 72 ← factor out 3 from each term
= 3(x² - 10x - 24) ← factor the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2 , since
- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus
x² - 10x - 24 = (x - 12)(x + 2) and
3x² - 30x - 72 = 3(x - 12)(x + 2)
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Here's what you need to know in order to answer this:
1 gallon = 128 fl oz
and
1 day = 24 hours.
Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.
(11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)
= (11 x 24 x 1 / 128) (fl-oz - hr - gal) / (hr - da - fl-oz)
= 2.0625 gal/da
Answer:
2x(x - 4)
Step-by-step explanation:
The formula for the volume of a cone is V = πr²h
÷3
You are solving for the height, h.
V = 338 cm³ and r = 6 cm
338 = π(6)²h÷3
338 = π36h÷3
338 = π12h
28.16 = πh
8.965 = h
The height of the cone is around 9 cm.
