Answer: For absolute value word problem, every number is positive and always look for key words that tell weather you add, subtract, divide, or multiply.
Step-by-step explanation:
If 3y's greatest possible value is 30, that means 3y can't be greater than 30. So it has to be less than or equal to 30.
Answer:
C
Step-by-step explanation:
Given
A = 
Substitute the given values with h = a, then
16.5 = 
( multiply both sides by 2 )
33 = a(a + 8) ← distribute
33 = a² + 8a ( subtract 33 from both sides )
0 = a² + 8a - 33 ← in standard form
0 = (a + 11)(a - 3) ← in factored form
Equate each factor to zero and solve for a
a + 11 = 0 ⇒ a = - 11
a - 3 = 0 ⇒ a = 3
However, a > 0 thus a = 3
Hence the height is 3 feet
Answer:
6
Step-by-step explanation:
14x+21+6=12x+39
14x+27=12x+39
14x-12x=39-27
2x=12
x=6
Answer:
33 inches per year
Step-by-step explanation:
In half a year, the sunflower grew 37 -20 1/2 = 16 1/2 inches. Your proportion is ...
(16 1/2 inches)/(1/2 year) = g/(1 year) . . . . . . . where g is the yearly growth
Multiplying by 1 year and simplifying, you can find g to be
g = (33/2 inches)/(1/2) = 33 inches
That is, the growth rate is 33 inches per year.
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<em>Comment on the solution technique</em>
I personally find a proportion to be unnecessary. When you want to find the rate of x per y, divide the amount of x you are given by the amount of y you are given.
Here, you are given a growth of 16 1/2 inches in 1/2 year, so you simply perform the division (16 1/2 inches)/(1/2 year) = 33 inches/year.
