Answer:
t=3.2c
Step-by-step explanation:
Y = kx
80 = 16k
k = 80/16 = 5
direct variation
The first 2 choices are corect
Answer:
7 x 7 x 8 = 392
15 x 7 x 7(14 - 7) = 735
735 + 392 = 1,127 in^3 is your answer.
Let's split the figure:
Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
Answer:
Amy's yearly salary in 2011 was $27,800
Step-by-step explanation:
we have
where
x ---> is the number of years since 2007
y ---> Amy's yearly salary in dollars
To find out what was her salary in 2011, first determine the value of x
substitute the value of x in the equation above
therefore
Amy's yearly salary in 2011 was $27,800
