EXPLANATION
Given the expression 2y(x-y) +12=5x , plugging in x=3 into the expression,
2y(3-y) + 12 = 5*3
6y -2y^2 + 12 = 15
Rearranging terms:
Now, we need to apply the quadratic equation:
Multiplying terms:
Subtracting numbers:
Simplifying:
Answer:
LIKE DIS. It goes in a curve form. It goes slow and steady in the beginning and then it starts to rapidly increase.
Step-by-step explanation:
First move the 13 to the left by subtracting 13 from both sides and setting the 'now expression' equal to zero
p² - 12p - 13
Do the opposite of FOIL (for you are trying to find the numbers being FOILed)
p² - 12p - 13
Find the multiplies of the outside numbers/variables, that, when added (or subtracted, will give you the inside expression
p² - 12p - 13
p -13
p 1
(p - 13)(p + 1)
Set these two expressions equal to zero
p - 13 = 0
p - 13 (+13) = 0 (+13)
p = 13
p + 1 = 0
p + 1 (-1) = 0 (-1)
p = -1
Your answers: p = -1, 13
hope this helps
Answer:
m<2 = 120
Step-by-step explanation:
When two lines are parallel and are intersected by a transversal, same side exterior angles are supplementary, meaning that their angle measures add up to 180 degrees.
Using this, one can form the equation;
m<8 + m<2 = 180
Substitute,
60 + m<2 = 180
Inverse operations,
60 + m<2 = 180
-60 -60
m<2 = 120
Answer: C(t) = 0.4t + 4
Step-by-step explanation:
Let t represent the total number of minutes of using a computer at the internet cafe.
The cafe charges an initial fee to use the computer and then an additional price per minute of usage. The initial charge to use the computers is $4 and the total charge would be $6 for 5 minutes of use. This is expressed as
5t + 4 = 6
5t = 6 - 4 = 2
t = 2/5 = 0.4
It means that the charge per minute would be $0.4
Therefore, the equation for the function C(t), representing the total cost of using a computer for t minutes at the internet cafe is
C(t) = 0.4t + 4