7c + 12 = -4c + 78
+4c. +4c
11c + 12 = 78
-12. -12
11c = 66
11/11. 66/11
C = 6
Plug in the answer to check .
7 * 6 + 12 = 54
-4 * 6 + 78 = 54
54 = 54
The answer is C, moderate negative association
Answer:
Hannah is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $2 per mile driven. Company B charges an initial fee of $100 for the rental plus $1 per mile driven. Let AA represent the amount Company A would charge if Hannah drives xx miles, and let BB represent the amount Company B would charge if Hannah drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Hi there! I can help you! Okay, so to find the answer for these types of questions, we have to divide the total cost on gas by the number of gallons filled in the tank. With that being said, if you do this correctly, here are your answers.
Genevieve: $3.68
Unnamed Person: $3.64
When you compare the prices, you see that 3.64 < 3.68. With this being the case, the unnamed person spent less per gallon of gas.
To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, that satisfy two conditions:
ac=jk and b=j+k in this case:
ac=jk=-18 and b=j+k=7 so j and k must be 9 and -2
Now replace bx with jx and kx in the original equation...
x^2-2x+9x-18 and factor the 1st and 2nd pair of terms...
x(x-2)+9(x-2) which is equal to
(x+9)(x-2)
