Answer: B
Step-by-step explanation: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:
24x2+25x−47=(−8x−3)(ax−2)−53
You should then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce on the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.
The final answer is B.
Given that <span>Gary's unpaid credit card balance is $2543.32. His APR is 17.4% and he made one new transaction for $320. so his new balance can be solved by just adding the unpaid credit card balance and the new transaction he made.
new balance = </span><span> $ 2543.32 + $ 320
new balance = $ 2863.32</span>
Answer: -9 units
Step-by-step explanation:
-9 x 4 = -36
so therefore -36 divided by 4 = -9
Hi there! The answer is -4

Subtract 5 from both sides.


Divide by 4

Therefore, the largest integer value of x which makes the inequality true is -4. Not -3, because when filling in -3, the value isn't smaller than -3 anymore.
(Filling in x = -3 gives 17 > 17, which is incorrect).