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balu736 [363]
3 years ago
11

The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0

ANSWER 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.

The answer is B

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Answer:

(See step-by-step)

Step-by-step explanation:

Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.

The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.  

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3 0
2 years ago
1.Which is an equivalent form of the equation 3x-3y=15?
defon

1) The given equation is 3x-3y=15

To solve for y we subtract 3x both sides:

3x-3x-3y=-3x+15

-3y=-3x+15

With y term -3 is multiplied .We perform the opposite operation both sides that is divide by -3 both sides we have:

y=x-5

Option A :y=x-5 is the right answer.

2) |2x-1|=3

We can remove the absolute sign by forming equations  taking both the positive and negative signs:

2x-1=3   or                            2x-1=-3

Solving the two equations for x:

2x=3+1            or               2x=-3+1

2x=4 ,x=2.                        2x=-2 , x=-1 .

Option a)x=2 or x=-1 is the right answer.

3)  2< 3x-1 ≤ 5

Adding 1 to all the sides we have:

3<3x≤ 6

Dividing by 3 :

1<x≤ 2.



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