Answer:
$64
Step-by-step explanation:
After using a 25% discount coupon, they paid 48 for the video game.
It means, <em>which number, decreased by 25%, would give us 48?</em>
<em />
First, 25% to decimal is:
25/100 = 0.25
Now, if we let the original price be "x", we can say:
x decreased by 0.25 of x would give us 48
Translating this to algebraic equation gives us:
x - 0.25x = 48
Now, we solve this:

If they paid full price, the video game would cost $64
Answer: y = 4x -1
Step-by-step explanation:
Given by the graph.
Y axis
and rise over run.
Answer: OPTION C.
Step-by-step explanation:
Given the following expression:

You can simplify this expression applying these steps:
First step: You must apply Distributive property:
Second step: You need to add the like terms.
Then, you get:
You can observe that this simplified expression matches with the expression provided in Option C.
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832