First you need to find the common denominator. Think of a number that both 2 and 5 can go in to evenly. 10 is the best number, so, make both denominators 10. What you do to the bottom, you must do to the top.
Now your equation is 5/10-2/10
Your answer is 3/10
I'll solve B, and then challenge you to do A and C on your own!
If the line passes through (-3,4) and (5, -4), then the slope is the change in y over the change in x, which is (4-(-4))/(-3-5)=8/-8=-1 in this scenario, meaning that in the equation y=mx+b (with m as the slope), we have y=-x+b so far.Note that we only have to find b, as y and x can stay as variables. Plugging (-3,4) in for y and x (to find B), we get 4=-(-3)+b=3+b. Subtracting 3 from both sides, we get b=1 and the equation being y=-x+1
Answer:
The cost of buying the four DVDs is $96.
Step-by-step explanation:
Given that,
Price of DVD's = $24 each
The expression is
We need to calculate the cost of buying the four DVDs
Using given data
Price of one DVD= $24
So, 
Hence, The cost of buying the four DVDs is $96.
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
