Answer:
C. (4,28)
Step-by-step explanation:
The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.
That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.
I hope this helped you and that I clearly elaborated on the answer choice.
Answer:
The reviewers can determine the experiment's feasibility.
Step-by-step explanation:
First of all this isn't math but the answer is between A & B, typically it is checked for mistakes that could lead to it being flawed. From this It is most likely A due to it being a paper and not an actual experiment, they would be looking for if it COULD happen, not if it WILL happen. They wouldn't add their own findings to someone elses paper, and it typically isn't for funding.
Answser: first option <span>350(0.95)^x + 30x - 350
Explanation:
You can figure out the </span><span>function that shows the difference in price between option 1 and option 2 if you make a table simulating the behavior for a few months:
month price as per option 1 price as per option 2
start 350 350
1 350 - 5% (350) = 350 - 30
= 350 (0,95)
2 350 (0,95)×(0,95) =
350 (0,95)² 350 - 30(2)
3 350 (0,95)³ 350 - 30(3)
So now you can figure out the price with each option after x months:
350 (0.95)ˣ 350 - 30x
And the difference is 350 (0.95)ˣ - [350 - 30x]
Which, expanding the square brackets, is 350 (0.95)ˣ + 30x - 350 ↔ the first option.
</span>
Answer:
a) 4x - 8y
b) 4 × x - 8 × y
c) 4x - 8y is the same as 4 × x - 8 × y because if there is no simbol then it is always multiplication
Step-by-step explanation:
a) start with the parentheses
1/3 (6x - 12y)
multiply 6x and -12y by (1/3)
2x - 4y
so now the equation is 5x -3x -4y + 2x -4y
add together the like terms
5x -3x + 2x = 4x
-4y -4y = -8y
so we have 4x - 8y
b) im not good with factored form but i believe this is right
take 4x and separate them by turning it into 4 × x and same for -8y turn it into -8 × y
c) 4x - 8y is the same as 4 × x - 8 × y because if there is no simbol then it is always multiplication
im not sure how to prove them equal to the original expression i dont really remember that but i hope this helped
