Full in the missing reason for each step of proof?

Answers

Answer 1

Answer: 5x + 3y + 2(x + y) = 5x + 3y + 2x + 2y . . . . . . . . (opening up the bracket)
= 5x + 2x + 3y + 2y . . . . . . . . (rearranging terms)
= 7x + 5y

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Evaluate 4x+2y-6z-x-3y+2z

Answers

3x-y-4z, just add/subtract the numbers with the same variable

Answer:

3x-y-4z

Step-by-step explanation:

A discount store has a special: 8 cans of juice for a dollar. A shopper decides that since the number of cans purchased is 8 times the number of dollars spent, the cost is the independent variable and the number of cans is the dependent variable. Do you agree? Explain

Answers

Nope. Number of cans is independent variable & the cost is dependent variable on it.

Let the number of cans = x
Then, y = 8x
where, y = 1 dollar,

Here, we can see, y (cost) is dependent on x (number of cans)

Hope this helps!

independent variable effects (or affects?) the value of the dependent variable
any change in the indepdent vairable forces a change on the depdent variable
it doesn't always go either way

number of cans=8 times dollars spent
the number of cans does effect the amount you have to pay
but the amount you have effects the number of cans you can buy
the amount you pay effects how many cans you can buy

normally, independent is input and depdendent is output
input x money, get y cans
not
input y cans, get x money
it could be argued that
input y cans, have to pay x money
but it is more of an ouput, more than a bill

so I do not agree

Nina wants to buy a bicycle that is $150 and she has saved 6% of the total cost. What percent of the total cost of the bicycle does Nina still have to save? Please explain how you found your answer.I did the first half of the work, Nina saved $9. how do I turn that into a percentage? thank you! steps would be helpful, as I am taking notes for future reference.

Answers

Well, I actually did the entire calculations until I figured out that its very simple, and I didn't need to!

If she has already saved 6%, then to find how much she still needs to save, we subtract 100% from 6%.

So Nina still has to save 94% of the total cost to get the bike.

If the point (2,4 is rotated 90 degrees clockwise what is the location of the new point

Answers

Answer:

Therefore the new coordinate of the point is (2,-4)

Step-by-step explanation:

A point (2,4) is rotated $90^\circ$ clockwise .

The point (2,4) lies on the first coordinate.If the point rotated $90^\circ$ clockwise direction It will be go fourth coordinate.

Therefore the new coordinate of the point is (2,-4)

The ratio of X and 2 is not greater than 14

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Well if it's not greater than, then it has to be less than or equal to...

x/2 <= 14
2 × x/2 <= 14 × 2
x <= 28

I can't seem to figure it out

Answers

the slope is 2 because remember, y= mx+b
m= slope
the slope is always multiplied by x

Your equation is in slope-intercept form which is represented by

y = mx + b

In the formula,
y = your y-axis coordinate
m = slope
x = x-axis coordinate
b = the y intercept (where the line crosses the y axis)

So with the equation

y = 2x - 3/2

The slope is 2

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