An item with cost, c, is discounted by 30%.

Which expressions represent the final cost of the item?

Select all that apply. (more than one answer)

c(1−0.3)
c(0.3)
c(1+0.3)
1.03c
0.7c
0.3c

Which expressions represent an increase of 5% on the value x?

Select all that apply. (more than one answer)

1.5x
x(1−0.05)
x(1+0.5)
0.95x
x(1+0.05)
1.05x

The following equation represents a percent change on the value, x.

x+0.25x=1.25x

How can you describe this in words?
A decrease of 25% is the same as multiplying by 1.25.
An increase of 25% is the same as multiplying by 1.25.
A decrease of 25% is the same as multiplying by 0.25.
An increase of 25% is the same as multiplying by 0.25.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

ans789

step-by-step explanation: