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3 years ago

A new suit costs $678.90 but it is on sale for 40% off. Find the discount and the new price.

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

3 0

Answer:

$407.34

Step-by-step explanation:

1. Find the discount. This can be done by multiplying the original cost by the discount percentage.

678.90 x 40% = $271.56

2. Subtract the amount of the discount from the original price.

$678.90-$271.56 = $407.34

The new price is $407.34

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Step-by-step explanation:

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Which pairs of points would result in a line with a rate of change of 2:1? Select all that apply.

Helen [10]

Answer:

Options A, C, D are true.

Step-by-step explanation:

We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.

A. The points are (-4,-11) and (-2,-7).

Then the slope of the joining line is $\frac{-7-(-11)}{-2-(-4)} =2$

B. The points are (5,6) and (-5,12).

Then the slope of the joining line is $\frac{12-6}{-5-5} =-\frac{3}{5}$

C. The points are (0,-3) and (-4,-11).

Then the slope of the joining line is $\frac{-11-(-3)}{-4-0} =2$

D. The points are (0,-3) and (5,7).

Then the slope of the joining line is $\frac{7-(-3)}{5-0} =2$

Therefore, options A, C, D are true. (Answer)

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3 years ago

A loan of 900 will be repaid in 36 installments of 30.22what is the finance charge of the loan

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3 years ago

Why does the fraction 20/25 not belong with 1/20, 2/3 and 5/4?

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3 years ago

1. Given f(x)=2x 2 +1 and g(x)=3x-5 find the following

LenKa [72]

The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.

Here the two functions are given, f(x) and g(x).

f(x) = 2x² + 1

g(x) = 3x - 5

We have to find f-g and f(g(2)).

1) f- g

f(x) - g(x)

(2x² + 1) - ( 3x - 5)

2x² + 1 - 3x + 5

2x² - 3x + 6

2) f(g(2))

f(g(x)) = 2(3x-5)² + 1

= 2( 9x² - 30x + 25) + 1

= 18x² - 60x + 50 + 1

= 18x² - 60x + 51

f(g(2)) = 18(2)² - 60(2) + 51

=18× 4 - 120 + 51

= 72 - 120 + 51

= 123 - 120

= 3

Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.

To know more about the function refer to the link given below:

brainly.com/question/11624077

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