What binomial must be subtracted from 7t-5) so that the difference of the 2 polynomials is (5r+8)?

1 answer:

5 0

1) Given binomials:

First binomial 7r - 5
Second binomial 5r + 8

2) To pass from 7r to 5r you have to subtract 2r, so the first term of the binomial to be subtracted is 2r

3) To pass form - 5 to + 8, you have fo subtract - 13

4) So the answer is 2r - 13, option b.

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A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es

iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25$