Take the price of pears (£1.30 per kilogram) and multiply it by the amount of pears (7kg). You get 9.1 so now you take the total amount spent (£12.70) and subtract the 9.1 and you get 3.6 now that is the amount you spent on the apples. So take 3.6 and divide it by the amount of apples you got (2kg) you will get 1.8 and that is your overall answer.

5 0

4 years ago

One factor of f (x ) = 5 x cubed 5 x squared minus 170 x 280 is (x 7). what are all the roots of the function? use the remainder

olga2289 [7]

The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are 2, 4 and -7

<h3>How to determine the roots of the function?</h3>

The function is given as:

f(x) = 5x³ + 5x² - 170x + 280

Factor out 5 in the function

f(x) = 5(x³ + x² - 34x + 56)

One of the roots is x + 7.

So, we have:

f(x)/(x + 7) = 5(x³ + x² - 34x + 56)/(x + 7)

Factor the expression on the right-hand side

f(x)/(x + 7) = 5((x - 2)(x - 4)(x + 7))/(x + 7)

Cancel out the common factors

f(x) = 5((x - 2)(x - 4)(x + 7)

Set the function to 0

5((x - 2)(x - 4)(x + 7) = 0

Divide through by 5

(x - 2)(x - 4)(x + 7) = 0

Expand

x - 2 = 0 or x - 4 = 0 or x + 7 = 0

Solve for x

x = 2, or x = 4 or x = -7

Hence, the roots of the function f(x) are 2, 4 and -7