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3 years ago

Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2

Mathematics

1 answer:

ser-zykov [4K]3 years ago

4 0

Answer:

f(x) = x^3 - 2x^2 - x + 2

Step-by-step explanation:

since the zeroes are 1,-1, and 2. we can write the function like

f(x) = (x-1)(x+1)(x-2)

f(x) = (x^2-1)(x-2)

f(x) = x^3 -2x^2 -x +2

and it is true that f(0)=2

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How long will it take Greg to earn $500.00 round to the nearest hour

Mrrafil [7]

Answer:

56 hours

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the number of hours

y ----> the amount earned in dollars

This problem represent a proportional relationship between the variable x and the variable y

Find the value of the constant of proportionality k

$k=y/x$

For (3,27) ----> $k=27/3=9\ \$/h$

For (9,81) ----> $k=81/9=9\ \$/h$

For (21,189) ----> $k=189/21=9\ \$/h$

The constant of proportionality k is 9

The linear equation is

$y=9x$

For y=$500

substitute in the equation and solve for x

$500=9x$

Divide by 9 both sides

$x=56\ hours$

5 0

2 years ago

Que costaría más comprar una vaca o comprar hamburguesas de 1€ hasta igualar a una vaca.

butalik [34]

Answer:

haha pues cuesta mas las hamburgesas porque toca ir al doctor despues

Step-by-step explanation:

8 0

2 years ago

4.82 <br> write as a fraction or mixed number in simplest form

Dima020 [189]

I'm pretty sure 4.82 as a simplified fraction is 241/50.

6 0

2 years ago

Becca's family has 4 gallons of milk. They drink 5/8 gallon per day. How long will their milk last? A. 2 1/2 days B. 4 days C. 4

scZoUnD [109]

D because is just did the math and that's what I got

7 0

3 years ago

The distance between the points (1,2) and (x,-1) is 5 units. Find the possible values of x

Mariulka [41]

Answer:

-3,5

Step-by-step explanation:

$d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} }$

$5 = \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2} }$

$5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} }$

$25 = (x - 1) {}^{2} + 9$

$16 = (x - 1) {}^{2}$

$4 = x - 1$

$x = 5$

$- 4 = x - 1$

$x = - 3$

7 0

2 years ago