All categories

3 years ago

What are the zeroes of P(x) = x3 – 6x2 - x +62

Mathematics

1 answer:

Maurinko [17]3 years ago

4 0

Answer:

x = 6

x = -1

x = 1

Step-by-step explanation:

Given:

Correct equation;

P(x) = x³ - 6x² - x + 6

Computation:

x³ - 6x² - x + 6

x²(x-6)-1(x-6)

(x-6)(x²-1)

we know that;

a²-b² = (a+b)(a-b)

So,

(x-6)(x²-1)

(x-6)(x+1)(x-1)

So,

zeroes are;

x = 6

x = -1

x = 1

You might be interested in

21 points!!

Bogdan [553]

Answer:

See attached pictures.

Step-by-step explanation:

The sine and cosine functions have the forms: $f(x) = C+ A sinBx$ and $f(x) = C + A cosBx$ . A is the amplitude for each function. The period is found by dividing 2π the absolute value of B or $\frac{2\pi}{|B|}$ . C shifts the function up and down.

The sine function always starts and ends on the x-axis.

The cosine function always starts and ends at the y=A.

6.) The sine function starts at (0,0) then peaks at 5. Comes down to 0 and down to -5 before returning to 0.

The amplitude is 5.

The period is $\frac{2\pi}{|2|}=\pi$

7.) Here A=3 so the amplitude is 3, B is 1/2 so the period is 4π. Start at (3,0) and descend down to (2π, 0). Go back up to (4π, 3).

8.) Here A = 2 so the amplitude is A. B is 2π so the period is 1. C is 1 so the graph is shifted up a unit.

Start the graph at (0,1) and go up to (0.25,3) and down to (0.5,1) and continue downward to (0.75, -3) then back up to (1,1).

3 0

3 years ago

Naila worked 3.5 hours more than Lisa. Together, they worked a total of 18 hours. Lisa worked h hours.

densk [106]

Answer:

Lisa = 7 hours and 15 minutes

Naila = 10 hours and 45 minutes

Step-by-step explanation:

Naila = N

Lisa = L

Naila worked:

N = 3.5 + L

In total, they worked:

N + L = 18

Lisa worked:

L = h

Substitute values into the total equation

3.5 + L + L = 18

Solve

2L = 14.5

L = 7.25 = 7 hours and 15 minutes

N = 7.25 + 3.5 = 10.75 = 10 hours and 45 minutes

Hope this helps :)

7 0

3 years ago

The distance between two cities is 600 miles. On a map, they are 4 inches apart. What is the scale of the map?

RSB [31]

1 inch = 150 miles (150*4=600)

6 0

3 years ago

The number c increased by two is equal to fourteen

julia-pushkina [17]

Answer:

c = 12

Step-by-step explanation:

c = 14 - 2

6 0

3 years ago

What is f(0)? 12 only 2 and 3 only –2, –1, 1, and 2 only –2, –1, 1, 2 and 12

Lesechka [4]

Answer:

The expression f(0) represents the y-intercept on the graph of f(x). The y-intercept of a graph is the point where the graph crosses the y-axis.

Step-by-step explanation:

HOPE IT HELPS ❤

7 0

3 years ago

What are the zeroes of P(x) = x3 – 6x2 - x +62​

What are the zeroes of P(x) = x3 – 6x2 - x +62