Find the domain of the graphed function apex

The expression in question is:

f(x) = x³ – 2x² – x + 2

To determine the roots, follow these steps:

1. Set the equation to zero:

0 = x³ – 2x² – x + 2

2. Factor the equation to get:

(x-2)(x-1)(x+1) = 0

3. The roots can be identified as follows:

x1 = -1
x2 = 1
x3 = 2

Answer:

The result to your inquiry is 2 7/24.

Step-by-step explanation:

Data:

Hank's cows yield = 4 3/4 and 4 1/8

Debra's cows yield = 5 1/2 and 5 2/3

Process:

1.- Convert the mixed numbers into improper fractions:

For Hank: (16 + 3)/4 = 19/4 and (32 + 1)/8 = 33/8.

For Debra: (10 + 1)/2 = 11/2 and (15 + 2)/3 = 17/3.

2.- Add Hank's and Debra's milk quantities:

Hank: 19/4 + 33/8 = 38/8 + 33/8 = 71/8.

Debra: 11/2 + 17/3 = 33/6 + 34/6 = 67/6.

3.- Subtract Hank's total from Debra's total:

67/6 - 71/8 = (268 - 213)/24.

Thus, it simplifies to 55/24.

- Convert back to a mixed number:

2

24 55

7

Where 55/24 equals 2 7/24.

4.- Conclusion:

Debra produced 2 7/24 more milk than Hank.

Step-by-step explanation: We have the dimensions of a rectangular field given in feet. We are informed that an extension of feet is made to each side. Therefore, the new dimensions can be calculated accordingly. Hence, they are presented as .

I think it’s 156 hundreds, 3 tens, and 8 ones.

Answer:

Her age is 40 years

Step-by-step explanation:

Let Jerry's age be represented as j

Let Marjorie's age be denoted as m

The first part of the question states:

j = 4 + m/2

For the second equation:

m = 3j - 32

Multiply the first equation by 2 to get:

2j = 8 + m

Leading to m = 2j - 8

Set both equations for m equal to each other:

2j - 8 = 3j - 32

By simplifying, we get:

3j - 2j = 32 - 8

Therefore, j = 24

Now substituting back:

m = 2j - 8

m = 2(24) - 8

Thus, m = 48 - 8

Final result: m = 40