Ask question

Ask question

All categories

3 years ago

7

Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other facto

r, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)

1 answer:

Darina [25.2K]3 years ago

4 0

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:

2 / 2 -3 -3 2

4 2 -2

-------------------------------

2 1 -1 0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:

-1 / 2 1 -1

-2 1

---------------------

2 -1 0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.

You might be interested in

Reggie surveyed several classmates at his school asking them how many hours they spend doing homework each week. The results of

Neko [114]

Total students 5+16+42+22+5 = 90
0-1's probability is 5 / 90 = 5.5% about
2-3's probability is 16 / 90 = 17.7% about
4-5's probability is 42 / 60 = 46.6% about
6-7's probability is 22 / 90 = 24.4% about
8+'s probability is 5 / 90 = 5.5% about
(percentages not rounded, just cut off at the first decimal)

3 0

3 years ago

Find the domain for the expression:<br> y/y-5 + 1/y+8

Jet001 [13]

Answer:

1/y+4

Step-by-step explanation:

1-5+1/y+8

1/y+(1-5+8)

1/y+4

7 0

3 years ago

Read 2 more answers

The hypotenuse of a 45°-45°-90° triangle measures 22 2 units.

Aleonysh [2.5K]

Answer:

Option C.

Step-by-step explanation:

Given information: The hypotenuse of a 45°-45°-90° triangle measures 22√2 units.

Let x be the length of one leg.

From the given figure it is clear that length of both legs are same.

According to the Pythagoras theorem, in a right angled triangle

$(leg_1)^2+(leg_2)^2=hypotenuse^2$

Substitute $leg_1=leg_2=x, hypotenuse=22\sqrt{2}$ in the above formula.

$(x)^2+(x)^2=(22\sqrt{2})^2$

$2x^2=(22)^2(\sqrt{2})^2$

$2x^2=2(22)^2$

Divide both sides by 2.

$x^2=(22)^2$

Taking square root on both sides.

$x=22$

The length of one leg is 22 units.

Therefore, the correct option is C.

6 0

3 years ago

Read 2 more answers

the daily temperatures last week were 68,70,73,75,76,76 and 82 degrees. what fraction of the temperatures were above 75 degress?

Annette [7]

3/7. There are 7 temperatures, so the denominator is 7. However, only 3 of them were above 75, so the numerator is 3.

8 0

3 years ago

Read 2 more answers

The Ship It Anywhere Company bought a truck for $245,000. According to the company’s accounting department, the truck will depre

Svetradugi [14.3K]

Answer:

1. $V(t) = -32500t + 245000$

a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.

b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).

c. The formula is: $V(t) = -32500t + 245000$

2. t-intercept: $t = 7.5385$

The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.

3. Graph in the image attached.

4. The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].

5. $V(8) = -15000$

It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.

6. After 3.6 years.

7. Between 3.23 years and 5.63 years.

Step-by-step explanation:

1.

The inicial value is 245,000, and each year the value decreases 32,500, so we can write the equation:

$V(t) = -32500t + 245000$

a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.

b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).

c. The formula is: $V(t) = -32500t + 245000$

2.

To find the t-intercept we just need to use V(t) = 0 and then find the value of t:

$0 = -32500t + 245000$

$32500t = 245000$

$t = 7.5385$

The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.

3.

The graph of the function is in the image attached.

4.

The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].

5.

$V(8) = -32500*8 + 245000 = -15000$

It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.

6.

$128000 = -32500t + 245000$

$32500t = 117000$

$t = 3.6$

After 3.6 years.

7.

$62000 = -32500t + 245000$

$32500t = 183000$

$t = 5.6308$

$140000 = -32500t + 245000$

$32500t = 105000$

$t = 3.2308$

Between 3.23 years and 5.63 years.

5 0

3 years ago