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vlada-n [284]
2 years ago
9

Determine if x + 3 is a factor of -3x^3+6x^2+6x+9 How do you know

Mathematics
1 answer:
Reika [66]2 years ago
7 0

Answer:

  x+3 is not a factor

Step-by-step explanation:

A graphing calculator shows the expression has a zero at x=3 and no other real zeros. If x+3 were a factor, there would be a zero at x = -3.

  x+3 is not a factor of the expression.

_____

You can check to see if x+3 is a factor by evaluating the expression for x=-3. If (x+3) is a factor, x=-3 will make the function be zero.

  3(-x³ +2x² +2x +3) = 3(((-x +2)x +2)x +3) = 3(((-(-3)+2)(-3) +2)(-3) +3)

  = 3((-15+2)(-3) +3) = 3(39 +3) = 126 ≠ 0

The expression evaluates to 126 at x=-3, so x+3 is NOT a factor.

You might be interested in
one recent morning the temperature rose 8 degrees Fahrenheit between sunrise and 10:00 AM. If the temperature at 10:00 AM was 55
nika2105 [10]

Answer:47

Step-by-step explanation:55-8

8 0
3 years ago
A large pool of adults earning their first driver’s license includes 50% low-risk drivers, 30% moderate-risk drivers, and 20% hi
Mamont248 [21]

Answer:

The probability that these four will contain at least two more high-risk drivers than low-risk drivers is 0.0488.

Step-by-step explanation:

Denote the different kinds of drivers as follows:

L = low-risk drivers

M = moderate-risk drivers

H = high-risk drivers

The information provided is:

P (L) = 0.50

P (M) = 0.30

P (H) = 0.20

Now, it given that the insurance company writes four new policies for adults earning their first driver’s license.

The combination of 4 new drivers that satisfy the condition that there are at least two more high-risk drivers than low-risk drivers is:

S = {HHHH, HHHL, HHHM, HHMM}

Compute the probability of the combination {HHHH} as follows:

P (HHHH) = [P (H)]⁴

                = [0.20]⁴

                = 0.0016

Compute the probability of the combination {HHHL} as follows:

P (HHHL) = {4\choose 1} × [P (H)]³ × P (L)

               = 4 × (0.20)³ × 0.50

               = 0.016

Compute the probability of the combination {HHHM} as follows:

P (HHHL) = {4\choose 1} × [P (H)]³ × P (M)

               = 4 × (0.20)³ × 0.30

               = 0.0096

Compute the probability of the combination {HHMM} as follows:

P (HHMM) = {4\choose 2} × [P (H)]² × [P (M)]²

                 = 6 × (0.20)² × (0.30)²

                 = 0.0216

Then the probability that these four will contain at least two more high-risk drivers than low-risk drivers is:

P (at least two more H than L) = P (HHHH) + P (HHHL) + P (HHHM)

                                                            + P (HHMM)

                                                  = 0.0016 + 0.016 + 0.0096 + 0.0216

                                                  = 0.0488

Thus, the probability that these four will contain at least two more high-risk drivers than low-risk drivers is 0.0488.

6 0
3 years ago
What's the correct choice please help
nadezda [96]

Answer:

$77,886

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

The table states that:

$201.6 in 2006 is worth $232.957 in 2013.

We want to find:

The value of $90,000 in 2013 in 2006:

$201.6 - $232.957

x - $90000

Applying cross multiplication

232957x = 201.6*90000

x = \frac{201.6*90000}{232957}

x = 77886

$77,886 is the answer

6 0
3 years ago
How do you find the median on a dot plot
Andrei [34K]
On the dot plot you would find the numbers, put them in order lowest to highest and either you can take a pencil and mark them out or take your two index fingers and cross the out to see what is in the middle. If there is two numbers then you add them together and divide them then that is the median.


7 0
2 years ago
5-1+2x(4x4-12)x8<br><br> explain
Romashka [77]

First, do what's in the paranthesis:

(4*4-12)

Multiplication first:

16-12

Then subtract:

4

We get:

5-1+2*4*8

Multiply:

2*4

8

Multiply, again:

8*8

64

We get:

5-1+64

Subtract:

5-1

4

Add:

4+64

Answer: 68

5 0
3 years ago
Read 2 more answers
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