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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.

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Babies born after 40 weeks gestation have a mean length of 52.2 centimeters (about 20.6 inches). Babies born one month early hav
Sveta_85 [38]

Answer:

a) Z = -2.88

b) Z = -0.96

c) 40 weeks gestation babies

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm.

Here, we use \mu = 52.2, \sigma = 2.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{45 - 52.2}{2.5}

Z = -2.88

b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean.

Here, we use \mu = 47.4, \sigma = 2.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{45 - 47.4}{2.5}

Z = -0.96

c. For which group is a birth length of 45 cm more common?

For each group, the probability is 1 subtracted by the pvalue of Z.

Z = -2.88 has a lower pvalue than Z = -0.96, so for Z = -2.88 the probability 1 - pvalue of Z will be greater. This means that for 40 weeks gestation babies a birth length of 45 cm is more common.

3 0
3 years ago
15 people received an email and sent it to 3 different friends each, who in turn sent it to 2 new people. What percent of the to
Anettt [7]
15 or 80 percent not real sure
3 0
3 years ago
Anyone know how to do exponential funtion word problems
aalyn [17]
Do you have a picture to go with this?
6 0
3 years ago
The graph of f(x) shown below
bonufazy [111]

Answer:

C

Step-by-step explanation:

the "-" sign can't be true, because that would have turned the whole graph of x² upside-down. but it is not.

so, we need a positive sign for the x term.

and the whole graph is shifted to the right. so the functional value of x of F(x) is now the same that happened "earlier" (for smaller x) with G(x). so, the argument "x" is now reduced (by 3 units, as the graph is shifted right by 3 units) in the calculation compared to the original G(x) calculation.

therefore, the ...(x-3)... expression is right.

so, positive sign and "(x-3)" is only in C.

7 0
2 years ago
A vehicle is traveling 540 meters in 6 seconds.How far can it travel in 4 seconds
agasfer [191]
6 seconds = 540 m

-----------------------------
Find 1 second: 
-----------------------------
6 sec = 540 m
1 sec = 540 ÷ 6
1 sec = 90m

-----------------------------
Find 4 seconds:
-----------------------------
1 sec = 90m
4 sec = 90 x 4
4 sec = 360 m

----------------------------------------------------------
Answer: It can travel 360m in 4 seconds.
----------------------------------------------------------
7 0
3 years ago
Read 2 more answers
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