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2 years ago

Which of the following shows the division problem below in synthetic division form? (6x^3+x^2-3)/(x-7)

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

5 0

Answer:

Option C.

Step-by-step explanation:

If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.

The given division problem is

$\dfrac{6x^3+x^2-3}{x-7}$

Here,

$x-c=x-7\Rightarrow c=7$

The numerator polynomial can be written as

$P(x)=6x^3+x^2+0x-3$

So, the coefficients of numerator are 6, 1, 0, -3.

The synthetic division form for given division problem is

7 | 6 1 0 -3

Therefore, the correct option is C.

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Find the measure of /_ MFZ

marshall27 [118]

Given:

$MZ\cong PZ$

$m\angle MFZ=(x+9)^\circ$

$m\angle PFZ=(2x-1)^\circ$

To find:

The measure of angle MFZ.

Solution:

In triangles MFZ and PFZ,

$m\angle FMZ\cong \angle FPZ$ (Right angle)

$MZ\cong PZ$ (Given)

$FZ\cong FZ$ (Common side)

$\Delta MFZ\cong \Delta PFZ$ (HL congruent postulate)

$\angle MFZ\cong \angle PFZ$ (CPCTC)

$m\angle MFZ=m\angle PFZ$

$x+9=2x-1$

$9+1=2x-x$

$10=x$

The value of x is 10.

The measure of angle MFZ is:

$m\angle MFZ=(x+9)^\circ$

$m\angle MFZ=(10+9)^\circ$

$m\angle MFZ=19^\circ$

Therefore, the measure of angle MFZ is 19 degrees.

7 0

2 years ago

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

emmasim [6.3K]

Answer:

Tera had the higher z-score, so she should be offered the job.

Step-by-step explanation:

Z- score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem:

Whoever has the higher z-score should get the job.

Brittany:

Scored 88.3, mean 63.1, standard deviation 14. So

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

$Z = \frac{88.3 - 63.1}{14}$