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SIZIF [17.4K]
3 years ago
8

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out

.
What is the common binomial factor between the two groups after their GCFs have been factored out?

a)2x + 5
b)2x − 5
c)x2 − 2
d)x2 + 2
Mathematics
2 answers:
Phoenix [80]3 years ago
5 0

Answer:

2x³ - 5x² + 4x - 10

(2x³ + 4x) + (-5x² - 10)

2x(x² + 2) - 5(x² + 2) = Answer is Choice D. Step-by-step explanation:

Marrrta [24]3 years ago
4 0
2x³ - 5x² + 4x - 10

(2x³ + 4x) + (-5x² - 10)

2x(x² + 2) - 5(x² + 2) = Answer is Choice D. x² + 2
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4 0
2 years ago
A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3
Vika [28.1K]

Answer:

(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.

Step-by-step explanation:

Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.

Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.

Test statistic (t) = (sample mean - population mean) ÷ sd/√n

sample mean = 3.24 minutes

population mean = 3.3 minutes

sd = 0.4 minutes

n = 62

degree of freedom = n - 1 = 62 - 1 = 71

significance level = 0.08

t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2

The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654

Conclusion:

Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.

5 0
3 years ago
A store buys 7 sweaters for $42 and sells them for $182. How much profit does the store make per sweater?
defon

Answer:

$20 per sweater.

Step-by-step explanation:

It is given that,

A store buys 7 sweaters for $42 and sells them for $182.

We need to find how much profit the store make per sweater.

The amount the store bought the sweaters fr is calculated as follows :

$182- $42 = $140

Profit the store made per sweater is given by :

\dfrac{140}{7}=20

Hence, the store will make $20 per sweater.

5 0
3 years ago
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