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3 years ago

Find the Factor of 6x 2 - 17x + 5.

2 answers:

5 0

6x² -17x +5 = (6x² - 2x) - (15x + 5) (factoring by grouping)

2x (3x -1) - 5(3x - 1)

(2x -5) (3x - 1) is your final answer

hope this helps

n200080 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

$6x^2-17x+5$

This can be written as

$6x^2-15x-2x+5$

Because -15-2=-17 and also (-15)(-2)=30

so now we have two pairs

$(6x^2-15x)+(-2x+5)$

Take out GCF from each pair

$3x(2x-5)-1(2x-5)$

since (2x-5) is now the common factor so final factored form

$(3x-1)(2x-5)$

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3 years ago

Read 2 more answers

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Answer:

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$df=n-1=12-1=11$

$p_v =P(t_{(11)}>2.021) =0.0342$

If we compare the the p value with the significance level provided $\alpha=0.1$ , we see that $p_v < \alpha$ , so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation :

x=test value 2017 , y = test value 2019

x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6

y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \leq 0$