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Ksenya-84 [330]
3 years ago
10

The graph of the function f(x) = (x + 2)(x + 6) is shown below. Which statement about the function is true? The function is posi

tive for all real values of x where x > –4. The function is negative for all real values of x where –6 < x < –2. The function is positive for all real values of x where x < –6 or x > –3. The function is negative for all real values of x where x < –2.
Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0
The critical values for x are -2 and -6.
We break the function domain into regions:
-∞ to -6 f(x) ≥ 0
-6 to-2 f(x) < 0 this is the correct statement, answer 2
-2 to +∞ f(x) ≥ 0
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Use the Associative Property of Addition to write an expression equivalent to (n + 2) + 7. Which expression is equivalent to (n
insens350 [35]

Answer:

The correct answer is OB.

Step-by-step explanation:

Let us recall the Associative Property of Addition: given three real numbers a, b and c the following equality holds:

(a+b) + c = a+(b+c).

Let us remark that the Associative Property of Addition tells us that we can perform the sums in any order.  So,

(n+2)+7 = n+(2+7).

In the other options there was used the Commutative Property of Addition.

6 0
3 years ago
In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older
Viktor [21]

Answer:

p_v =P(t_{(63)}>2.5)=0.0075  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.  

Step-by-step explanation:

1) Data given and notation  

\bar X=45 represent the mean height for the sample  

s=16 represent the sample standard deviation for the sample  

n=64 sample size  

\mu_o =40 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean age is higher than 40 years, the system of hypothesis would be:  

Null hypothesis:\mu \leq 40  

Alternative hypothesis:\mu > 40  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{45-40}{\frac{16}{\sqrt{64}}}=2.5    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=64-1=63  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(63)}>2.5)=0.0075  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.  

6 0
3 years ago
Mr. Reddick has 74 total yards of red and blue felt to distribute to students in his art class. Each of his 20 students gets 2.
Mkey [24]

Answer: Blue felt = 20*2.5 = 5074-50=24 yards of red24/20 = 1.2 each student gets 1.2 yards of red felt So the answer is 1.2 Yards.each of his 20 students gets 2.5 yards of blue felt for the project. He also gives each student an equal amount of red felt.

Step-by-step explanation:

5 0
2 years ago
8TH GRADE MATH HELP PLEASE
s2008m [1.1K]

Answer:

55 is the answer hope it helps...

6 0
2 years ago
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Find the value for x and y for the triangle. Show work.
makkiz [27]

Step-by-step explanation:

done

.......................

7 0
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