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3 years ago

Determine the intervals on which the function is increasing, decreasing, or constant.

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

5 0

Hello: by graph
answer : 1

steposvetlana [31]3 years ago

3 0

Answer:

Increasing on (-4, 2) and (1, 3); Decreasing on (-2, 1).

Step-by-step explanation:

The function is said to be increasing function if as the value of x increases, then the value y also increases.

The function as a decreasing function if as the value of x increases, y decreases or vice-versa.

And the function is said to be constant if as x increases the value of y remains the same or vice-versa.

Here, Function is increasing from (-4, -4) to (-2, 4.5) and from (1, 0) to (2, 8)

and function is decreasing from (-2, 4.5) to (1, 0).

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You have used the significant level of 0.01 to estimate the average hours of television viewing for the NJ students. What is the

Lorico [155]

Answer:

Step-by-step explanation:

Given : You have used the significant level of 0.01 to estimate the average hours of television viewing for the NJ students.

To Find :What is the chance that our interval estimate does not contain the true population mean?

Solution:

We are given that You have used the significant level of 0.01 to estimate the average hours of television viewing for the NJ students.

So, α=0.01

Significance level indicates a risk of concluding that a difference exists when there is no actual difference.

So, The chance that our interval estimate does not contain the true population mean is 0.01

So, The chance that our interval estimate does not contain the true population mean is $0.01 \times 100 = 1\%$

Hence Option D is true

8 0

3 years ago

Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form

yKpoI14uk [10]

Answer:

$\displaystyle a_{1} = 108$

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

$\displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r}$

we are given that

$S_n=189$
$r=\dfrac{1}{2}$
$n=3$

thus substitute:

$\displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} }$

to figure out $a_1$ we need to figure out the equation

simplify denominator:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189$

simplify square:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189$

simplify substraction:

$\displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189$

simplify complex fraction:

$\displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189$

calculate reciprocal:

$\displaystyle a_{1} \frac{7}{8} \times 2 = 189$

reduce fraction:

$\displaystyle a_{1} \frac{7}{4} \ = 189$

multiply both sides by 4/7:

$\displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7}$

reduce fraction:

$\displaystyle a_{1} = 27\times 4$

simplify multiplication:

$\displaystyle a_{1} = 108$

hence,

$\displaystyle a_{1} = 108$

4 0

3 years ago

hello loves!! I've been stuck on this question for like 2 hours lol! i need some help, ill give 100 points :)

lana66690 [7]

Answer:

61.12 units²

Step-by-step explanation:

(½ × pi × r²) + (½ × b × h)

½ [(3.14 × 4²) + (8 ×9)]

½(122.24)

61.12 units²

6 0

4 years ago

Read 2 more answers

D. If the speed of a body is increased four times, how will its kinetic energy be affected?

const2013 [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is 7<br> and 8 and 9

Roman55 [17]

7. 2/3
8. 8/9
9 2

I hope this helps
6 7
x 42/63 and simply which gets you 2/3
7 9

3 0

3 years ago