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3 years ago

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Mathematics

1 answer:

astraxan [27]3 years ago

6 0

Your average rate of change for the interval is 3/2 or 1.5, so that should be your answer.

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PLEASE HELP WITH THIS

Kitty [74]

I think it is B -2 < x < 2

4 0

3 years ago

100 POINTS TO RIGHT AWNSER!!!!

makvit [3.9K]

If you're using the app, try seeing this answer through your browser: brainly.com/question/3000586

——————————

The answer is option D) r < 5 or r > – 1.

I'm going to graph each inequality below on a number line.

A) r > 5 or r > – 1.

$\large\begin{array}{cl} \mathsf{r>5}&\qquad\mathsf{\textsf{|||}\!\!\!\underset{-1}{\circ}\!\!\!\textsf{|||||}\!\!\underset{5}{\circ}\!\!\overset{*****~~~}{\textsf{|||}}\!\!\!\footnotesize\begin{array}{l}\blacktriangleright \end{array}\qquad \mathbb{R}}\\\\ \mathsf{r>-1}&\qquad\mathsf{\textsf{|||}\!\!\!\underset{-1}{\circ}\!\!\!\overset{********************~~~}{\textsf{|||||}\!\!\underset{5}{\bullet}\!\!\textsf{|||}}\!\!\!\footnotesize\begin{array}{l}\blacktriangleright \end{array}\qquad \mathbb{R}}\\\\\\ \mathsf{r>5~~or~~r>-1}&\qquad\mathsf{\textsf{|||}\!\!\!\underset{-1}{\circ}\!\!\!\overset{********************~~~}{\textsf{|||||}\!\!\underset{5}{\bullet}\!\!\textsf{|||}}\!\!\!\footnotesize\begin{array}{l}\blacktriangleright \end{array}\qquad \mathbb{R}} \end{array}$

The result is found just by joining those two intervals together. Actually that compound inequality only implies

r > – 1

which does not represent all real numbers.

—————

B) r > 5 or r < – 1.

$\large\begin{array}{cl} \mathsf{r>5}&\qquad\mathsf{\textsf{|||}\!\!\!\underset{-1}{\circ}\!\!\!\textsf{|||||}\!\!\underset{5}{\circ}\!\!\overset{*****~~~}{\textsf{|||}}\!\!\!\footnotesize\begin{array}{l}\blacktriangleright \end{array}\qquad \mathbb{R}}\\\\ \mathsf{r5~~or~~r$

Numbers between – 1 and 5 (including them) are not included in the union, so you don't have all real numbers represented there either.

—————

C) r < 5 or r < – 1.

$\large\begin{array}{cl} \mathsf{r$

Numbers that are greater or equal to 5 are not in the union. So it does not represent all real numbers.

—————

D) r < 5 or r > – 1.

$\large\begin{array}{cl} \mathsf{r-1}&\qquad\mathsf{\textsf{|||}\!\!\!\underset{-1}{\circ}\!\!\!\overset{********************~~~}{\textsf{|||||}\!\!\underset{5}{\bullet}\!\!\textsf{|||}}\!\!\!\footnotesize\begin{array}{l}\blacktriangleright \end{array}\qquad \mathbb{R}}\\\\\\ \mathsf{r-1}&\qquad\mathsf{\overset{~~~**************************~~~}{\textsf{|||}\!\!\!\underset{-1}{\bullet}\!\!\!\textsf{|||||}\!\!\underset{5}{\bullet}\!\!\textsf{|||}}\!\!\!\footnotesize\begin{array}{l}\blacktriangleright \end{array}\qquad \mathbb{R}} \end{array}$

Now all real numbers are included in the union. So this is the right choice.

Answer: option D) r < 5 or r > – 1.

I hope this helps. =)

6 0

3 years ago

Please help

lisov135 [29]

Answer: 12

Step-by-step explanation:

law of cosines states that f^2 = t^2 + p^2 - 2tp cos(F)

so f^2 = 5^2 + 7^2 - 2*5*7*cos(175)

f^2 = 74 - (-69.7336)

f^2 = 143.7336

f = 11.9889

which rounds to 12

7 0

3 years ago

Read 2 more answers

Tickets to a rock concert cost $32.50 each. The school choir bought 54 tickets for the Saturday concert and 33 tickets for the S

Alenkasestr [34]

Answer:

$2827.5

Step-by-step explanation:

Cost of each ticket = $32.50

The school choir bought 54 tickets for the Saturday concert and 33 tickets for the Sunday concert.

Cost for Saturday concert = 32.50 × 54

= $1755

Cost for sunday concert = 32.50 × 33

= $1072.5

Total cost = Cost for Saturday concert + Cost for Sunday concert

= $1755 + $1072.5

= $2827.5

Hence, he will pay $2827.5 in all for the tickets.

7 0

3 years ago

The amount of snowfall during the first 5 hours of a winter storm is modeled by the piecewise function shown. Which statement de

Bad White [126]

Answer:

C. The amount of snowfall was constant for two hours

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers