1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
3 years ago
7

Please help. Look at screenshot

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0

Answer:

a.

<u>Increasing:</u>

x < 0

x > 2

<u>Decreasing:</u>

0 < x < 2

b.

-1 < x < 2

x > 2

c.

x < -1

Step-by-step explanation:

a.

Function is increasing when it is going up as we go rightward

Function is decreasing when it is going down as we go rightward

We can see that as we move up (from negative infinity) until x = 0, the function is increasing. Also, as we go right from x = 2 towards positive infinity, the function is going up (increasing).

So,

<u>Increasing:</u>

x < 0

x > 2

The function is going down, or decreasing, at the in-between points of increasing, that is from 0 to 2, so that would be:

<u>Decreasing:</u>

0 < x < 2

b.

When we want where the function is greater than 0, we basically want the intervals at which the function is ABOVE the x-axis [ f(x) > 0 ].

Looking at the graph, it is

from -1 to 2 (x axis)

and 2 to positive infinity

We can write:

-1 < x < 2

x > 2

c.

Now we want when the function is less than 0, that is basically saying when the function is BELOW the x-axis.

This will be the other intervals than the ones we mentioned above in part (b).

Looking at the graph, we see that the graph is below the x-axis when it is less than -1, so we can write:

x < -1

You might be interested in
What is the solution to the system of equations?
Dovator [93]

Answer:

<h2>(-10, 2, 6)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}

\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}

x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10

4 0
3 years ago
A pet store has 5 cats. They need to split 7 cups of cat food evenly between each cat. How many cups of cat food will each cat g
kumpel [21]

Answer

1.4 cups

when you divide 7/5 you get 1.4 cups

1.4 lies between 1 and 2

so:

1-------1.4------2

3 0
3 years ago
A card is picked at random from a deck of cards, after putting it back another card is picked at random. ​Are these two events d
kvv77 [185]

Answer: Independent event

Step-by-step explanation:

When two events are independent of each other, this means that the probability that one event will occurs does not in any way affects the probability of the occurrence of the other event.

For example, card is picked at random from a deck of cards, and after putting it back,thne another card is picked at random. ​The probability of picking the cards is not affected by each other since it is put back.

6 0
3 years ago
3. What is the molar mass of SO2?
Arada [10]

Answer: 64.066 g/mol

hope this helps :D

Step by Step: To find the molecular mass of SO2, you are going to want to search out the mass of SO2. The mass of sulfur is 32AMU, and also the mass of oxygen is 16AMU, then times two thanks to the subscript, so 32. Add those up, and 32+32=64AMU, which is your mass for the entire.

8 0
3 years ago
Read 2 more answers
Find the solution of the system of equations.<br><br> -x+2y=-15<br> 8x-2y=-20
Grace [21]

Answer:

the answer is (-5,-10)

hope this helps :)

8 0
3 years ago
Other questions:
  • Solve for c:<br><br><br>c5-3= -15<br>PLEASE SHOW WORK!!!
    6·1 answer
  • What is 1.8 divided by 7.74<br> What is 56.4 divided by 4.7 please explain
    9·1 answer
  • Find the values of the variables for which ABCD must be a parallelogram
    8·1 answer
  • A chemist is conducting an experiment which involves a certain chemical reaction. He begins the experiment with 824 milliliters
    9·1 answer
  • Tell wheather the system has one solution, infinitely many solutions, or no solution.
    9·1 answer
  • Solve<br> x+(x+1)+(x+2)=168
    10·2 answers
  • What is another way to write -8+5?
    15·1 answer
  • Tip of 20% on a $5 meal
    13·2 answers
  • You flip a coin three times in a row. What is the probability you will get three tails?
    7·2 answers
  • Help<br> pleasee<br><br><br><br><br><br><br> ...............
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!