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2 years ago

This is a piecewise function |x+3| ,x>2

Mathematics

1 answer:

marusya05 [52]2 years ago

8 0

Answer:

Given: piece wise function-

f(x) = x + 3 for x < 0 and f(x) = 2x for x ≥ 0

First part of the function does not include x = 0.

In slope-intercept form,

slope(m) = 1

y-intercept = (0,3).

So, the conditions are shown in graphs 1 and 3.

Now, the second part of the function equation passes through origin as the equation is f(x) = 2x.

Correct choice - [B]

Note: See picture of graph attached.

Step-by-step explanation:

You might be interested in

How many positive integers not exceeding 1000 are not divisible by either 4 or 6?

san4es73 [151]

$\left\lfloor\dfrac{1000}4\right\rfloor=250$

$\left\lfloor\dfrac{1000}6\right\rfloor=166$

$\left\lfloor\dfrac{1000}{\mathrm{lcm}(4,6)}\right\rfloor=\left\lfloor\dfrac{1000}{12}\right\rfloor=83$

$250+166-83=333$

7 0

3 years ago

The rules for license plates in Idaho are 3 letters followed by 4 numbers (example ABC 1234), where the first letter can only be

shusha [124]

Answer:

Option: d is the correct answer.

d. 5 x 26 x 26 x 10 x 10 x 10 x 10 – Allow for more first letters to be used.

Step-by-step explanation:

It is given that:

The rules for license plates in Idaho are 3 letters followed by 4 numbers (example ABC 1234), where the first letter can only be the letters I, D, A, H, or O.

The number of different ways it could be done is:

as for the first place we have just 5 choices. ( as just 5 letters I, D, A, H, or O are to be used )

for the second place we have 26 choices. ( All the 26 alphabets could be used )

and same is for the third place we have 26 choices.

Now for the fourth,fifth,sixth and seventh places we have 10 choices.

Hence, the number of ways it could be done is:

5×26×26×10×10×10.

Also the number of ways the number of license plates can be increased is by not taking any restriction for the first place.

i.e. Allow for more first letters to be used.

Hence, the answer is:

Option: d

d. 5 x 26 x 26 x 10 x 10 x 10 x 10 – Allow for more first letters to be used.

6 0

3 years ago

Read 2 more answers

PLEASE HELP PEOPLE!!!!!

Pavel [41]

4 rectangles are 6 x 4

4 triangles are 4x 4

1 square is 6x 6

Area :

6 x 4 = 24 x 4 = 96

1/2 x 4 x 4 = 8 x 4 = 32

6 x 6 = 36

96 + 32 + 36 = 164 square inches.

The answer is A

7 0

3 years ago

The following data summarizes results from 889 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths

pickupchik [31]

Answer:

$P(A or B) = 0.291 +0.159 -0.0562=0.3938$

Step-by-step explanation:

Previous concepts

The total probability rule is "used to find the probability of an event, A, when you don’t know enough about A’s probabilities to calculate it directly. Instead, you take a related event, B, and use that to calculate the probability for A".

Solution to the problem

The data given:

Pedestrian

Intoxicated Not intoxicated Total

Intoxicated 50 91 141

Not intoxicated 209 539 748

Total 259 630 889

The rows on this case are associated to the tyep of Driver.

Let's define the following events:

A =Pedestrian was intoxicated

B= Driver was intoxicated

And we can find the probabilities for the events A and B like this with the info given:

$P(A) = \frac{50+209}{889}=0.291$

$P(B) = \frac{50+91}{889}=0.159$

We can find also the probaility that pedestrian was intoxicated AND driver was intoxicated, like this:

$P(A and B) = \frac{50}{889}=0.0562$

Because the intersection for the events A and B is 50 and the grand total is 889.

Now we can use the total rule of probability given by this:

$P(A or B) = P(A) +P(B) -P(A and B)$

And since w ehave everything to replace we got:

$P(A or B) = 0.291 +0.159 -0.0562=0.3938$

7 0

3 years ago

Which table could be used to graph a piece of the function?

Darya [45]

Answer:b

Step-by-step explanation:

6 0

3 years ago