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krek1111 [17]
2 years ago
8

A piecewise function g(x) is represented by the graph.

Mathematics
1 answer:
stira [4]2 years ago
5 0

For different function different results are shown below.

<h3>What is Function?</h3>

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.

g(x) = −2x, −2 < x < 0

Answer:

NO. Because g(x) = −2x has negative slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upward so that can't be answer.

g(x) = −2, x < −2

Answer:

YES. Because g(x) = −2 is a horizontal line which is only on the left side of x=-2. Graph of this part is present in given graph. So yes it is answer.

g(x) = x − 2, −2 < x < 1

Answer:

NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 but there is no such graph. Hence this can't be answer.

g(x) = −2x + 6, x ≥ 1

Answer:

YES. Because g(x) = −2x+6 satisfies the graph which is going downward.

g(x) = x/2+ 1, –2 ≤ x < 1

Answer:

YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.

Learn more about function from:

brainly.com/question/12431044

#SPJ1

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What is total number of elements in 3 trials of rolling a 6-sided die?
Elina [12.6K]

Answer:

216 elements

Step-by-step explanation:

the total number of elements of a dice is :

6^n

6 stand for the 6 faces of the dice

n stands for the number trial

then total number of elements in 3 trials of rolling a 6-sided die is 6^3=216 elements

3 0
3 years ago
what is the measure of angle 3 if the measure of angle 6 is (2x-5) and the measure of angle 8 is (x+5)?
strojnjashka [21]

Answer: 115

Step-by-step explanation: just did it on edg

4 0
3 years ago
The sum of three consecutive counting numbers is 15 more than the greatest
Alex777 [14]

Answer:

9

Step-by-step explanation:

x+x+1+x+2 = 15+x+2

3x+3=x+17

3x=x+14

2x=14

x=7

7+8+9=24

9+15 = 24

7 0
2 years ago
A country’s population in 1993 was 94 million.
Wewaii [24]

Answer:

Step-by-step explanation:

A = Pe^rt

A = total

P = amount you start with

r = rate

t = time

Let's calculate the rate.

99000000 = 94000000e^r*6

Divide each side by 94m

99000000/94000000 = e^6r

Take the natural log of e of both sides.

ln(99000000/94000000) = 6r

Divide each side by 6.

(ln(99000000/94000000))/6 = r

Now we can find the population in 2005.

A = 94000000e^0.00863751131 * 12

A = 104265957

The population in 2005 is 104,265,957 people.

6 0
3 years ago
You are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween. Each gumball ha
riadik2000 [5.3K]

According to the calculations made, 410 gumballs will be needed to fill the box.

Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:

  • (Volume of box x 5/8) / volume of gumballs = Amount of gumballs  
  • Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius)  
  • Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches  
  • ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X
  • (343.1 x 5/8) / 0.523 = X
  • 214.4375 / 0.523 = X
  • 410 = X

Therefore, 410 gumballs will be needed to fill the box.

Learn more in brainly.com/question/1578538

4 0
2 years ago
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