answer.
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
zysi [14]
2 years ago
10

Which graph represents the following piecewise defined function?

Mathematics
2 answers:
ss7ja [257]2 years ago
9 0

Answer:

D

Step-by-step explanation:

kenny6666 [7]2 years ago
5 0
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function

Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2

Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3


From the previous results the correct graph is the last as shown in attached graph.



You might be interested in
Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) she can drive with 12 li
masya89 [10]

Answer:

132 kilometers

Step-by-step explanation:

Given: Pamela drove her car 99 kilometers and used 9 liters of fuel.

To find: Number of kilometers Pamela drove in 12 liters of fuel.

Solution:

It is given that Pamela drove her car 99 kilometers and used 9 liters of fuel. Also the relationship between kilometers and fuel is proportional.

So, let us assume that she can travel x kilometers in 12 liters of fuel.

By proportionality we have,

99:9 :: x:12

\frac{99}{9} =\frac{x}{12}

11=\frac{x}{12}

x=12\times11

x=132

Hence, she can travel 132 kilometers in 12 liters of petrol.

7 0
2 years ago
Read 2 more answers
Adam can earn money recycling aluminium cans .each can weighs 15g and he can get paid 50p per kg . If Adam earns £15 , how many
kvasek [131]

there is 0.015 kilos in 15 grams. if each can weighs 0.015 and he gets paid 50p per KG. 0.015 X 66 will get you 1 kilogram! so you have 66 cans to get 1 kg worth of cans.  so there is 15 dollars and each kg is worth 50p- so 66 cans is = 50p

and there is 2 KG per dollar so 15 X 2 is 30! and then 66 X 30 is 1980!

66 for each KG and 30 represents how many 50p's are needed for 1 dollar!

so that is 1980 cans to get 15 dollars!


7 0
2 years ago
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are re
Ipatiy [6.2K]

Answer:

a) 0.88

b) 0.35

c) 0.0144

d) 0.2084

e) 0.7916

Step-by-step explanation:

a) The probability of a peanut being brown is 12/100 = 0.12. Hence the probability of it not being brown is 1-0.12 = 0.88

b) 12% of peanuts are brown, 23% are blue. So 35% are either blue or brown. The probability of a peanut being blue or brown is, therefore 35/100 = 0.35.

c) 12% of peanuts are red, so the probability of a peanut being red is 12/100 = 0.12. In order to calculate the probability of 2 peanuts being both red, we can assume that the proportion doesnt change dramatically after removing one peanut (because the number of peanuts is absurdly high. We can assume that we are replenishing the peanuts). To calculate the probability of 2 peanuts being both red, we need to power 0.12 by 2, hence the probability is 0.12² = 0.0144.

d) Again, we will assume that the probability doesnt change, because we replenish. The probability of a peanut being blue is 0.23. The probability of it not being blue is 0.77, so the probability of 6 peanuts not being blue is obtained from powering 0.77 by 6, hence it is 0.77⁶ = 0.2084

e) The event 'at least one peanut is blue' is te complementary event of 'none peanuts are blue', so the probability of this event is 1- 0.2084 = 0.7916

4 0
2 years ago
En el juego de domino son 28 fichas con la cara hacia abajo cual es la probabilidad de sacar la ficha 6-7
9966 [12]
Shakin my head like yeah
7 0
2 years ago
Michaela pays her cell phone service provider $49.95 per month for 500 minutes. any additional minutes used cost $0.15 each. in
lilavasa [31]
75 extra minutes because $61.20-$49.95=$11.25 and $11.25/$0.15=75.
7 0
2 years ago
Read 2 more answers
Other questions:
  • Five books of five different colors are placed on a shelf. the goldgold book is placed between the orangeorange and pinkpink ​bo
    6·2 answers
  • Ancient slingshots were made form straps of leather that cradled a rock until it was released. One would spin the slingshot in a
    15·2 answers
  • You and a friend want to know how much rope you need to climb a large rock.  Your friend is 5.5 feet tall and casts a shadow tha
    7·1 answer
  • Flip two coins 100 times, and record the results of each coin toss in a table like the one below:
    13·1 answer
  • A shopper bought a watermelon, a pack of napkins, and some paper plates. In his state, there is no tax on food. The tax rate on
    5·1 answer
  • A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 feet above the bow. The rope is hauled in a
    5·1 answer
  • Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3? A number line going from negative 10 to 0
    7·2 answers
  • (07.01 LC) The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to th
    10·1 answer
  • Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and
    14·1 answer
  • Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5. Point T is the center of dilation. Line s
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!