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xeze [42]
3 years ago
12

Consider the following graph of a piecewise-defined function.

Mathematics
1 answer:
netineya [11]3 years ago
4 0
From the graph of peicewise-defined function, we shall obtain the answers to the questions as follows:
a] When x<-2, the value of f(x) will be f(x)=5
Answer: B:5

b] when x≥3, the value of f(x) will be f(x)=-3
Answer: <span>A: -3</span>
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Dawn and abed each roll a standard die obtaining a random number from 1 to 6. if the probability that dawns number is larger tha
larisa [96]

Answer:

a+b = 12

Step-by-step explanation:

There are 36 possible outcomes for rolling two dice. Let A be the number rolled by Abed and D be the number rolled by Dawn. The sample space, in the format [A,D], of all of the possibilities in which Dawn's number is larger is:

[5,6]

[4,5] [4,6]

[3.4] [3,5] [3.6]

[2,3] [2.4] [2,5] [2.6]

[1,2] [1,3] [1.4] [1,5] [1.6]

There are 15 ways out of 36 possible ways of Dawn getting the higher number. In the simplest form:

\frac{15}{36}=\frac{5}{12}=\frac{a}{b}\\ a+b = 5+12 = 17

7 0
3 years ago
How do you find the y-intercept of a line?
pogonyaev

The equation of any straight line, called a linear equation, can be written as: y= mx+b, where my is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the lone crosses the y axis.

3 0
4 years ago
If a triangle has an area of 192 mm2, and the
Debora [2.8K]

Answer:32mm

Step-by-step explanation:

area of triangle = 1/2 *base * height

192mm2 = 1/2 *b* 12mm

192 =6b

base=192/6

base= 32mm

3 0
3 years ago
The ratio to cats at an animal shelter 3:1. if there are 56 dogs and cats in all, how many more dogs than cats are there??
Black_prince [1.1K]

Answer:

There are 28 more dogs than cats at the animal shelter.

Step-by-step explanation:

If the ratio of dogs to cats at an animal shelter is 3:1, that means there are 3 dogs for every 1 cat.

The way I think about it is I try multiplying every number by 3 and 1, kind of like process of elimination.

After using every number from 1-13, I finally got to 14. Now, 3 x 14 = 42 and 1 x 14 = 14. Add 42 + 14 and you will get 56.

So there are 42 dogs and 14 cats at the animal shelter.

However, it is asking for how many more dogs than cats there are, so you have to subtract 42 - 14 and the answer is 28 more dogs than cats.

6 0
3 years ago
A store Is having a sale where movies are 15% off their original price. a movien is on sale for $22.10 what was the orgial price
sergeinik [125]
X= original $

Original $ - % of original $= total $

x - 15%x= $22.10
x- 0.15= 22.10
Combine like terms
0.85x= 22.10
Divide both sides by 0.85
x= $26 original price

Hope this helps! :)
3 0
3 years ago
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