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docker41 [41]
3 years ago
5

What is the range of the function shown in the graph below?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0

Answer:

y= -3/2X + 2

Step-by-step explanation:

we get the gradient by picking any two points from the graph( it a linear graph)

using the point:

(x,y)= (-2,5) , (4,-4)

using M= (y2-y1)/x2-x1)

we get our gradient to be -9/6 which is

-3/2

using the equation of a straight line graph which is

y-y1=m(x-x1) and the point (4,-4)

we get

y-(-4)=-3/2(x-4)

----> y+4= -3/2x + 6

make y subject of the formula to take the form

y=mx+c

we get :

y=-3/2x + 2

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Find the length of bf and then add it with the length fc 
7 0
3 years ago
how do i find the volume of a triangular prism that has a 10m width a 4m base and a 8m hight don't worry about the T
Alecsey [184]
The volume of a triangular prism is equal to :
area of the base x height

the area of the base :
10 \times 4 \div 2 = 40 \div 2 = 20

so the volume is
20 \times 8 = 160

the answer is 160m^3




good luck
3 0
3 years ago
Y=x-4 and -4x-6y=-16
denis-greek [22]

Answer:

x=4

y=0

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Miriam is picking out some movies to rent, and she is primarily interested in comedies and foreign films. She has narrowed down
Keith_Richards [23]

Answer:

There are 795 combinations.

Step-by-step explanation:

The number of ways or combinations in which we can select k element from a group of n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

10C2*15C1=\frac{10!}{2!(10-8)!}*\frac{15}{1!(15-14)!}

10C2*15C1=675

2. Choose 3 Comedies from the 10. This is calculated as:

10C3=\frac{10!}{3!(10-3)!}=120

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

8 0
3 years ago
If you randomly choose two letters from the word "JANUARY ", find the probability that you choose letter J first and then A afte
miss Akunina [59]

Answer:

2.0%

Step-by-step explanation:

The probability of two events happening in the sequence is calculated by multiplying the probability of each event happening separately by one another. Since there are a total of 7 letters in this word then the probability of choosing one letter correctly is \frac{1}{7} . Since the first letter is replaced before choosing the second letter the probability remains the same. Therefore, the sequence would be the following...

\frac{1}{7} * \frac{1}{7} = 0.020164 or 2.0%

This is an independent scenario because it does not depend on any external factors and under these circumstances the percentage will remain the same.

3 0
3 years ago
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