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Sunny_sXe [5.5K]
4 years ago
7

A line passes through the points (4, 19) and (9, 24). Write a linear function in the form y=mx+b for this line

Mathematics
1 answer:
k0ka [10]4 years ago
8 0

Answer:

y=x+15

Step-by-step explanation:

1. find the slope

m=(24-19)/(9-4)

m=5/5

m=1

2. plug slope into slope intercept formula

y=1x+b

y=x+b

3. plug in for x and y from either coordinate point (just make sure they are from the same point!!)

24=9+b

15=b

4. plug m and b into formula

y=x+15

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Use the points (0, 4) and (-2, 3) to find the slope of the line and give the equation of this line.​
Sauron [17]

Answer:

Choice C:   m=\frac{1}{2}; y=\frac{1}{2} x+4

Step-by-step explanation:

To find your slope do:

\frac{y^2-y^1}{x^2-x^1}

\frac{3-4}{-2-0}=\frac{-1}{-2} =\frac{1}{2}

that's how you get 1/2

4 is just the y-int.

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Alicia's brother is three years younger than twice her age. The sum of their ages is 24. How old is Alicia?
Alborosie
9 because 24 divided by 2 is 12 and 12 subtracted by 3 is 9
5 0
3 years ago
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
SCORPION-xisa [38]

Answer:

(a)See below

(b)I) 0.125  (ii)0.828125   (iii)0.234375   (iv) 0.625   (v)0.65625

Step-by-step explanation:

When an  8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.

The sample space is:

[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]

<u>PART A</u>

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:  

1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64

<u>PART B</u>

I) A prime number

The number of products that gives prime numbers = 8  

The probability that the product is a prime number

=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125

ii) Not a perfect square  

Number of products that results in perfect squares =11

The probability that the product is not a perfect square

=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125

iii) A multiple of 5  

Number of products that are multiples of 5=15

 The probability that the product is a multiple of 5

=\dfrac{15}{64}\\=0.234375

iv) Less than or equal to 21

Number of products which are less than or equal to 21=40

 The probability that the product less than or equal to 21

=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625

v) Divisible by 4 or 6

Number of products divisible by 4 or 6= 42

 The probability that the product is divisible by 4 or 6

=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625

8 0
3 years ago
This is the last one!
elixir [45]
I think is C or D, but I'm not to sure
7 0
3 years ago
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