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Liono4ka [1.6K]
3 years ago
8

A line includes the points (4, 8) and (3, 5). What is its equation in slope-intercept form? Write your answer using integers, pr

oper fractions, and improper fractions in simplest form
Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

A line includes the points (4, 8) and (3, 5) whose equation in slope-intercept form will be :

y=3x-4

Step-by-step explanation:

The point slope form: (x_1,y_1) and(x_2,y_2)

(y-y_1)=m(x-x_1)

where : m = Slope of the line

m=\frac{y_2-y_1}{x_2-x_1}

A line includes the points (4, 8) and (3, 5).The equation of the line will be:

m=\frac{5-8}{3-4}=3

(y-8)=3\times (x-4)

y-8=3x-12

y=3x-4

(y=mx+c), where c is intercept at y axis.

The above equation represents slope-intercept form of the line.

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To save money, you put $200 in your bank account each week. After saving for 4 weeks, you have $1,700 dollars in your account. W
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Answer: y - 1700 = 200(x-4)

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3 years ago
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In two or more complete sentences, explain how to use ordered pairs of points in x) = 2x + 5 and g(x)=
Naddika [18.5K]

Answer:

see the explanation

Step-by-step explanation:

we have

A(x)=2x+5

Find the inverse of A(x)

Let

y=A(x)

y=2x+5

Exchange the variables x for y and y for x

x=2y+5

Isolate the variable y

2y=x-5

y=\frac{x-5}{2}

Let

g(x)=y

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<em>Explanation</em>

For x=1

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A(1)=2(1)+5=7

The point (1,7) is a solution for A(x)

That means-----> The point (7,1) is a solution for the function inverse g(x)

Verify

For x=7

g(7)=\frac{7-5}{2}=1

The point (7,1) is a solution for g(x)

therefore

A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)

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3 years ago
A school is preparing fruit baskets for a local nursing home. There are 162 apples, 108 oranges, and 180 bananas. If the baskets
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To solve this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we obtain:

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 180= (2^2)(3^2)(5)

 We choose the common numbers with their lowest exponent:

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 To know how many apples, oranges and bananas are in each basket, we must divide the greatest number of them that can be made between the total amount of apples, oranges and bananas, as shown below:

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 So, there are 9 apples, 6 oranges and 10 bananas in each basket.


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3 years ago
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Answer:

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