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mylen [45]
2 years ago
9

Write an equation for the line that passes through the given point 1. (4,-1), (0.5)

Mathematics
1 answer:
mixas84 [53]2 years ago
4 0
Equation - F(x)= -x+5
Use the formula
y2-y1 5-1 4
--------- --------- ------ M = -1
X2-x1 0-4 -4


than Calculate the y-axis intercept(B) by using f(x)=mx+b
Insert -1 for m, 4 for x and 1 for f(x).

1=-1*4+1*b | Swap both sides of the equation.
1*b+-4=1 | +4
1*b=5

So, the y-axis intercept is at 5
Therefore, the equation of the function is f(x)=-x+5
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The function h is defined as follows.
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Answer:

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y = a(x-h)2 + k            standard form

y = 5x2 - 4                  original equation

y = 5(x-0)2 - 4            re-written in standard form

h = 0     k = -4

Four (4) units up is k + 4--->-4 + 4 = 0.

Therefore, f(x) = 5x2 + 0--->f(x) = 5x2.

Step-by-step explanation:

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2 years ago
Among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a ma
scoundrel [369]

Answer:

Step-by-step explanation:

Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.

From the above we find that

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315+213-123 =405

Out of 500 students 405 have taken either Math or Economics

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= 405-123 = 282

3 0
3 years ago
The area of a rectangular pool is 6365 m2.<br> If the length of the pool is 95 m, what is its width?
PilotLPTM [1.2K]

Answer:

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3 years ago
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AveGali [126]

Answer:

Step-by-step explanation:

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Answer:

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