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4 years ago

Y=3x-8 in function notation

Mathematics

1 answer:

julia-pushkina [17]4 years ago

3 0

To write it in function notation you'll convert it into a function, substituting y by f(x):

y = 3x - 8 = f(x) = 3x - 8

Hope it helped,

BioTeacher101

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Angel made a quart of lemonade angel poured 1/3 Court of lemonade equally into 4 cups how many quarts are in each cup

ikadub [295]

1/3 divided by 4
1/3 divided by 4/1
1/3*1/4 = 1/12

1/12 quarts are in each cup

8 0

3 years ago

Given GHI G (4,-3), H (-4,2), and I (2,4), find the perpendicular bisector of HI in standard form.

Olin [163]

Answer:

$3x+y=0$

Step-by-step explanation:

step 1

Find the slope of segment HI

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

H (-4,2), and I (2,4)

substitute the given points

$m=\frac{4-2}{2+4}$

$m=\frac{2}{6}$

simplify

$m=\frac{1}{3}$

step 2

Find the slope of the perpendicular line to segment HI

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=\frac{1}{3}$

$m_2=-3$

step 3

Find the midpoint segment HI

we know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

H (-4,2), and I (2,4)

substitute

$M(\frac{-4+2}{2},\frac{2+4}{2})$

$M(-1,3)$

step 4

we know that

The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI

Find the equation of the perpendicular bisector of HI in point slope form

$y-y1=m(x-x1)$

we have

$m=-3$

$M(-1,3)$

substitute

$y-3=-3(x+1)$

step 5

Convert to slope intercept form

$y=mx+b$

Isolate the variable y

$y-3=-3x-3$

$y=-3x-3+3$

$y=-3x$

step 6

Convert to standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

$y=-3x$

Adds 3x both sides

$3x+y=0$

see the attached figure to better understand the problem

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4 years ago

How many seats do they still need to replace

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3 years ago

What is the ratio of 2:3?

AfilCa [17]

If there is 20 apples to 10 pears. you could say this as a ratio of 20:10 and then simplify this to 2:1.
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3 years ago

Mathematics!! Algebra

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4 years ago

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