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Inessa05 [86]
3 years ago
11

Describe the transformations from parent function to y = -3x + 4

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

A slope of -3 and a y-intercept of 4

Step-by-step explanation:

In y = -3x + 4, -3 is negative, meaning that the line faces down. 4 is positive and is the y-intercept, meaning that it is 4 points above the origin (0, 0). -3 also means that for every 1 point that the x coordinate is moved, the line will go down 3 points. For example, (1, 3) is on the line and so is (2, 6).

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)

m=\frac{17.5-24.5}{23-9}

m=-0.5

\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b

y=\left(-0.5\right)x+b

\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5

24.5=\left(-0.5\right)\cdot \:9+b

24.5=\left(-0.5\right)\cdot \:9+b

-4.5+b=24.5

b=29

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29

y=-0.5x+29

Now plug in x=21, we get

y=-0.5*21+29=18.5

Thus the height of the candle after 21 hours is 18.5 centimeters.

7 0
3 years ago
How many solutions does this equation have 3x-2x+4=2+x+2
ch4aika [34]
If you simply it down you get
x + 4 = x + 4
so X can technically be any number
8 0
3 years ago
Answer!!!!!Please!!!!Will do anything!!!
Marizza181 [45]
I think it is the first one

hope this helps
3 0
3 years ago
Read 2 more answers
How to find the measurements of an angles
Mariulka [41]
•sum of the angles in a triangle = 180°
•sum of the angle in a quadrilateral = 360°
•opposite angles are equal
•for two parallel lines and a transversal, corresponding angles are equal, and alternate angles are equal.
•If it already has an angle for a triangle subtract that by 180 and divide it by two you have the other two angle, if you already have two angles on a triangle add those together and subtract from 180 thats the last angle, same for a quadrilateral but you subtract by 360 instead.
4 0
3 years ago
PLS HELP ««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««
Kamila [148]

Answer:

x-intercept (2,0) or x=2

y-intercept (0,-4)  or y=-4

Step-by-step explanation:

4x-2y>8

2x-y>4

2x-4>y

y<2x-4

y=2x-4

when y=0

2x=4

x=2

x-intercept is (2,0)

and y-intercept is (0,-4)

put x=0,y=0

0-0>8

or 0>8 which is not true. so (0,0) does not lie on the graph.

so graph lies  right of the line .

7 0
3 years ago
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