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nadya68 [22]
3 years ago
10

Here's a graph of a linear function. Write the equation that describes that function.

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

Answer:

y = 0.5x + 3

Step-by-step explanation:

First consider the slope of this line. If two points that lie on this line are ( 0, 3 ) - ( which is supposedly the y - intercept ), and ( 2, 4 ) take that change in y / change in x to derive the slope;

( 0, 3 ), ( 2, 4 )\\\\\\Slope = 3 - 4 / 0 - 2,\\Slope = - 1 / - 2\\Slope = 1 / 2 \\\\Slope = 0.5

I did mention earlier that the y - intercept was found to be 3. If that is so, taking the equation in point - slope form, we can tell the equation of the line through the following steps;

y = mx + b,\\m = slope, \\b = y - intercept\\\\Equation, y = 0.5x + 3

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The scale on the architectural plans for a new house is 1 in. equals 4 ft. Find the length and width (in ft) of a room that meas
Kobotan [32]

Answer:

length:24 ft and Width:36 ft

Step-by-step explanation:

multiply 4 and 6 to get the length then multiply 4 and 9 to get the width

5 0
3 years ago
(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g
Damm [24]

Answer:

<h2>They both have the same slope</h2>

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

<em>This shows that both functions have the same slope.</em>

3 0
3 years ago
If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube?
mr_godi [17]

Answer:

A) 72cm

Step-by-step explanation:

Hope this helped

:)

4 0
3 years ago
Read 2 more answers
The price of a CD on sale is 0.65c, where c is the original price of the CD. What does that mean?
Nuetrik [128]
Hey there!

If the price of a CD on sale is 0.65c, then 0.35 was taken off of the original price. You can find this if you subtract 0.65 from 1, or 65% from 100%. 

Your answer would not be your second option or your fourth option, since the price you're paying is 0.65 of the original price and you are getting 0.35 of the price off. Also, your third option wouldn't be correct either, since 0.35 isn't being added on top of the total price. 

Your answer is your first option. 

Hope this helped you out! :-)
6 0
3 years ago
Help me please, thank you!
elena-s [515]
A is 3 square root 2
Since 3*6 is 18
Find the factors of 18
So we have 9 and 2
9 is a perfect square so it’s 3 with 2 inside radical
7 0
3 years ago
Read 2 more answers
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