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Makovka662 [10]
3 years ago
7

Does y=2x-4 represent a linear function?

Mathematics
2 answers:
andre [41]3 years ago
7 0
Yes!
If x doesn’t have any power, it is a linear function
For example:
(x^2 is a quadratic function)
(x^3 is a cubic function)
Tanya [424]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

This equation is in slope-intercept form, y=mx+b. If graphed, it would be a line.

Hope this helps!

You might be interested in
Form quadratic functions given the following information:
nignag [31]

Answer:

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

or

f(x)=-\frac{4}{7}(x^2-6x+7)

Step-by-step explanation:

we have

f(3+√2 )=f(3− √2 )=0

so

x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation

The quadratic equation in factored form is equal to

f(x)=a(x-x1)(x-x2)

substitute

f(x)=a(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Find the value of the coefficient a

Remember that

f(1)=−8

so

For x=-1 -----> f(x)=-8

substitute

-8=a(-1-(3+\sqrt{2}))(-1-(3-\sqrt{2}))

solve for a

-8=a(-4-\sqrt{2}))(-4+\sqrt{2}))

apply difference of squares

-8=a(14)

a=-\frac{4}{7}

therefore

f(x)=-\frac{4}{7}(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

simplify

Applying distributive property

f(x)=-\frac{4}{7}(x^2+\sqrt{2}x-3x-\sqrt{2}x-2+3\sqrt{2}-3x-3\sqrt{2}+9)

f(x)=-\frac{4}{7}(x^2-6x+7)

5 0
4 years ago
The plot below shows the amount of liquid remaining in 555 basketball players' water bottles after practice. All measurements ar
vlabodo [156]

Answer:

3 times

Step-by-step explanation:

From the dot plot given ; distance between each tick mark is 1/4

Bottle with least water = 1/4

Bottle with most water = 3/4

Number of times bottle with most is more Than bottle with least :

All we need to do is divide the greatest by the least :

That is :

3/4 ÷ 1/4

3/4 * 4/1 = 12 / 4 = 3

3 times

3 0
3 years ago
I=$26.25I=$26.25, P=$500P=$500, t=18 t=18 months
Travka [436]
Next time, please include the directions for the problem you post.  Here it appears that you have given the values of I, P and t two times each.  
Unfortunately, I have to guess what you're looking for.
 
Assuming that I=$26.25 is the interest earned on Principal P=$500, and that t is the length of time over which the Principal earns interest,

I=Prt.  With I, P and t given, it's obvious that our job is to find the annual interest rate, r.      So, from I=Prt, we get

$26.25 = $500 (r) (1.5 years)            Solve this for the interest rate, r.  
Express r both as a decimal fraction and as the equivalent percentage. 
7 0
4 years ago
What is the equation of the line shown in the graph?
Gennadij [26K]
I hope this helps you




y=1
8 0
3 years ago
identify the transformation taking place in this function. y = x^2 +8. a. translation down 8 units. b. translation left 8 units.
adelina 88 [10]

Answer:

D. if we are describing how to get from y=x^2 to y=x^2+8.

Step-by-step explanation:

If we are describing how to get from y=x^2 to y=x^2+8, then the transformation is just a translation of 8 units up.

If the equation was y=x^2-8, it would have been down 8 units.

If the equation was y=(x-8)^2, it would have been right 8 units.

If the equation was y=(x+8)^2, it would have been left 8 units.

3 0
3 years ago
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