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3 years ago

Which of the following equations represents a linear function?

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

Answer:

Following equations represents a linear function:

y = 6x

y = 4x - √2

x – 4y = 6

Step-by-step explanation:

We know that a linear function is of the form

where m is the rate of change or slope and b is the y-intercept.

Please note that y = mx+b represents a straight line because the degree of a linear function is always 1.

Now, let us check whether the given functions represent the linear functions or not.

Checking y = 6x

y = 6x

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Pre-Calc help:

stepladder [879]

Answer:

$8x^2+8y^2-79x-32y+95=0$

Step-by-step explanation:

Let the equation be : $x^2+y^2+2gx+2fy+c=0$

The point (1,1) must satisfy this equation.

$1^2+1^2+2g*1+2f*1+c=0\\2g+2f+c=-2---(1)$

Similarly, the point (1,3) must satisfy:

$1^2+3^2+2g*1+2f*3+c=0\\1+9+2g+6f+c=0\\2g+6f+c=-10---(2)$

Also for the point (9,2), we have:

$9^2+2^2+2g*9+2f*2+c=0\\81+4+18g+4f+c=0\\18g+4f+c=-85---(3)$

Solving the equations (1), (2) and (3) simultaneously, we get:

$g=-\frac{-79}{16},f=-2,c=\frac{95}{8}$

We Substitute this values to get:

$x^2+y^2+2(\frac{-79}{16})x+2(-2)y+\frac{95}{8}=0$

$x^2+y^2-(\frac{79}{8})x-4y+\frac{95}{8}=0$

Multiply through by 8 to get:

$8x^2+8y^2-79x-32y+95=0$

8 0

3 years ago

Michael spent 4976. We exchange the Kuna she had left for US dollars. The exchange rate was one Kuna two $0.17. How many US doll

PIT_PIT [208]

Well, we need to know how much was money the individual started with.

5 0

3 years ago

Read 2 more answers

Help solving one more question please!Mason spent $15.85 for 3 notebooks and 2 boxes of markers.The boxes of markers cost $3.95

inn [45]

Each notebook would be 68 cents because if you divide 15.85 into 3 you will get 2 cents then you add 1.23 then subtract .75

7 0

3 years ago

Convert 88% to a fraction. a 1/8 b 22/25 c 23/50 d 22/55

Elena L [17]

Answer:

The correct answer is B 22/25

Step-by-step explanation:

hope this helps u ;)

7 0

3 years ago

What is 1 5/6 + 1/2 ? a. 14/6 b. 17/12 c. 17/6 d. 25/12

Vladimir79 [104]

Make bottom numbers same

convert to improper fraction

1 and 5/6=1+5/6=6/6+5/6=11/6

1/2 and 11/6
2 times 3=6
1/2 times 3/3=3/6

1/2+11/6=3/6+11/6=(4+11)/6=14/6

answer is A

3 0

3 years ago