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postnew [5]
3 years ago
15

Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0

The equation y=2x+2 is a function

Explanation:

Given that the graph contains the coordinates (-1,0), (0,2) , (1,4) and (2,6)

We need to determine whether the equation y=2x+2 is a function.

To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.

Let us substitute the coordinate (-1,0) in the equation y=2x+2

Thus, we have,

0=2(-1)+2

0=-2+2

0=0

Thus, the coordinate (-1,0) satisfies the equation y=2x+2

Substituting the coordinate (0,2) in the equation, we have,

2=2(0)+2

2=2

Thus, the coordinate (0,2) satisfies the equation y=2x+2

Substituting the coordinate (1,4) in the equation y=2x+2

4=2(1)+2

4=4

Thus, the coordinate (1,4) satisfies the equation y=2x+2

Substituting the coordinate (2,6) in the equation, we get,

6=2(2)+2

6=6

Thus, the coordinate (2,6) satisfies the equation y=2x+2

Hence, the coordinates (-1,0), (0,2) , (1,4) and (2,6) satisfies the equation y=2x+2

Thus, the equation y=2x+2 is a function.

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bixtya [17]
<h3><em>Hey! </em></h3>

<u>let the numbers be n and m</u>

<u>n+m=65</u>

<u>n=4m</u>

<em>So when we put our work in:</em>

<u>4m+m=65</u>

<u>5m=65</u>

<u>m=13</u>

<u>n=52</u>

So therefore your two numbers are 52 and 13!

<em>Hope this helped! °ω°</em>

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Answer:

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John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la
Troyanec [42]

Answer:

d=5t+20

Step-by-step explanation:

The equation that will model this situation will be of the form

d=mt+b

where t is the time in hours john has traveled since the gas station, and  d is the distance.

Now we know that John has already traveled 20 miles when he is at the gas station, this means at t=0, d=20; or

20=m(0)+b

\boxed{b=20}

Thus we have

d=mt+20.

Now we need to figure out m.

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5

\boxed{m=5}

Now we have the full equation:

\boxed{d=5t+20}

8 0
2 years ago
If the two lines below are perpendicular and the slope ofthe red line is -, what is the slope of the green line?51015-5-5-105
inysia [295]

If two lines are perpendicular, then the product of their slopes is -1:

m_r\cdot m_g=-1...(1)

From the problem, we identify:

m_r=-\frac{4}{3}\text{  \lparen the slope of the red line\rparen}

Then, using the equation (1), we calculate the slope of the green line:

\begin{gathered} -\frac{4}{3}\cdot m_g=-1 \\  \\ \therefore m_g=\frac{3}{4} \end{gathered}

Answer: Option D

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