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3 years ago

What is the equation for the graph shown?

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

Answer:

$y = \frac{2}{3}x + 4$

Step-by-step explanation:

The formula for finding equation of straight line is given as :

$y = mx + c$

where :

m = slope

c = y - intercept = 4

To calculate the slope , we will use :

slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$x_{1} = -6$

$x_{2} = 0$

$y_{1}= 0$

$y_{2}=4$

substituting into the formula , we have :

slope = $\frac{4-0}{0-(-6)}$

$m = \frac{4}{6}$

$m = \frac{2}{3}$

substituting into the formula for finding equation of line , we have

$y = \frac{2}{3}x + 4$

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Which expression represents exponential decay

Lelu [443]

Given:

The exponential equations in the options.

To find:

The equation which represents exponential decay.

Solution:

The general exponential equation is

$y=ab^x$

where, a is initial value and b is growth rate.

If b<1, then it is an equation of exponential decay.

If b>1, then it is an equation of exponential growth.

In option A, b=31>1, i.e., exponential growth.

In option B, b=3.1>1, i.e., exponential growth.

In option C, b=0.13<1, i.e., exponential decay.

In option D, b=1.03>1, i.e., exponential growth.

Only $y=10(0.13)^x$ represents exponential decay.

Therefore, the correct option is C.

5 0

3 years ago

1. Name angle 'x' <br><br>2. calculate the size of angle 'y' <br><br>

Burka [1]

Answer:

Step-by-step explanation:

x = 35° (opposite agles)

y = 180 - 35 - 75

y = 70

-----------------------

check 35 + 75 + 70 = 180°

the answer is good

7 0

2 years ago

2/3 x 2 1/3 = what is the awsner to this

topjm [15]

Answer:

1 5/9

Step-by-step explanation:

3 0

3 years ago

A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was

mamaluj [8]

Solving a system of equations, we can see that:

Speed of the private jet: 168 mi/h
Speed of the commercial jet: 192mi/h

<h3>How to find the speeds of each jet?</h3>

Let's define the variables:

P = speed of the private jet.
C = speed of the commercial jet.

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0

2 years ago

Graph the system of inequalities. Then use your graph to determine which points are solutions of the system.

stepan [7]

Answer:

A and E

Step-by-step explanation:

That's where they overlap

4 0

3 years ago