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ss7ja [257]
2 years ago
6

Find the equation of the linear relationship.

Mathematics
1 answer:
rosijanka [135]2 years ago
3 0

Answer:

y = -3x + 150

Step-by-step explanation:

2 points on the graph:

(30, 60) and (40, 30)

Slope:

m=(y2-y1)/(x2-x1)

m=(30 - 60)/(40 - 30)

m= (-30)/10

m= -3

Slope-intercept:

y - y1 = m(x - x1)

y - 60 = -3(x - 30)

y - 60 = -3x + 90

y = -3x + 150

You might be interested in
A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?
nalin [4]

Answer:

The correct answer is 12.8 J.

Step-by-step explanation:

To solve this problem, we must remember how to calculate the kinetic energy of an object.

The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object.  If we plug in the given values into the formula, we get:

K = 1/2 * m * v^2

K = (1/2) * (0.40) * (8.0)^2

Our first step is to square the velocity.  After doing this step, we get the following:

K = (1/2) * (0.40) * (64)

Finally, we can perform the multiplication, to get:

K = 12.8

The unit for kinetic energy is joules, so the correct answer is 12.8 J.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Della by tree seedling that was 2 1/4 feet tall during the first year it grew 1 1/6 ft after two years it was 5 ft tall how much
jasenka [17]
<h2>Greetings!</h2>

Answer:

\frac{19}{12} feet

Step-by-step explanation:

First, we need to find the height after one year:

2.25 + 1 1/6 = \frac{41}{12}

Now to find the amount in the second year, we can subtract the above amount from 5:

5 - \frac{41}{12} = \frac{19}{12}

So in the second year it grew \frac{19}{12} feet


<h2>Hope this helps!</h2>
8 0
3 years ago
SoIve the system of equations by elimination. (Addition)<br> 1)-2x + 4y = -22<br> 2x + 8y = –26
Rufina [12.5K]

Answee:

We have these two equations:

-2x +4y =-22

2x + 8y -26

We need to try to get the same number multiplying both x or y, I think we can make the 2 of the first equation negative, for that, we multiply all the equation by -1:

2x + 8y =-26  ---- -2x - 8y =26

Now we have this:

-2x +4y = -22

-2x -8y = 26

Now e substract both equations:

-2x - (-2x) +4y -(-8y) = -22-26

12y = -48

Y = -48/12 = -4

And we replace to get x

-2x + 4y = -22

-2x +4*(-4)=-22

-2x - 16 = -22

x= -6/-2 =3

6 0
3 years ago
Read 2 more answers
-2(x – 3) - 2<br> simplify the expression
Inessa [10]

Answer:

-2x+4

Step-by-step explanation:

-2(x-3)-2

-2x+6-2

-2x+4

4 0
2 years ago
PLEASE HELP ME!! #4 Suzan took out a $700 loan from the bank. At the end of 5 years, she pays back the principal, plus $105in si
Veseljchak [2.6K]

Answer:

3%

Step-by-step explanation:

105 = 700 x r x 5

r = 105 / ( 700 × 5 ) = 0.03

r = 0.03

0.03 in percent is 3%

3 0
2 years ago
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