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3 years ago

Write the equation of the line if fully simplified slope in intercept form

Mathematics

1 answer:

viva [34]3 years ago

8 0

Answer:

As we have seen before, you can write the equation of any line in the form of y = mx + b . This is the so-called slope intercept form, because it gives you two important pieces of information: the slope m and the y-intercept b of the line. You can use these values for linear interpolation later.

Step-by-step explanation:

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The parabola with equation $y=ax^2+bx+c$ is graphed below:

Mashutka [201]

Answer:

$m-n=2$

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

$f(x)=a(x-h)^2+k$

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

$f(x)=a(x-2)^2-4$

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

$12=a((4)-2)^2-4$

Solve for a. Subtract within the parentheses:

$12=a(2)^2-4$

Add 4 to both sides:

$16=a(2)^2$

Square:

$16=4a$

Solve:

$a=4$

Thererfore, the value of a is 4.

So, our function is:

$f(x)=4(x-2)^2-4$

Now, let’s find our roots. Set the equation to 0 and solve for x:

$0=4(x-2)^2-4$

$4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1$

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0

3 years ago

Read 2 more answers

wyatt hiked 6 miles in 2 hours. at this same rate, what is the total number of miles wyatt could hike in 9 hours?

kramer

The answer to this question is Wyatt could walk 27 miles in 9 hours.

3 0

4 years ago

Read 2 more answers

Blake thinks that the mass of a baby mouse will increase similar to what is shown on the

ira [324]

Answer:

Check below for a lucid explanation.

Step-by-step explanation:

The independent variable is the variable whose variation does not depend on another external variable. It is the variable on the x-axis which in this case is the growth of the baby.

Note: The diagram you attached to this question does not include the calibration on the x - axis which will give us the independent variable at point

This, nevertheless, is a very simple task. Locate the point A on the graph and trace it downwards to the x - axis, the value written where the line coincides with the x -axis is the value of the independent variable( growth of the baby) at point A.

6 0

3 years ago

Answer PLEASE (NO LINKS)

uranmaximum [27]

Answer:

The second answer. If I got it wrong tried my best

Step-by-step explanation:

brainliest

4 0

3 years ago

Jennifer brought $ 24.75 to the baseball game. She spent $ 12.45 on drinks and snacks. How much money does she have left over?

Arturiano [62]

If you do 24.75-12.45 you get 12.30. So there you go!

5 0

4 years ago