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2 years ago

Write an equation to represent function A

Mathematics

1 answer:

maw [93]2 years ago

6 0

Answer:

y = 312x + 2

Step-by-step explanation:

According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).

(x, y)

(0, 2) ---> y-intercept (b)

Now that we have found the y-intercept, we will now find the slope by using its formula.

Slope formula:-

m = y2 - y1 / x2 - x1

Pick two random (x, y). I will pick the first and last pairs.

(0, 2) and (4, 1250)

Now plug these two pairs in the formula.

m = y2 - y1 / x2 - x1

m = 1250 - 2 / 4 - 0

m = 1248 / 4

m = 312

This means that the slope (m) is 312. Now put that in y = mx + b form.

y = mx + b

y = 312x + 2

Both of the forms are the same. Hope this helps, thank you :) !!

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A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?

grigory [225]

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by <u>distance needed to travel by the speed</u>

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore <u>the final answer is 12.5 hours</u>

I hope this helps :)

7 0

2 years ago

How do I write the number 17,497,403 well i know how to do it inside standard but my equation says “Write the number Seventeen m

MrRa [10]

Step-by-step explanation:

Standard form is of course 17,497,403.

Expanded form is:

10,000,000 + 7,000,000 + 400,000 + 90,000 + 7,000 + 400 + 3

7 0

3 years ago

A piggy bank contains 3 pennies, 4 nickels, 4 dimes and 9 quarters. Two coins

xeze [42]

Answer:

1325/10000

Explain Step By Step Answer

5 0

2 years ago

a particle moves along the y-axis with a motion defined by the equation s(t)=lnt/t for t>0. Find the velocity at t=2

aliina [53]

The velocity would be 0.3466

5 0

3 years ago

What is an equation of the line that passes through the point (2,−6) and is parallel to the line x-2y=8

lana [24]

Answer:

$y=\frac{1}{2}x-7$ , or x-2y=14

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8

First, we need to find the slope of x-2y=8, since parallel lines have the same slopes

We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line

Start by subtracting x from both sides

-2y=-x+8

Divide both sides by -2

y= $\frac{1}{2}x$ -4

The slope of the line x-2y=8 is 1/2

It's also the slope of the line parallel to it.

Since we know the slope of the line, we can plug it into the equation for slope intercept form:

$y=\frac{1}{2}x+b$

Now we need to find b.

As the equation of the line passes through (2, -6), we can use it to help solve for b

Substitute -6 as y and 2 as x:

$-6=\frac{1}{2}(2)+b$

Multiply

-6=1+b

Subtract 1 from both sides

-7=b

Substitute -7 as b into the equation:

$y=\frac{1}{2}x-7$

The equation can be left as that, or you can convert it into standard form if you wish.

In that case, you will need to move 1/2x to the other side:

$-\frac{1}{2}x+y=-7$

A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).

So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a

x-2y=14

Hope this helps!

8 0

2 years ago