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pogonyaev
2 years ago
15

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Mathematics
1 answer:
dedylja [7]2 years ago
6 0

Answer:

See below

Step-by-step explanation:

We first have to understand the parts of a y=mx+b equation

y=mx+b

m: Is the slope

b: Is the y-intercept

x: is the x part of (x,y)

y: is the y part of(x,y)

So...

if we use an example ordered pair like (1,3)

and a slope of 2

We can plug everything into y=mx+b to get

1=2*3+b which simplifies to  b= -5

Now, you can use this concept to fill in the blanks below:  

Use the two ordered pairs to find the slope, (m).

Then substitute the slope, and (one set of ordered pairs) into y=mx+b to solve for (b).

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If the independent variable becomes very large what would be the expected change in the dependent variable
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Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Step-by-step explanation:

5 0
3 years ago
Write an inequality to describe the possible values of x.
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Answer:

d

Step-by-step explanation:

x<9+7, and x+7>9

solve

x<16

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2<x<16

6 0
3 years ago
A runner can run 20 miles in 150 mins if she runs at that speed what is her pace in mins per mile
juin [17]

Answer:7.5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Drag and drop the reasons for the steps into each box correctly to solve the equation
Viktor [21]

Yes your answers are correct :)

Step by step review:

First line has product of 5 and (x+2) so product property is good.

2nd line has division so quotient property is good.

3rd line has equal log with base 2 so equality property is good.

4th line has multiplication so that is also good

5th line has distribution of 5 and 7 so distributive property is good.

Your answer is correct.

7 0
3 years ago
EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons o
german

Answer:

y=9x+33

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33

So, there were 33 gallons of water in the tank to begin with.

3 0
3 years ago
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