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morpeh [17]
2 years ago
7

If a linear function has the points ​(0​,1​) and ​(5​,8​) on its​ graph, what is the rate of change of the​ function?

Mathematics
1 answer:
Harrizon [31]2 years ago
6 0
A. 7/4
Rate of change is the same as slope, it is how the line has to go to get from the first to the second point. The slope function is y2-y1 / x2-x1. So we end up with 8-1/5-1 making 7/4
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Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___
snow_lady [41]

Answer:

a. 1.2 minutes

b. 0.83 laps

c. 25.2 minutes

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

a. How many minutes per lap is that?

5 laps = 6 minutes

1 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 1 laps

x minute = 6 minutes × 1 laps/5 laps

x laps = 1.2 minutes

Hence, it is 1.2 minutes per lap

b. How many laps per minute is that?

6 minutes = 5 laps

1 minute = x laps

Cross Multiply

6 minutes × x laps = 1 minute × 5 laps

x laps = 1 minute × 5 laps/6 minutes

x laps = 0.8333333333 laps

Hence, it is 0.83 laps per minute.

c. If Lin runs 21 laps at the same rate,

5 laps = 6 minutes

21 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 21 laps

x minute = 6 minutes × 21 laps/5 laps

x laps = 25.2 minutes

Hence, it takes her 25.2 minutes

3 0
3 years ago
What binomial do you have to add to the polynomial 2x^2+3y^2-5xy+1 to get the following?
Contact [7]

Binomial -3y^{2}+5xy when added to polynomial 2x^{2} +3y^{2} -5xy+1  gives  polynomial  that does not contain the variable y .

<h3>What is binomial?</h3>

A mathematical expression consisting of two terms connected by a plus sign or minus sign .

Example: x + 2 is a binomial, where x and 2 are two separate terms.

<h3>What is polynomial?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer

According to the question

polynomial 2x^{2} +3y^{2} -5xy+1

when added with  -3y^{2}+5xy  

= 2x^{2}+1   (as 3y^{2} -5xy got cancelled )

that does not contain the variable y

Hence, Binomial -3y^{2}+5xy when added to polynomial 2x^{2} +3y^{2} -5xy+1  gives that does not contain the variable y .

To know more about Binomial and polynomial here :

brainly.com/question/1698358

# SPJ2

3 0
1 year ago
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Delicious77 [7]

Answer:

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Step-by-step explanation:

y - y1 = m(x - x1)

m = (5-1)/(-2-2) = 4/-4 = -1

Using any one coordinate, construct

y - y1 = m(x - x1)

y - 1 = -1(x - 2)

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3 years ago
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Ronch [10]
The answer is B; at least, I am pretty sure that's the answer.
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.27(x) = 81

x = 81/.27

x=300 people
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