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Yakvenalex [24]
1 year ago
9

The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.

What does the slope of the linear equation that models the data indicate?

Mathematics
1 answer:
tigry1 [53]1 year ago
7 0

The slope of this linear equation that models the data indicate: B. the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

<h3>What is a slope?</h3>

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

Substituting the given points into the formula, we have;

Slope = (5 - 5.5)/(10 - 5)

Slope = -0.5/5

Slope = -0.1.

In conclusion, we can infer and logically deduce that the slope of this linear equation that models the data indicate the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

Read more on linear function here: brainly.com/question/6978079

#SPJ1

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Musya8 [376]

Let

x--------> the amount of gummy candy in pounds

y--------> the amount of jelly beans in pounds

z-------->  the amount of hard candy in pounds

we know that

x+y+z=9 --------> equation 1

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x=2y --------> equation 3  

Substitute equation 3 in equation 1 and equation 2

[2y]+y+z=9 -----> 3y+z=9 ------> equation 4

2[2y]+3y+3z=23 -----> 7y+3z=23 ------> equation 5  

using a graphing tool ------> Solve the system of equations

see the attached figure

the solution is the point (3,2)

z=3\ pounds\\y=2\ pounds

<u>Find the value of x</u>

x=2y

x=2*2=4\ pounds

therefore

<u>the answer is</u>

the amount of gummy candy is 4\ pounds

the amount of jelly beans is 2\ pounds

the amount of hard candy is 3\ pounds

8 0
3 years ago
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Help??( dont forget to explain)
Setler [38]

Answer:

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5 0
3 years ago
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Solve for x: x-3/4=x/10
Olin [163]

Answer:  

fractions form- x= 5/6

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Step-by-step explanation:

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3 years ago
What would the answer be???
Korolek [52]

Answer:

The solution is obtained by adding the two equations.

The solution is: (x, y) = ($ - \frac{2}{3} $, $ - \frac{7}{3} $)

Step-by-step explanation:

We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.

The two equations are:

$ 7x + y = - 7 \hspace{15mm} \hdots (1) $

$ 2x - y = 1 \hspace{15mm} \hdots (2) $

Adding both the equations, we get:

$ 7x + 2x + y - y = - 7 + 1 $

$ \implies 9x = - 6 $

$ \implies x = - \frac{2}{3} $

Substituting the value of 'x', we get the value of y.

We substitute in (2). [Can be substituted in any equation].

We get: y = 2x - 1

$ \imples y = 2\bigg(\frac{-2}{3}\bigg) - 1 $

$ \implies -\frac{4}{3} - 1 $

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So, we get the corresponding values of x and y which is the solution of the two equations.

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9514 1404 393

Answer:

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The number of permutations of 5 things taken 4 at a time is 120.

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There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

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