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Vika [28.1K]
3 years ago
6

The difference between two integers is at most 16. the smaller integer is 12. what is the larger integer

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
<span>The difference between two integers is at most 16
x1 - big integer
x2- small integer
x_1 -x_2  \leq 16

</span><span>the smaller integer is 12
so
x2 = 12

substitution
</span>
<span>x_1 -12  \leq 16

solve for x1

however, note the fact larger
thus meaning
x1 > x2 applies to this problem
</span>
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allochka39001 [22]

Answer:

4,560 pounds of soil

Step-by-step explanation:

Ok, based on the information given we are assuming that Persephone's garden is in the shape of a square or rectangle and the measurements 8 by 19 are in feet. That being the case we first need to calculate the square footage of the garden and we do this by multiplying the length by the width like so...

8 ft * 19 ft = 152 sq. ft.

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3 years ago
The linear function ƒ(x) = 5x − 8 has a slope of:
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Answer:

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Step-by-step explanation:

5

The slope of y = 5x - 8 is 5.

Since this equation is already in slope-intercept form the slope of the graph is the coefficient of x, 5.

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Read 2 more answers
What equation in slope-intercept form represents the line that passes through the points
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<h2>Answer:    y = - x + 1 </h2>

<h3>Step-by-step explanation: </h3>

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       The question gives us two points, (-3, 4) and (2, -1), from which we can find the slope and later the equation of the line.

 

<u>Finding the Slope</u>    

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

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<u>Finding the Equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

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we could also transform this into the slope-intercept form ( y = mx + c) by making y the subject of the equation:  

                                   since  y + 1 = - (x - 2)                                                    

                                                ∴  y = - x + 1

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

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Percentage increase= increase in amount ÷ original amount

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