Answer:
x = -86
Step-by-step explanation:
60+ (-86)= -26
By definition, a scatter plot is a diagram generally used to compare two setz of data. As you can see, in this exercise asked for the relationship between "Age (years)" at the x axis and "Lenght (in)" at the y axis. Therefore, to plot the data given in the problem, you should order the numbers in a table, as you can see in the figure attached. Then, you can plot the following points:
(3,13); (3,15); (2,10); (5,17); (4,17); (5,19); (7,23); (6,18); (8,21); (6,19)
You can see the completed scatter plot in the figure attached.
<h3>
Answer: True</h3>
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Reason:
Replace x with 4 in each inequality
x > 0 becomes 4 > 0 which is true
x < 7 becomes 4 < 7 which is also true
Both inequalities are true, which confirms x = 4 is a solution.
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If you wanted, you can think of x > 0 as 0 < x
Then we have 0 < x and x < 7 become 0 < x < 7
Replacing x with 4 has 0 < 4 < 7 as a true statement.
This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.
Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,
- where a = start value, b = growth factor, t = time ( <em>variable quantity</em> )
____
Thus, the function
can model this problem. The forest after t years should have P( t ) number of pine trees remaining.
Answer: Ron take approximately 4.2 hours to make 100 crusts alone.
Step-by-step explanation:
Since we have given that
Number of hours taken by Ron before Harold = 1.2 hours
Number of hours taken by Ron and Harold together = 1.8 hours
We need to find the number of hours taken by Ron alone i.e. 'x'.
Let number of hours taken by Harold alone be '1.2-x'.
Let work done by Ron alone = ![\dfrac{1}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx%7D)
Work done by Harold = ![\dfrac{1}{x-1.2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx-1.2%7D)
According to question, we get that
![\dfrac{1}{x}+\dfrac{1}{x-1.2}=\dfrac{1}{1.8}\\\\\dfrac{x-1.2+x}{x(x-1.2)}=\dfrac{1}{1.8}\\\\\dfrac{2x-1.2}{x^2-1.2x}=\dfrac{1}{1.8}\\\\3.6x-2.16=x^2-1.2x\\\\x^2-1.2x-3.6x+2.16=0\\\\x^2-4.8x+2.16=0\\\\x=0.5,4.2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx%7D%2B%5Cdfrac%7B1%7D%7Bx-1.2%7D%3D%5Cdfrac%7B1%7D%7B1.8%7D%5C%5C%5C%5C%5Cdfrac%7Bx-1.2%2Bx%7D%7Bx%28x-1.2%29%7D%3D%5Cdfrac%7B1%7D%7B1.8%7D%5C%5C%5C%5C%5Cdfrac%7B2x-1.2%7D%7Bx%5E2-1.2x%7D%3D%5Cdfrac%7B1%7D%7B1.8%7D%5C%5C%5C%5C3.6x-2.16%3Dx%5E2-1.2x%5C%5C%5C%5Cx%5E2-1.2x-3.6x%2B2.16%3D0%5C%5C%5C%5Cx%5E2-4.8x%2B2.16%3D0%5C%5C%5C%5Cx%3D0.5%2C4.2)
x-1.2 does not satisfied with x = 0.5 so, x = 4.2
Hence, Ron take approximately 4.2 hours to make 100 crusts alone.