The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2
<h3>How to determine the regression equation?</h3>
Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.
The x coordinates must be entered into the x values and the y coordinates must be entered into the y values
Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2
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Answer:
D) Abner can spend $60 per month on school clothes and $20 per month on gym clothes and stay within his budget.
Step-by-step explanation:
In the problem it states that Abner will spend 3 times more on (s)school clothes than (g) gym clothes.
So it would appear as s ≥ 3g.
If we plug in $60 as s (school clothes) and $20 as g (gym clothes), the statement is true.
60 ≥ 3(20)
60 ≥ 60. These numbers make the linear system true.
If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥ 3g and plug in each variable from the answer choices until you find the variables that make the linear system true.
<span>You have not added the options, therefore, I cannot provide an exact answer. However, I can help you with the concept.
In any fraction, the <u>denominator cannot be equal to zero</u> because this would make the fraction <u>undefined</u>.
<u>Excluded values</u> are the values that would make the denominator equal to zero.
We are given that the excluded values are 2 and 5, this means that the factors of the denominator are (x-2) and (x-5)
This means that the denominator is x</span>²<span> - 7x + 10
Pick the fraction which has this denominator.
Hope this helps :)</span>
Answer:
240 ml of 1.5% solution and 360 ml of 4% solution should be used.
Step-by-step explanation:
Since a lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid, and the assistant has solutions of 1.5% and 4% in supply at the lab, to determine the number of milliliters of the 1.5% solution and the number of milliliters of the 4% solution that must be used, the following calculations must be performed:
50 x 0.015 + 50 x 0.04 = 0.75 + 2 = 2.75
40 x 0.015 + 60 x 0.04 = 0.6 + 2.4 = 3
600 x 0.4 = 240
Therefore, 240 ml of 1.5% solution and 360 ml of 4% solution should be used.
