9514 1404 393
Eexplanation:
16. Suppose the roots are α and kα. Then we can write the equation as ...
a(x -α)(x -kα) = 0
ax² -ax(α +kα) +akα² = 0
Comparing to the original equation, we can equate coefficients to get ...
Solving the first for α gives ...
α = -b/(a(1+k)
Substituting into the second, we have ...
c = ak(-b/(a(1+k)))²
Multiplying by a(1+k)², we get ...
(1+k)²ac = kb²
Using k=2 gives ...
9ac = 2b² . . . . . as required
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17. Using the previous result with k=1 (equal roots), we have ...
(1+k)²ac = kb²
4ac = b² . . . . . for k=1
______
<em>Additional comment</em>
We observed that the problems were similar, but had different factors relating the roots. So, we elected to solve the general case, then fill in the specific values for the two problems.
There are 4 suits in a deck of cards: hearts, diamonds, spades, and clubs.
Therefore there are 13 cards of each suit (52/4).
The possibility of choosing a spade in a deck of 52 cards is 13/52 = 25%
So you have to solve for "donation" - so let's call that X. And the things we know are what the grandfather donated, as a function - meaning based upon - Theo's donation. We'll call that Y.
So Y is equal to 1/2 of $4 plus Theo's donation...... 0.5*(x+4).
So... 4.25 = 0.5(X+4), solving for X
4.25=0.5x + 2
-2 -2
2.25=0.5x - divide each side by 0.5 to get x alone.
x = 4.50
Plugging back in:
(4.50 + 4.00)*0.5 = 4.25!
The term "concurrent validity" refers to the relationship between step count with vo2 data.
<h3>Define the term concurrent validity?</h3>
- The degree of agreement between two measurements or assessments made at the same time is displayed by concurrent validity.
- It contrasts a brand-new test with one that has already undergone testing and been shown to be reliable.
You wish to evaluate a new survey that measures employee commitment's concurrent validity. In order to accomplish so, you may:
- Ask the same group of employees to respond to your new survey as well as an earlier (validated) survey. then contrast the outcomes.
- Obtain some staff responses to your new survey. The findings of a popular employee performance indicator, including a performance evaluation, should then be compared to the respondents' responses.
There is a connection between daily step count and fitness level (as collected with vo2 testing)
Thus, the term "concurrent validity" refers to the relationship between step count with vo2 data.
To know more about the concurrent validity, here
brainly.com/question/3195875
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