Which of the following describes the decimal .3? Repeating decimal Terminating decimal Circulating decimals Repeating factor? Th
2 answers:
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Answer: Option D is correct. The function equation y= -16x^2 + 9x + 4
is non-linear.
Step-by-step explanation:
It is not linear because it is a quadratic function.
You can see this on the graph in the photo below:
, Hope this helps :)
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Answer:
B
Step-by-step explanation:
The equation represents the total number of kittens, where
represents <u>the number of weeks that have passed since Samantha started counting.</u>
This means options C and D are false, because they say <u>the total number of kittens that have come into the shelter</u>.
represents the number of weeks, weeks can be counted 0 weeks, first week, second week and so on, so option B is true (the domain is all whole numbers) because 0, 1, 2, 3, ... are whole numbers.
Number of weeks can't be a negative number. Since "real numbers" include negatives, therefore, we exclude option A.
Answer:
Step-by-step explanation:
y = ax² + bx + c
~~~~~~~
(4, - 2), (8, 6), (2, 0)
a(4²) + b(4) + c = - 2
a(8²) + b(8) + c = 6
a(2²) + b(2) + c = 0
16a + 4b + c = - 2 .............. <em>(1)</em>
64a + 8b + c = 6 ............... <em>(2)</em>
4a + 2b + c = 0 ................. <em>(3)</em>
a = 0.5 ; b = - 4 ; c = 6
<em>y = 0.5x² - 4x + 6</em>
Part A: (0, 6), (6, 0)
Part B: (0,6)
Part C: (6, 0)
Part D: [ 4, ∞ )
Given:
The height of a golf ball is represented by the equation:
To find:
The maximum height of of Anna's golf ball.
Solution:
We have,
Differentiate with respect to x.
For critical values, .
Differentiate y' with respect to x.
Since double derivative is negative, the function is maximum at .
Substitute in the given equation to get the maximum height.
Therefore, the maximum height of of Anna's golf ball is 6.25 units.