Anywhere from 7 - 13 hours
The slope is the coefficient of x, which is 10, and the y-intercept is the constant, which is 5.
The extreme value of y = (x - h)² - c is the vertex of the equation.
<h3>What are extreme values of a function?</h3>
The extreme values of a function are either the maximum or minimum values of the function.
<h3>The equation of a parabola in vertex form</h3>
The equation of a parabola in vertex form with vertex (h', k) is given by
y = a(x - h')² + k and its extreme values are
- if a > 0 (h', k) is a minimum point and
- if a < 0 (h', k) is a maximum point.
Since y = (x - h)² - c is the equation of a parabola in vertex form, comparing with y = a(x - h')² + k,
So, the cooordinates of the vertex of y = (x - h)² - c is (h, -c).
Now, since a = 1 > 0, (h, -c) is a minimum point.
So, the extreme value of y = (x - h)² - c is the vertex of the equation.
Learn more about extreme value of a function here:
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Answer:
Emilio will have both activities again on the same day after 90 days from this Saturday.
Step-by-step explanation:
<em>To solve this question list the multiples of 30 and 9 to find the first common multiple because the two activities will happen again in </em><em>a number divisible by both 30 and 9.</em>
∵ The multiples of 30 are: 30, 60, 90, 120, ............
∵ The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, .....
→ The common multiple is 90
∴ The common multiple of 30 and 9 is 90
→ That means the activities will meet again after 90 days from
this Saturday
Emilio will have both activities again on the same day after 90 days from this Saturday.
Answer:
the 3rd option
Step-by-step explanation:
Because the domain (x) repeats the number 2 of the ordered pairs: (<u>2</u>,3) and (<u>2</u>,9)