Answer:
18 rolls are possible.
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Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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Given equation : y=ax^2
Taking a to the other side we have, x^2=(1/a)*y
This equation describes a parabola that opens up.
When a is negative, the focus is on the negative y-axis, therefore, the parabola opens down.
The answer is a. down.
28 teachers prefer mint.
Step-by-step explanation:
Given,
Total number of teachers = 98
Ratio of teacher that prefer rocky road to mint = 5:2
Let,
x be the original number.
Teachers who like rocky road = 5x
Teachers who like mint = 2x
Dividing both sides by 7
Teachers who prefer mint = 2x = 2(14) = 28
28 teachers prefer mint.
Keywords: ratio, division
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