Canteen A, canteen B and Canteen C repeat their lunch means every 12 days, 8days and 10 days respectively. All three canteens se
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Answer:
The correct option is:
On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).
Step-by-step explanation:
Initially, we must understand the translation rules
1) {f(x) + a} signifies f(x) moved up by (a) units
2) {f(x) – a} means f(x) moved down by (a) units
3) {f(x + a)} represents f(x) moved left by (a) units.
4) {f(x – a)} indicates f(x) moved right by (a) units.
Given information:
f(x) = x²
g(x) = (x-5)² + 1
By comparing the transformation from f(x) to g(x) with the translation rules
It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)
Refer to the attached image, which illustrates the graphs of both f(x) and g(x)
As depicted, g(x) intersects (2, 10), has a vertex at (5, 1), and crosses through (8, 10)
Detailed analysis:
The scenario mentions that a mouse covered a total of 3/24 miles over a span of 3 hours. The mouse traveled an identical distance during each hour. To find out how far the mouse went in one hour, we need to divide 3/24 miles by 3. Thus,
Matt's calculation indicates that the outcome is 3/8 hours. When he divides 3/24 by 3, he should take the reciprocal of 3, but he doesn't, resulting in 9 as the numerator and 24 as the denominator. The fraction 9/24 simplifies to 3/8. However, the accurate answer should have been 1/24 hours.