Will mark brainliest! Please show work.
2 answers:
Answer:
h(x) has the smallest minimum.
Step-by-step explanation:
f(x) = -4sin(x-0.5) + 11
y = sin(x – 0.5) has minima at y = -1.
y = -4sin(x – 0.5) has minima at y = -4.
y = sin(x – 0.5) + 11 has minima at y = 7.
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According to your graph,
g(x) has a minimum at y = 6.
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According to your table,
h(x) has a minimum at y = 5.
Thus, h(x) has the smallest minimum.
The graph below shows the minima of f(x) at y = 7 and the minimum of h(x) at y = 5.
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Answer:
no
Step-by-step explanation:
We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:
hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)
= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35
= 17 22/35 . . . . cm
We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.
17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm
The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so <em>the hole is smaller than the pot</em>.
The pot will not fit into the plant pot holder.
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You can use your calculator to find the free space around the pot by computing ...
20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm
Negative space means the pot is larger than the hole.
