Work:
Answer:
The local service center advertises that it charges a flat
1 answer:
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Answer:
Step-by-step explanation:
When comparing to standard form of a parabola:
Vertex form of a parabola is: , which is what we are trying to convert this quadratic equation into.
To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using: .
Substitute in -8 for b and 2 for a.
Simplify this fraction.
The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.
Simplify.
We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).
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.
_____
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.
