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wel
3 years ago
7

Cassidy has 10 feet of string. She uses 5/8 feet of string for each bracelet she makes. Does she have enough string to make 15 b

racelets? Estimate 5/8 multiplied by 15 to solve the problem. Then explain how you made your estimate and why you chose that method of estimation.
Mathematics
1 answer:
slava [35]3 years ago
3 0
5/8 * 15 = 9.375000 exactly. The closest number to 9 is 3, which is below 5. This means to round the number down to the number it is closer to. 9.375 is closer to 9 than any other number, so we round it down to 9. Since Cassidy has 10 feet of string, and she uses the same amount for each bracelet, we can assume that she has enough to make 15 bracelets, possibly even 16.
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An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro
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Please help me with this math!
wel

Answer:

Please check the explanation.

Step-by-step explanation:

Given the polynomial function

f\left(x\right)\:=x^3+2x^2-16x-32

Let us determine the factors by solving

\:\left0\right\:=x^3+2x^2-16x-32\:

\left(x+2\right)\left(x+4\right)\left(x-4\right)=0

Using the zero factor principle:

if  ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+2=0\quad \mathrm{or}\quad \:x+4=0\quad \mathrm{or}\quad \:x-4=0

Thus, (x+2) (x+4) and (x-4) are the factors of the polynomial function.

Therefore,

YES

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And (x-2) (x+6) are not the factors of the polynomial function.

Therefore,

YES

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