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Softa [21]
3 years ago
8

Alejandro rounded the number 76.518 to 76.5. Jiro rounded the same number to 76.52. Who is correct? Explain your reasoning

Mathematics
2 answers:
Mazyrski [523]3 years ago
7 0
I believe Jiro is correct because if you want to count change or money in a problem you would need to end the two digits in the hundredths place. If I want to divide 321÷7 to give someone their change, I would round to the nearest hundredth place because that the most of change that could be available in cents.
321÷7=45.857142857 rounded into $45.85
I'm trying to give as must change as there is possible that was created in money which is the hundredth place that represent cents.

not sure if this makes sense but I tried.
sergeinik [125]3 years ago
4 0
Alejandro is correct because you do not need to add another number to 76.518, as Jiro did, but you need to round it to the nearest tenth.

Glad I could help, and good luck!

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Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

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again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

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2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

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