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3 years ago

What is the best estimate for the sum of fractions 5//6 and 5/8

Mathematics

1 answer:

7nadin3 [17]3 years ago

4 0

Answer:

The answer is 25/24 or 1.041

Step-by-step explanation:

Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.

6 x 4 = 24 and 8 x 3 = 24

Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.

5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24

After getting these values, you can then add them.

20/24 + 15/24 = 25/24 or 1.041

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Find the range of the following piecewise function.

mash [69]

Answer:

$\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}$

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

$y=3x-2\ \text{if}\ -1\leq x$

Substitute x =-1 and x = 0:

$x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2$

Range of this piece is [-5; -2)

$y=2x+3\ \text{if}\ 0\leq x$

Substitute x =0and x = 5:

$x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13$

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

$[-5;\ -2)\ \cup\ [3;\ 13)$

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What is 32.043 in expanded form?

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