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Phoenix [80]
3 years ago
5

Simplify:

Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

(a) 16-2x

(b)-x-2 or x+6

(c)

Step-by-step explanation:

(a)

|6-x|+|x-10|,

|4-x|=4-x,so x<4

|2-x|=x-2=-(2-x)

2-x<0

2<x

or x>2

2<x<4

so |6-x|=6-x,in 2<x<4

|x-10|=-(x-10),in 2<x<4

|6-x|+|x-10|=6-x-(x-10)=6-x-x+10=16-2x

(b)

2-|2-|x-2||,if x<-2

|x-2|=-(x-2) if x<-2

=2-|2-{-(x-2)}|

=2-|2+x+2|

x<-2

x+2<0

=2-|x+4|

=2-(x+4),if x>-4,or -4<x<-2

=2-x-4

=-x-2

if x<-4

then |x+4|=-(x+4)

2-|x+4|=2-{-(x+4)}

=2+x+4

=x+6

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4 0
3 years ago
Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cu
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Answer:

The mixture C is the correct option

Step-by-step explanation:

According to the given scenario, the calculation is as follows:

For Mixture A

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White Paint - 12 cups

The ratio between them is 5:12

For Mixture B

Blue Paint - 6 cups

White Paint - 6 cups

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It came by multiply the numerator and denominator by 12

For Mixture C

Blue Paint - 4 cups

White Paint - 12 cups

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For Mixture D

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White Paint - 6 cups

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It came by multiply the numerator and denominator by 12

As it can be seen that in all four mixtures the denominator is the same so for calculating the lowest ratio we have to see the small value in the numerator

As it can be seen that there is a small value of 4

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5 0
3 years ago
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Can someone please help me with 19a?
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Step-by-step explanation:

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Hope this helps!

7 0
3 years ago
–5(v + 65) = -65 v = ____
labwork [276]

Answer:

v = -52

Step-by-step explanation:

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