3 years ago

How do I simplify -42+(-17)

Mathematics

1 answer:

salantis [7]3 years ago

4 0

Answer:-59

-42+(-17)
-42-17

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3 years ago

Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.

DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

$5_b \cdot 23_b = 151_b$

The easiest way to approach this is to convert all the numbers to base 10.

$5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0$

$b^2-5b-14=0$

Next, we factorize the resulting expression.

$b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2$

The positive value of b for which the equality hold is 7.

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2 years ago

Can we combine a high quality of life with environmental sustainability?

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Step-by-step explanation:

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2 years ago

Altogether how many legs do 30 cows have

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Option 3

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Read 2 more answers

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32-8=24[cartonase cu fluturi mai are]
8 ori 3=24[cartonase cu pesti]
24+24=48[cartonase are in total]

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2 years ago