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stiv31 [10]
4 years ago
15

The temperature yesterday was 11 degrees colder than it was today if she represents the temperature today what expression repres

ents the temperature yesterday what was the temperature yesterday today's temperature 68 degrees Fahrenheit
Mathematics
1 answer:
damaskus [11]4 years ago
6 0
68-11=57 (Yesterday's temperature)
That's the expression. ^^ And yesterday's temperature is 57 because, 68 degrees (Today's temperature) minus 11 degrees (how many degrees colder it was yesterday) is equal to 57 degrees (Yesterday's Temperature).

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Step-by-step explanation:

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Find all solutions to the equation (x² + 5x + 6)(x² − 3x − 4) = 0.
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Step-by-step explanation:

To find the solutions to the equation \left(x^2+5x+6\right)\left(x^2-3x-4\right)=0 you need to:

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x^2+5x+6=\left(x^2+2x\right)+\left(3x+6\right)

Factor out x from (x^2+2x)

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Factor out 3 from 3x+6

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x^2+5x+6=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\\\x^2+5x+6=\left(x+2\right)\left(x+3\right)

  • Factor \left(x^2-3x-4\right)

x^2-3x-4=\left(x^2+x\right)+\left(-4x-4\right)\\\\x^2-3x-4=x\left(x+1\right)-4\left(x+1\right)\\\\x^2-3x-4=\left(x+1\right)\left(x-4\right)

Therefore

\left(x^2+5x+6\right)\left(x^2-3x-4\right)=\left(x+2\right)\left(x+3\right)\left(x+1\right)\left(x-4\right)=0

Using the Zero Factor Theorem:

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4 years ago
I need help plz. Its DeMoivres Theorem
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\bf z=2\left[ cos\left( \frac{4\pi }{3} \right) -i~sin\left( \frac{4\pi }{3} \right)\right]\implies z^6=\left[ 2\left[ cos\left( \frac{4\pi }{3} \right) -i~sin\left( \frac{4\pi }{3} \right)\right] \right]^6 \\\\\\ z^6=2^6\left[ cos\left( 6\cdot \frac{4\pi }{3} \right) -i~sin\left( 6\cdot \frac{4\pi }{3} \right)\right]\implies z^6=64[cos(8\pi )-i~sin(8\pi )] \\\\\\ z^6=64[(-1)-i~(0)]\implies z^6=\stackrel{\stackrel{a}{\downarrow }}{-64}~~\stackrel{\stackrel{b}{\downarrow }}{-0i}

4 0
4 years ago
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