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zloy xaker [14]

2 years ago

13

F(x)=x^5+1 The function above has a factor of y = x - 1. Choose True or False.

1 answer:

AURORKA [14]2 years ago

5 0

If x - 1 is a factor, then x - 1 = 0 will be an x - intercept of the function.
Which (solve for x) means if 1 is substituted into f(x) the result will be zero.
$f(1)=(1)^5+1=2$
This is known as the Remainder Theorem.
Since the result is not 0, the statement is false.
It actually has a factor of (x + 1)

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nancy spent 7/8 hour working out at the gym she spent 5/7 of that time lifting weights what fraction of an hour did sje spentld

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$\frac{9}{56}\\$ Fraction of hour was spent by NAncy in lifting weights

Step-by-step explanation:

Time spent at the gym by Nancy = $\frac{7}{8}\,hour$

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What fraction of hour she spent in lifting weights?

Solving:

Fraction of hour she spent in lifting weights= Time spend at the gym-Time spent at lifting weights

Fraction of hour she spent in lifting weights= $\frac{7}{8}\,hour-\frac{5}{7}\,hour$

$=\frac{49}{56}-\frac{40}{56}\\=\frac{49-40}{56}\\=\frac{9}{56}\\$

So, $\frac{9}{56}\\$ Fraction of hour was spent by Nancy in lifting weights

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