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3 years ago

State the domain of the rational function. f(x)= 7/14-x

1 answer:

34kurt3 years ago

4 0

The denominator is 14-x.
Since the denominator cannot be equal to zero, you take the denominator, set it equal to zero, and solve.
This ill give you the value or values that must be eliminated (cannot be in the domain).

14 - x = 0
add x to both sides
14 = x
The domain is x ≠ 14
OR
(- ∞, 14) ∪ (14, ∞)
OR
All real numbers except 14

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I have asked so many times and no one will answer. :(

andrew-mc [135]

Answer:

1) $\frac{1}{2^7}$ ; 2) $11^7$

Step-by-step explanation:

1) Using the Power of a Fraction Rule $(\frac{a}{b} )^x = (\frac{a^x}{b^x} )$ ,

$(\frac{1}{2} )^7 = (\frac{1^7}{2^7} )$ , which can just be simplified to $\frac{1}{2^7}$ .

2) Using the Negative Exponent Rule, $a^{-x} = \frac{1}{a^{x}}$ ,

$(\frac{1}{11} )^{-7} = \frac{1}{\frac{1}{11^7}}$ , which can be simplified to $11^7$ .

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2 years ago

(9b+7)+(4x-3)+(8n+5)=? (Simplify your answer.)

uysha [10]

Answer:

9b+8n+4x+9

Hope that helps!

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2 years ago

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Use a rectangular array to write the product in Standard form 2(x+10=?

Sladkaya [172]

Hello there!

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See the attached picture for the answer!

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2 years ago

Takashi ran 200 yards in 40 seconds Ana ran 150 yards in 25 seconds can u tell who runs faster without rewriting the rates expla

Marina86 [1]

150 is smaller than 200 so 25 is smaller than 40, but 25, in perspective to the numbers, is much smaller than 40. Ana is faster.

Check:

Takashi: 200 divided by 400 equals 5 yd/sec
Ana: 150 divided by 25 equals 6 yd/sec

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3 years ago

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a vertical pole 10 ft. tall casts a 14-foot shadow. what is the angle of elevation of the sun to the nearest degree?

PtichkaEL [24]

Draw a right triangle.

$tan(theta) = \frac{opposite}{adjacent}$

$tan(theta) = \frac{10}{14}$

Arctangent (tan^-1) can be used to find theta.

$tan^{-1}(\frac{10}{14})=theta$

$theta\ is\ approx\ \boxed{36\ degrees}$

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3 years ago