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Lorico [155]
3 years ago
13

Determine the domain of the function. (5 points) Please state whether A,B,C or D

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

Option C is correct.

All real numbers except 9

Step-by-step explanation:

Given the function: f(x) = \frac{x}{x-9}

To find the domain of the function:

Domain of a function is the set of all the possible values of the independent variable.

Since, the given function is a rational function and the denominator cannot equal zero because it would be undefined.

therefore, the domain of the function f(x)is, all real numbers except 9


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121. Nina has just taken out a car loan for $12,000. She will pay an annual interest rate of 3% through a series of monthly paym
Andrei [34K]

Answer:

(1.0025ⁿ)² + 3.7124×(1.0025ⁿ) - 5.3124 = 0

Step-by-step explanation:

Nina will have saved the enough money to pay off the remaining balance on the loan when the functions are the same. So

f(x) = g(x)

86248 - 74248(1.0025)ⁿ = 20000(1.005)ⁿ - 20000

we sum 20000 on each side of the equation

106248 - 74248(1.0025)ⁿ = 20000(1.005)ⁿ

then we divide by 2000 each side of the equation

5.3124 - 3.7124(1.0025)ⁿ = 1.005ⁿ

the square root of 1.005 is aproximately 1.0025, so

1.005 ≈ 1.0025²

5.3124 - 3.7124(1.0025)ⁿ = (1.0025²)ⁿ

Since (1.0025²)ⁿ = 1.0025²ⁿ = (1.0025ⁿ)² we can write:

(1.0025ⁿ)² + 3.7124(1.0025ⁿ) - 5.3124 = 0

7 0
3 years ago
What is x + y? please answer asap
ale4655 [162]

Answer:

Step-by-step explanation:An x-y axis, also known as a cartesian coordinate system or a coordinate plane, is a two-dimensional plane of points defined uniquely by a pair of coordinates.

Hope this helped!!!!

8 0
3 years ago
In triangle ABC, the measure of C is 90°,<br> AC=24, and BC=10. What is the value of sin<br> A?
Sergio039 [100]

Answer:

Sin A = 0.38462

Step-by-step explanation:

From the trigonometric function,

Sin A = \frac{Opposite}{Hypotenuse}  ................... 1

So that, applying the Pythagoras theorem to determine the value of hypotenuse,

/Hyp/^{2} = /Opp/^{2} + /Adj/^{2}

            = 24^{2} + 10^{2}

            = 576 + 100

/Hyp/^{2} = 676

Hyp = \sqrt{676}

       = 26

The hypotenuse of the triangle is 26.

Thus, from equation 1;

Sin A = \frac{10}{26}

Sin A = 0.38462

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3 years ago
6 friends are going to sit together in a rollercoaster that has 6 seats. In how many different arrangements can they sit?
Anastasy [175]

Answer:

36

Step-by-step explanation:

I think it may be 36. I did 6×6, but I'm not fully positive

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3 years ago
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