Which logarithmic function has x = 5 as its vertical asymptote and (6, 0) as the x-intercept? (x is the variable.). The logarithmic function is f(x) = log ?

Answers

Answer 1

Answer:

Answer: f ( x ) = log ( x - 5 )

Explanation:

1) Take g(x) = log (x) as the parent function

2) The horizontal asymptote of g(x) is x = 0, and the y-intercept is (1,0).

3) Then, translating the asymptote to x = 5, and the y-intercept to (6,0), means that the graph of the parent function is being shifted 5 units to the right.

4) The rule is that the translation of the function g(x) a constant value to the right, say it is k, results in the function f(x) = g(x - k).

5) Therefore, the logarithmic function searched is f(x) = g(x - 5) = log (x - 5), and that is the answer.

6) You can prove that log (x - 5) meets the two conditions:

i) $\lim_(x \to \n5+) log(x-5) = - \infty$ , which means x = 5 is a vertical asymptote

ii) f(6) = log (6 - 5) = log (1) = 0 ⇒ point (6,0) is the x-intercept

Answer 2

Answer: The parent function:
f ( x ) = log x
Domain of a new function: x ∈ ( 5, +∞ )
Answer: f ( x ) = log ( x - 5 )

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A hallway measuring 90 feet x 7 feet requires 1/2 a fluid oz of cleaning solution per sq ft. How much cleaning solution is needed to clean the hallway?

Answers

You want area of the floor to know how many square feet you have 90x7=630 630sq. ft of floor and it takes 1/2 an oz to clean one of them 630(1/2)=315oz

The local deli sells sandwich pepperoni. The pepperoni comes in the form of a cylinder. The radius of the pepperoni is 22 millimeters and the height iof the pepperoni is 110 millimeters. What is the volume of the pepperoni?

Answers

Answer:

The answer to your question is 167173.6 mm³

Step-by-step explanation:

Data

Radius = 22 mm

Height = 110 mm

π = 3.14

Volume = ?

- Formula

Volume of the pepperoni = πr²h

- Substitution

Volume of the pepperoni = (3.14)(22)²(110)

- Simplification

Volume of the pepperoni = (3.14)(484)(110)

- Result

Volume of the pepperoni = 167173.6 mm³

Horatio has taken out a $12,450 unsubsidized Stafford loan to pay for his four-year undergraduate education. The loan has an interest rate of 7.3%, compounded monthly, and a duration of ten years. Horatio will allow interest capitalization. Making monthly payments, how much interest will Horatio have paid in total by the time the loan is paid in full? Round all dollar values to the nearest cent.

Answers

I'll just give you an answer based on my understanding.
I'll use the formula for compounding interest.

A = P(1+r/n)^nt

A = future value of the loan including interest
P = principal of the loan
r = interest rate
n = number of times the interest is compounded per year (monthly=12)
t = number of years the money is loaned for

Given:
P = 12,450
r = 7.3%, compounded monthly
t = 10 years

A = 12,450 (1+0.073/12)^12*10
A = 12,450 (1.006)¹²⁰
A = 12,450 (2.05)
A = 25,522.50

25,522.50 - 12,450 = 13,072.50 total interest paid.

The correct answer will be option A.

There are 10 vehicles in a parking lot: 3 SUVs and 7 trucks. What is the probability that any 7 randomly chosen parking spots have 2 SUVs and 5 trucks OR 3 SUVs and 4 trucks?

Answers

We have to calculate the probability that any randomly choosen parking spots have 2 SUVs and 5 trucks or 3 SUVs and 4 trucks. We will use the formula with combinations: P = ( 3C2 * 7C5 ) / ( 10C7) + ( 3C3 * 4C7) / ( 10C7). For example: 10C7 = 10! / 7!*(10-7)! = 10!/7!*3!= 10*9*8/3*2*1 = 120, etc. P = ( 3 * 21 ) / 120 + ( 1 * 35 ) / 120 = 63 / 120 + 35 / 120 = 98 / 120 = 0.8166. Answer: The probability is 0.8166 or 81.66%.

I’ll mark you brainliest!!!! Use the function to find f(-4).

Answers

Answer:1/16

Step-by-step explanation:

So I plugged in -4 for x

f(x)=2^-4= 1/16

hope that helps

The answer is 1/16 :)

The area of a square room can be expressed as 196x^12y^10z^6 square feet . Hajime is installing a wallpaper border along the perimeter of the room. What is the perimeter?

Answers

The perimeter of the room is $56x^(6) y^(5) z^(3)$ units.

How to calculate the perimeter of a room given the area ?

The area of the square room is = $196x^(12)y^(10)z^(6)$ square units.

We know that the area of a square is given as the product of its sides,

Therefore the value of each side is = $\sqrt{196x^(12)y^(10)z^(6)}$ unit

Side of the square room is = $14x^(6) y^(5) z^(3)$ unit

Thus the perimeter of a square is given as the 4*length of each side.

∴ Perimeter = 4* $14x^(6) y^(5) z^(3)$ = $56x^(6) y^(5) z^(3)$ units.

Thus the perimeter of the square room is $56x^(6) y^(5) z^(3)$ units.

To learn more about perimeter of a square, refer -

brainly.com/question/2198503

#SPJ2

It is a square room; so, first take the square of the area measure.
√(196x^12y^10z^6) = 14x^6y^5z^3
That result is the length of one side of the room; so, just multiply
that result by 4 to find perimeter.
14x^6y^5z^3 •4 = 56x^6y^5z^3| feet

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