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3 years ago

Which function has an asymptote at x= 39

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

4 0

Answer:

The correct answer is b. f(x) = log7(x-39)

LekaFEV [45]3 years ago

3 0

Answer:

option B : $f(x)= log_7(x-39)$

Step-by-step explanation:

(a) $f(x) = 7^{x-39}$

For exponential function , there is no vertical asymptotes

General form of exponential function is

$f(x) = n^{ax-b}+k$

$f(x) = 7^{x-39}$

In the given f(x) the value of k =0

So horizontal asymptote is y=0

(b) lets check with option

$f(x)= log_7(x-39)$

To find vertical asymptote we set the argument of log =0 and solve for x

Argument of log is x-39

x-39=0 so x=39

Hence vertical asymptote at x=39

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As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w

kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.

A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D) To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

Divide:

X = 8.83

At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100

The answer is 9 weeks.

4 0

3 years ago

Please help meeeeee :///

eimsori [14]

Wouldn't all the angles equal 180? We've been trying to learn these but I think so. Subtract both numbers by 180 and it should be the answer. Sorry if it's wrong but I'm not sure. I kinda hope this helps you any

5 0

3 years ago

Read 2 more answers

Give an example of how the zero product property applies to solving quadratic equations

mestny [16]

Answer:

How the zero product property applies to solving quadratic equations?

The zero product property states that if the product of two quantities is zero, then one or both of the quantities must be zero. ... When you factor, you turn a quadratic expression into a product. If you have a quadratic expression equal to zero, you can factor it and then use the zero product property to solve.

Step-by-step explanation:

8 0

3 years ago

The sale bin in a clothing store contains an assortment of t-shirts in different sizes. There are 7 small, 8 medium, and 4 large

umka21 [38]

Answer:

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

Step-by-step explanation:

We have 7 small shirts, 8 medium shirts and 4 large shirts

Total number of shirts = 7 + 8 + 4 = 19 shirts

The probability that at least one of the first four shirts he checks is a large is given by

P(at least 1 large) = 1 - P(no large)

So first we need to find the probability that the none of the first four shirts he checks are large.

For the first check, there are 15 small and medium shirts and total 19 shirts so,

15/19

For the second check, there are 14 small and medium shirts and total 18 shirts left so,

14/18

For the third check, there are 13 small and medium shirts and total 17 shirts left so,

13/17

For the forth check, there are 12 small and medium shirts and total 16 shirts left so,

12/16

the probability of not finding the large shirt is,

P(no large) = 15/19*14/18*13/17*12/16

P(no large) = 0.352

Therefore, the probability of finding at least one large shirt is,

P(at least 1 large) = 1 - P(no large)

P(at least 1 large) = 1 - 0.352

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

4 0

3 years ago

Solve for x <br> x^2 - 2x - 35 = 0x

olga_2 [115]

Answer:

x = 7

x = -5

Step-by-step explanation:

Given

x² - 2x - 35 = 0

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5, since

- 7 × 5 = - 35 and - 7 + 5 = - 2, thus

(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

4 0

3 years ago