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rjkz [21]
3 years ago
10

Consider the function f(x) = 9x. Which statement MUST be true? A) f(4) f(1) = f(8) f(5) B) f(4)·f(1) = f(8)·f(5) C) f(4) − f(1)

= f(8) − f(5) D) f(4) − f(1) = f(−4) − f(−1)
Mathematics
2 answers:
Afina-wow [57]3 years ago
3 0

Answer with Step-by-step explanation:

We are given that:

f(x)=9x

A) f(4) f(1) = f(8) f(5)

f(4)f(1)=9×4×9×1=324

f(8)f(5)=9×8×9×5=3240

Hence, this option is incorrect

B) f(4)·f(1) = f(8)·f(5)

f(4)f(1)=324

f(8)f(5)=3240

Hence, this option is incorrect

C) f(4) − f(1) = f(8) − f(5)

f(4)-f(1)=9×4-9=27

f(8) − f(5)=9×8-9×5=27

Hence, this option is correct

D) f(4) − f(1) = f(−4) − f(−1)

f(4) − f(1)=9×4-9=27

f(−4) − f(−1)=9×(-4)+9=-27

Hence, this option is incorrect

Correct option is:

C) f(4) − f(1) = f(8) − f(5)

Eddi Din [679]3 years ago
3 0

Answer:

The correct answer is A

Step-by-step explanation:

Exponential functions grow by equal factors over equal intervals because the change in x is always the same as the exponent of the quotient of the values of y.

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3 0
2 years ago
If 11 - 3x = x, then 20x=
dimaraw [331]

Answer:

20x = 55

Step-by-step explanation:

First you have to add 3x to both sides of 11-3x=x

11-3x=x\\+3x=+3x\\11=4x

Now that you have 11 = 4x you divide 4 on both sides \frac{11}{4} =\frac{4x}{4}

11/4 = x

But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75

so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x  however both will equal the number 55

20(\frac{11}{4})=55\\20(2.75)=55

4 0
3 years ago
A small regional carrier accepted 19 reservations for a particular flight with 17 seats. 14 reservations went to regular custome
Ludmilka [50]

Answer:

(a) The probability of overbooking is 0.2135.

(b) The probability that the flight has empty seats is 0.4625.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of passengers showing up for the flight.

It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.

Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.

Number of reservations = 19

Regular customers = 14

Seats available = 17 - 14 = 3

Remaining reservations, n = 19 - 14 = 5

P (A remaining passenger will arrive), <em>p</em> = 0.52

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.52.

(1)

Compute the probability of overbooking  as follows:

P (Overbooking occurs) = P(More than 3 shows up for the flight)

                                        =P(X>3)\\\\={5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}\\\\=0.175478784+0.0380204032\\\\=0.2134991872\\\\\approx 0.2135

Thus, the probability of overbooking is 0.2135.

(2)

Compute the probability that the flight has empty seats as follows:

P (The flight has empty seats) = P (Less than 3 shows up for the flight)

=P(X

Thus, the probability that the flight has empty seats is 0.4625.

4 0
3 years ago
.What is the value of the expression below when x=9? Enter the answer as NUMBER only?<br> 1/3 x^2+4
belka [17]

Step-by-step explanation:

<u>1</u><u> </u>*9^2 + 4

3

<u>1</u><u> </u>* 81 + 4

3

<u>1</u><u> </u>* 85

3

<u>85</u>

3

=28

5 0
3 years ago
The charity gala will cost $392 if it has 28 attendees. How many attendees can there be, at most, if the budget for the charity
Vlad1618 [11]

Answer:

58 attendees

Step-by-step explanation:

Find the unit rate

cost $392 if it has 28 attendees

392/28 = $14 per attendee

How many attendees can there be,if the budget is $812?

812/14 = 58 attendees

4 0
3 years ago
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