All categories

3 years ago

The function f(x) varies inversely with x and f(x)=4 when x =12. What is f(x) when x=3?

Mathematics

2 answers:

g100num [7]3 years ago

8 0

B) 9 is the answer for ur question

Naddik [55]3 years ago

3 0

Answer:

C. 16

Step-by-step explanation:

I took the test, hope this helps! :)

You might be interested in

A rectangle is drawn so the width is 97 inches longer than the height. If the rectangle's diagonal measurement is 113 inches, fi

inn [45]

Step-by-step explanation:

h = height of rectangle (should be "length", but ok)

w = width of rectangle

w = h + 97

the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.

so, we use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle).

diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²

113² = 12769 = 2h² + 194h + 9409

3360 = 2h² + 194h

1680 = h² + 97h = (h + 97/2)² - 9409/4

(completing the square)

6720/4 + 9409/4 = (h + 97/2)²

16129/4 = (h + 97/2)²

127/2 = h + 97/2

30/2 = h = 15

the height is 15.0 in

8 0

1 year ago

A class has 36 students in it and 25% of the students wore hats to school. What fraction of the students wore hats?

Setler79 [48]

Hi,

25/100 * 36 = 9

So it represents 9/36 = 1/4 of students

8 0

3 years ago

the admission fee for a charity event is 7 dollars for children and 10 dollars for adults the event was attended by 700 people a

ollegr [7]

Given:
$7/child
$10/adult
Total people = 700
Total money = $6,400

First, make two equations.
Let a = # of adults & Let c = # of children.
Let p = total people

1. a+c = 700
2. 10a+7c = 6,400

Then, rearrange the equation to solve for a variable.
c = 700-a

Substitute (700-a) for c, or the # of children in the second equation.
10a+(700-a) = 6400
9a+700 = 6400
9a+700-700 = 6400-700
9a = 5700
9a/9 = 5700/9
a = 633 $\frac{1}{3}$ = # of adults attended

700-633 $\frac{1}{3}$ = c = 66 $\frac{2}{3}$ = # of children attended

4 0

3 years ago

What answer is this?

klemol [59]

Answer:

option B

$\frac{31}{50}-\frac{4}{25} i$

Step-by-step explanation:

Given in the question a complex fraction

To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

$\frac{5+4i}{6+8i}(\frac{6-8i}{6-8i})$

Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

$\frac{30+24i-40i-32i²}{36-64i^{2} }$

Simplify the powers of i, specifically remember that i² = –1.

$\frac{62-16i}{36+64}$

$\frac{62}{100}-\frac{16i}{100}$

simply

$\frac{31}{50}-\frac{4}{25}i$

8 0

3 years ago

The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 500 peopl

konstantin123 [22]

Answer: In first question, Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

In second question, The goal of $3050 fell by $710

Step-by-step explanation:

1. Since, Here d represents the number of adult tickets and s represents the number of student tickets.

And, all 500 seats are filled for a performance.

Therefore, s + d = 500 ------(1)

Also, the price of one adult's ticket = $8.50

The price of one student's ticket= $5.50

And, their is a revenue of $3050 by selling the tickets.

Thus, 8.50 d + 5.50 s = 3050 --------(2)

By solving the equation (1) and equation (2),

we get, s = 400, d=100

Thus, Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

2. According to the question,

s = 2 d ----- (3)

s + d = 360 -----(4)

By solving equation (3) and (4),

We get, s = 240 and d = 120

thus, the total revenue after selling 360 tickets = 8.50 × 120 + 5.50 × 240 = $2340

But, the goal is $3050 ( according to the question)

Thus the total fall = 3050 - 2340 = $710

6 0

3 years ago