All categories

2 years ago

The function f has the property that, for all x, 5(f)x=f(5x). If f(20)=40, what is the value of f(4)?

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

3 0

Using the given property, we conclude that:

f(4) = 8

<h3>What is the value of f(4)?</h3>

We know that our function has the property:

5*f(x) = f(5*x)

Now, we also know that:

f(20) = 40

Notice that we can rewrite:

f(20) = f(5*4)

Using the above property, we know that:

f(20) = f(5*4) = 5*f(4) = 40

Using the last part:

5*f(4) = 40

f(4) = 40/5 = 8

f(4) = 8

If you want to learn more about functions:

brainly.com/question/2328150

#SPJ1

You might be interested in

Answer me before tomorrow

Margarita [4]

The ex- suffix often correlates a word to mean "outside", while the in- suffix often correlates a word to mean "inside". An exterior angle of a polygon would mean "an angle outside of a polygon". An interior angle of a polygon would mean "an angle inside of a polygon". Three exterior angles of this polygon would be angle B, angle D, and angle A. This is because these angles are outside of the polygon due to the extending lines from the shape. Two interior angles of this polygon would be angle 6 and angle 8 (explanation was given when I first began answering this question). Angle 9 would be exterior since it is outside of the polygon. Two exterior angles of the polygon that are congruent are angle D and angle 9, since they are both 90 degrees (right angles).

8 0

3 years ago

Dylan scores a total of 48 points in his first games of the basketball season. Which equation can be used to find g, the average

Anarel [89]

Answer: 48÷4 = g

Step-by-step explanation:

Here is the complete question:

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?

a. 48÷4=g

b. 4÷48=g

c. g÷4=g

d. 4÷g=48

The average number of points Dylan scores per game which has been represented by g will be the total points scored divided by the number of game played. This will be:

g = total point scored ÷ number of games played

g = 48 ÷ 4

Therefore, option A is the right answer.

5 0

3 years ago

Read 2 more answers

What are the x-intercepts of x^2– 3x = 4?

Sindrei [870]

Answer:

x^2-3x=4

x^2-3x-4=0

x^2-4x+x-4=0

x(x-4)+1(x-4)=0

(x+1)(x-4)=0

x=-1,4

x- intercepts in the point (-1,0) and (4,0)

Step-by-step explanation:

3 0

3 years ago

Translate the description as an algebraic expression:<br>the square of the ratio of 11 and k

damaskus [11]

Answer:

The given description is equivalent to the algebraic expression,

$(\frac {11}{k})^{2}$

Step-by-step explanation:

The given description is ,

'The square of the ratio of 11 and k'

which is equivalent to the algebraic expression,

$(\frac {11}{k})^{2}$

6 0

3 years ago

Solve by the elimination method

Usimov [2.4K]

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Step-by-step explanation:

We need to solve the system of equations by elimination method

$6x= 64+2y\\2x= -7-5y$

Rearranging the equations:

$6x-2y=64\,\,\,eq(1)\\2x+5y=-7\,\,\,eq(2)$

Eliminating y to find value of x:

Multiply eq(1) by 5 and eq(2) by 2 and add both equations:

$30x-10y=320\,\,\,\\4x+10y=-14\\--------\\34x=306\\x=\frac{306}{34}\\ x=9$

So, value of x= 9

Eliminating x to find value of y:

Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:

$12x-4y=128\\12x+30y=-42\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\-34y=170\\y=\frac{170}{-34}\\ y=-5$

So, value of y = -5

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Keywords: Solving system of equations

Learn more about Solving system of equations at:

#learnwithBrainly

5 0

3 years ago