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11111nata11111 [884]
2 years ago
11

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

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“The perimeter P of a triangle is equal to the sum of the lengths of sides a,b, and c”
Kryger [21]

Answer:

1. Write the addition of "a", "b" and "c".

2. The equation is: P=a+b+c

Step-by-step explanation:

You know that <em>P</em> represents the perimeter of the triangle and <em>a, b </em>and <em>c </em>represent the sides of the triangle.

By definition, the sum is the result of an addition. Therefore, the statement "The perimeter <em>P</em> of a triangle is equal to the sum of the lengths of sides <em>a, b</em>, and <em>c</em>”, indicates that the perimeter is obtained by adding the lengths of the sides of the triangle.

Knowing this, you can write the following equation:

P=a+b+c

5 0
3 years ago
One common factor of two numbers is 40. Another common factor is 10. If both numbers are less than 100, what are the two numbers
Viefleur [7K]
Only two numbers less than 100 have a factor of 40: 40 (1 x 40) and 80 (2 x 40). Since 40 is a factor of both 40 and 80, 10 must also be a factor - indeed, 40 = 4 x 10 and 80 = 8 x 10.

The two number must be 40 and 80.
5 0
4 years ago
What is a system of equations for the following situation? There is a total of 30 questions on a test. Some questions are multip
Alexxx [7]

Answer:

m + s = 30

2m + 6s = 100

Step-by-step explanation:

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8 0
3 years ago
Which expression is equivalent to 3(x + 4)?
Klio2033 [76]

Answer:

3x + 12

Step-by-step explanation:

Use the distributive property.

3(x + 4) = 3 * x + 3 * 4 = 3x + 12

Answer: 3x + 12

3 0
3 years ago
Read 2 more answers
Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided conf
givi [52]

Answer:

0.818335 ≤ p ≤ 0.86366

Step-by-step explanation:

Given that:

Sample size (n) = 1000

Positive lung cancer = 841

n(p) = 841, p(p) = 841/1000 = 0.841

n(1 - p) = 1000 - 841 = 159

1 - p = 0.159

95% confidence interval

For a 95% confidence interval : z = 1.96

P ± z√p(1-p) / n

0.841 ± 1.96 * √0.841(0.159) / 1000

0.841 - (1.96 * 0.0115636) = 0.818335344

0.841 + (1.96 * 0.0115636) = 0.863664656

0.818335 ≤ p ≤ 0.86366

4 0
3 years ago
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