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3 years ago

What is the inverse of the function f(x) = 2x – 10?

Mathematics

1 answer:

strojnjashka [21]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

let y = f(x) then rearrange making x the subject

y = 2x - 10 ( add 10 to both sides )

y + 10 = 2x ( divide both sides by 2 )

$\frac{y+10}{2}$ = x

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x+10}{2}$

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Grace [21]

Answer:

1300.62

Step-by-step explanation:

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3 years ago

Is the statement true or false? If false, give a counterexample.

scoundrel [369]

Answer:

D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)

Step-by-step explanation:

A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.

B is also false. There is no indicated negative signs.

C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)

D is true.

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3 years ago

Use the distributive property to expand the following expression.

Levart [38]

Answer:

-12.8x - 20y + 8.4

Step-by-step explanation:

To do this you just multiply everything by negative 4

so we have 3.2x*-4 + 5y*-4 - 2.1*-4

This gives us

-12.8x - 20y + 8.4

The last term is positive because we multplied a negative by another negative

3 0

3 years ago

10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of p

vazorg [7]

Answer:

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fibers are chosen without replacement, which means that we use the hypergeometric distribution.

92 fibers means that $N = 92$

Sample of 10 means that $n = 10$

No polymeter B which means that $x = 0$

17 fibers of polymeter B which means that $k = 17$

a. What is the probability that the sample does not contain any fibers of polymer B

This is P(X = 0).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,92,10,17) = \frac{C_{17,0}*C_{75,10}}{C_{92,10}} = 0.1150$

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

4 0

2 years ago

Subtracting fractions with unlike denominators

Alexeev081 [22]

Answer:

Answer is 9/8

Step-by-step explanation:

18/8-9/8=9/8

5 0

2 years ago

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