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3 years ago

Consider the linear function f(x)=4x-5 Find the values of x for which f(x)=3,f(x)=5,f(x)=-3

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

7 0

Answer:

f(2) = 3

f(5/2) = 5

f(½) = -3

Step-by-step explanation:

Given the linear function f(x) = 4x - 5:

3 = 4x - 5

3 + 5 = 4x - 5 + 5

8 = 4x

8/4 = 4x/4

2 = x

Therefore, when f(x) = 3, x = 2.

5 = 4x - 5

5 + 5 = 4x - 5 + 5

10 = 4x

10/4 = 4x/4

5/2 = x

Therefore, when f(x) = 5, x = 5/2.

-3 = 4x - 5

-3 + 5 = 4x - 5 + 5

2 = 4x

2/4 = 4x/4

½ = x

Therefore, when f(x) = -3, x = ½.

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yanalaym [24]

Answer:

4.0 L of 10%
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Step-by-step explanation:

For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.

The amount of alcohol in the mix is ...

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Eliminating parentheses, we have ...

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5 0

3 years ago

In a population, 11% of people are left handed. In a simple random sample of 160 people selected from this population, the propo

castortr0y [4]

Answer:

The claimed proportion (population) is

$p=0.11$

The sample proportion (p-hat) is

$\hat{p}=0.10$

Step-by-step explanation:

In the population, we have the parameter p that is 11%.

$p=0.11$

Then, a sample of n=160 is taken and the proportion of the sample is 0.10.

$\hat{p}=0.10$

The sample proportion p-hat can differ from the population's proportion. There is a sampling distribution that gives the possible values of the sample proportion taken out of this population and its associated probabilities.

7 0

4 years ago

Does anyone know???!

jok3333 [9.3K]

Answer:

#8 might be y= -3x + 5

Step-by-step explanation:

This may help

5 0

3 years ago

Read 2 more answers

1. Find the derivative of f(x), at x = 10<br> f(x) = - 5x² + 13x

Serhud [2]

Answer:

-10x+13

Step-by-step explanation:

Im not 100% sure but i tried!

6 0

3 years ago

A blue die and a red die are rolled. how many outcomes have neither die showing 2?

Katen [24]

The outcomes with neither die showing 2 is 25

<h3>How to determine the outcomes with neither die showing 2?</h3>

The sample sizes of the dice are given as:

Blue die = 6

Red die = 6

The outcomes with neither die showing 2 is

Outcomes = Red die * blue die - (blue die + red die) + 1

So, we have:

Outcomes = 6 * 6 - (6 + 6) + 1

Evaluate

Outcomes = 25

Hence, the outcomes with neither die showing 2 is 25