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3 years ago

Which of the following rules describes the function graphed below?

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

Answer: Output = 8 − Input

Step-by-step explanation:

do 8 - each input value and you will get the output value

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Consider the function f(x)=−34x+2 . What is f(12) ?

Rashid [163]

Hello from MrBillDoesMath!

Answer:

-406

Discussion:

f(x) = -34x + 2 =>

f(12) = -34(12) + 2 =>

f(12) = -408 + 2 = -406

Thank you,

MrB

6 0

3 years ago

How do you convert 16.2 km to m

mojhsa [17]

Remember that 1 kilometer is equivalent to 1000 meters, so for this just multiply 16.2 by 1000, and your answer will be $16.2\ \textsf{km}=16,200\ \textsf{m}$ 

3 0

3 years ago

A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is not

Marizza181 [45]

All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If $x_i$ is the component for state $i$ , then you have

$x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16$

which means $x_2=4x_4=0.64$ . So the state vector is $\mathbf x=(0.2,0.64,0,0.16)$ .

4 0

3 years ago

*At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total disco

ratelena [41]

The percent of total discount is 16.4 %

Solution:

Given that,

At first a price was decreased by 12%, then it was discounted again by an additional 5 %

To find: Percent of total discount

Let "x" be the original price

At first a price was decreased by 12%

Therefore,

Discounted price = original price - 12 % of original price

Discounted price = x - 12 % of x

$Discounted\ price = x - \frac{12}{100} \times x\\\\Discounted\ price = x - 0.12x\\\\Discounted\ price = 0.88x$

It was discounted again by an additional 5%

Therefore,

Discounted price = 0.88x - 5 % of 0.88x

$Discounted\ price = 0.88x - \frac{5}{100} \times 0.88x\\\\Discounted\ price = 0.88x - 0.05 \times 0.88x\\\\Discounted\ price = 0.88x - 0.044x\\\\Discounted\ price = 0.836$