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3 years ago

Identify the function in which y varies directly with x.

Mathematics

2 answers:

alisha [4.7K]3 years ago

8 0

I answer should be C.
Hope its right
And work.

patriot [66]3 years ago

3 0

Answer: The correct option is (C) y = 4x.

Step-by-step explanation: We are given to identify the function in which y varies directly with x.

We know that

if y varies directly as x, then we write as follows :

$y\propto x\\\\\Rightarrow y=k\times x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}]\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Out of the given options, equation (i) matches with the third option y = 4x, for k = 4.

Therefore, the correct option is (C) y = 4x.

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The formula for the resistance, R, of a conductor with voltage, V, and current , I , is R= V/I. Solve for V.

borishaifa [10]

Answer:

T+V/I

Step-by-step explanation:

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2 years ago

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3 years ago

What is the solution of x-1/1-x < 0?

kykrilka [37]

Option C is correct option.

Step-by-step explanation:

We need to find the solution of $\frac{x-1}{1-x}$

The given inequality becomes undefined when x = 1 because the denomiator is: 1-x and if x = 1 then it becomes 1-1 = 0 and anything divided by zero is undefined.

So, all values other than 1 are included in the solution of the given inequality.

So, solution is: x<1 or x>1 but x≠1

So, Option C is correct because all numbers are included in number line except 1. An unfilled circle on 1 shows that it is not included in the solution. Rest of numbers are included.

Option C is correct option.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

8 0

3 years ago

A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.