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3 years ago

6

Which of the following is a linear function?

1 answer:

olga55 [171]3 years ago

8 0

Answer:

Which of the following is a linear function?

y = x^3 + 1
(5/6)x = y − 4
y = 8x^2
y =(1/5)x

<u>2. (5/6)x = y − 4 and 4. y =(1/5)x</u> are the right answers.

Step-by-step explanation:

Linear function is in the form <u>y=ax+b</u><u>.</u>

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What number should be placed in the box to help complete the division calculation?

LenKa [72]

Answer:

25

Step-by-step explanation:

25x14=350

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3 years ago

Plsplspls help!!!

RideAnS [48]

Answer:

a) the answer if the substitute is 300

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3 years ago

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

Aliun [14]

As

$\tan x=\dfrac{\sin x}{\cos x}$
$\cot x=\dfrac{\cos x}{\sin x}$

we have

$\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x$

Recalling that $\cos2x=\cos^2x-\sin^2x$ , we end up with

$-\cos2x=1-2\cos2x$
$1=\cos2x$
$\implies2x=2n\pi$

(where $n$ is any integer)

$\implies x=n\pi$

5 0

4 years ago

Joel earns a commission of 5% on the audio equipment he sells , and the store keeps the rest . He sells a $750 amplifier. A. How

den301095 [7]

Answer:

Joel earns $35.00 commission and the store keeps $715.

Step-by-step explanation:

You need to figure 5% of what he sold - or 5% of $750.

Of course, you can use a calculator, or multiply $750 by .05. I prefer to think of 10 percent ($75.00) and half that to get 5%. $35.00.

Joel earns $35.00 on the sale. Not bad!

If he gets to keep $35, deduct this from the price to find out how much the store will keep.

$750 - $35 - $715.

5 0

3 years ago

Read 2 more answers