All categories

3 years ago

Combine the following expressions. 2√k + √k - 3√k

Mathematics

1 answer:

Marina CMI [18]3 years ago

7 0

Answer:

The answer is zero

Step-by-step explanation:

$2 \sqrt{k} + \sqrt{k} - 3 \sqrt{k} = 3 \sqrt{k} - 3 \sqrt{k} = 0$

You might be interested in

Find the cdf F(x) associated with each of the following probability density functions. Sketch the graphs of f(x) and F(x).

wolverine [178]

Answer:

See steps below

Step-by-step explanation:

$\bf f(x)=3(1-x)^2\;(0$

$\bf F(x)=\int_{0}^{x}f(t)dt=\int_{0}^{x}3(1-t)^2dt=3\int_{0}^{x}(1-t)^2=1-(1-x)^3$

The cdf associated with f is

$\bf \boxed{F(x)=1-(1-x)^3}$ for 0<x<1

<h3>See picture 1 </h3>

The median is a point x such that

F(x) = ½

so, the median is

$\bf 1-(1-x)^3=1/2\rightarrow (1-x)^3=1/2\rightarrow \boxed{x=1-\sqrt[3]{2}}$

The 25th percentile equals the 1st quartile and is a point x such

F(x) = ¼

and the 25th percentile is

$\bf 1-(1-x)^3=1/4\rightarrow (1-x)^3=3/4\rightarrow \boxed{x=1-\sqrt[3]{3/4}}$

$\bf f(x)=\frac{1}{x^2}\;(1$

$\bf F(x)=\int_{1}^{x}f(t)dt=\int_{1}^{x}\frac{dt}{t^2}=1-\frac{1}{x}$

The cdf associated with f is

$\bf \boxed{F(x)=1-\frac{1}{x}}$ for x>1

<h3>See picture 2 </h3>

The median is

$\bf 1-\frac{1}{x}=\frac{1}{2}\rightarrow \boxed{x=2}$

The 25th percentile is

$\bf 1-\frac{1}{x}=\frac{1}{4}\rightarrow \boxed{x=4/3}$

f(x) = 1/3 for 0<x<1 or 2<x<4

$\bf F(x)=\int_{0}^{x}\frac{dt}{3}=\frac{x}{3}\;(0$

$\bf F(x)=\frac{1}{3}+\int_{2}^{x}\frac{dt}{3}=\frac{1}{3}+\frac{x-2}{3}=\frac{x-1}{3}\;(2$

The cdf associated with f is

$\bf F(x)=\frac{x}{3}$ for 0<x<1

$\bf F(x)=\frac{x-1}{3}$ for 2<x<4

<h3>See picture 3 </h3>

The median is

$\bf \frac{x-1}{3}=1/2\rightarrow x=1+3/2\rightarrow \boxed{x=5/2}$

The 25th percentile is

$\bf \frac{x}{3}=1/4\rightarrow \boxed{x=3/4}$

4 0

4 years ago

This is 7th grade math and answer ASAP. Tell me which answer choice in q.1. I will gave brainliest, thx, and 5 star if answered

PilotLPTM [1.2K]

P=S1+S2+S3
P=2.3x+14+2x-0.2x+15
P=4.1x+29
The answer is the first one
Hope this helps

3 0

3 years ago

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

Oksanka [162]

Answer:

pre-image XYZ is X (2, 2), Y (6, 0), Z (1, -1)

The above is the second option in your question.

Step-by-step explanation:

a triangle has points X' (-2, 2), Y' (0, 6), Z' (1, 1)

To rotate the above triangle -90° about the origin you invert the x & y values and change the sign on the new y value.

pre-image XYZ is X (2, 2), Y (6, 0), Z (1, -1)

6 0

3 years ago

Read 2 more answers

Can someone help me plssssss ;w;

rjkz [21]

Answer: The curve representing the relationship includes the point (1, -3.2) .

The growth factor is 0.6666 .

An earthquake with an energy level 1 of has a magnitude of -3.2 .

Hello my Alpha.... bows down*

5 0

3 years ago

Manny is participating in a bike-a-thon and travels a constant rate of 6 miles in 20 minutes.

Leni [432]

Answer:

1. 54

2.?

Step-by-step explanation:

:) Have a nice day!

5 0

4 years ago