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2 years ago

Is the function y=x+2 linear or nonlinear?

Mathematics

2 answers:

RSB [31]2 years ago

8 0

Answer:

Linear!!

Step-by-step explanation:

This is in slope-intercept form.

This is y=1x+2, but since 1 x is just x, we don't express that the slope is 1, but it is understood. Then the y intercept's coordinates are (0,2).

Hope this helps!

AlladinOne [14]2 years ago

7 0

Answer:

Linear

Step-by-step explanation:

It is linear as it has degree 1.

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

11 months ago

HELPPPPPPP!!!!!!!! I have been asking these questions and I am stuckkkkkk

zlopas [31]

Answer:

really oh.. sorry dude

6 0

2 years ago

Look at the figure. Which point is collinear with points A and C?

sattari [20]

i think its E bc it is on the same line as the other 2 letters

3 0

3 years ago

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The diagram below shows several parking spots near the grocery store, formed with three parallel line segments and a transversal

Marina CMI [18]

Something I noticed about angle 4, is that it shares a straight line with angle 3. (above it is a straight line)

A straight line equals 180 degrees.

So, angle 4 + angle 3= 180 degrees.

Angle 3 is congruent to angle 7.

180-132= Angle 7

180-132= 48

48 degrees is your answer.

I hope this helps!
~kaikers

8 0

3 years ago

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The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.

sashaice [31]

Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

5 0

3 years ago