Answer:
A 5040
B 35
Step-by-step explanation:
A There are 7 ways to put the first picture. There are 6 pictures left and 6 ways to put the 2nd picture. There are now 5 pictures left and 5 ways to put the 3rd picture. And so on
7 * 6*5*4*3*2*1
5040
B If we can only have 3 pictures and order does not matter
7 choices for the first * 6 *5
But
We have to take into account order
The first picture can go into 3 slots, the second into 2 and the third 1 so divide by 6
(7*6*5)/ (3*2*1)
35
The length of the pieces are 5 foot and 8 foot.
<h3>what is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Total length of board is 13 foot.
let the length of first piece be x
and length of second piece be y
So, x+ y = 13 .......(1)
Now, The length of the shorter piece is 1 ft more than half the length of the longer piece
x = y/2 + 1......(2)
Now, solving (1) and (2) we get
y/2 + 1 + y = 13
3y/2 = 12
y=24/3
y=8
Then x= 13-8
x= 5
Hence, the length of the pieces are 5 foot and 8 foot.
Learn more about Algebra here:
brainly.com/question/24875240
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Answer:
1/4x+27/4
Step-by-step explanation:
Here's the equation: -4y+x=-27
We'll need to isolate y on one side
subtract x from both sides
-4y=-x-27
divide everything by -4
y=1/4x+27/4
So you can substitute 1/4x+27/4 for y.
hope this helps!
If three points are collinear Then they lie on the same line
Answer:
1. quadratic
2. quadratic
3. linear
4. quadratic
Step-by-step explanation:
In the picture attached, the scatter plots are shown.
The differences between these correlations are:
- linear
: makes a straight line
- quadratic: makes a ∩ or ∪
- exponential: rises or falls quickly in one direction
In plot 1, 2 and 4, we can see that y-values decrease at first and then they increase. This is a feature of quadratic correlation
In plot 3, we can see that y-values increase uniformly as x-values increase.This is a feature of linear correlation
