Answers
Part 1: 210
Part 2: 24
Explanation
Part 1
This is called combination.
ⁿCm means, the number of different combinations of m objects out of n objects.
¹⁰C₆ = 10!/10!(10-6)!
= 10!/(6!×4!)
=210
Part 2
This is called permutation.
If you have nPm, this means the number of permutations of m objects out of n.
It's solve as follows;
nPm = n!/(n-m)!
⁴P₃ =4!/(4-3)!
= 4!/1!
= 24
Alright so the first one involves in shading.
You can see that Jack and Renee have two bars with rectangles inside the bar.
Jack took 3/4 hours or in words, three out of four. So in Jack's bar, shade 3 boxes and leave one unshaded.
Renee took 2/3 or two out of three. Shade 2 boxes in Renee's bar and see the difference.
As you can see, Jack has more shade length than Renee and that could only mean one thing:
Jack took longer to fix the tire than Renee.
The symbol that represents this is 3/4 > 2/3
The second activity has the same case.
Water: 3/5 means that you have to shade three boxes and leave the other two unshaded.
Sports Drink: 4/6 means that you have to shade four boxes and leave the other two unshaded.
As you can see again, there is more sports drink than the water since the shade length is longer in the sports drink than on the water.
This meant that she poured in more sports drink than water.
The third activity is just as simple, you just need to visually make up your own sections. Do the shading then see which one is bigger then just input the sign (hint: the first one is < and the second one is >)
cheers
Answer:
Gustavo
Step-by-step explanation:
if anything this looks like 38-19n, if the first term is n=1.
But as that isn't an option, gustavo should be correct, as his sequence would go down by 19 each time (yuki's would go up by 19 each time, not down like the sequence shows)
Answer:
x = -1 and x = 7
Step-by-step explanation:
2x^2 + 2x - 14x - 14
2x^2 - 12x -14
Divide through by 2 to simplify the expression
x^2 - 6x - 7
x^2 - 6x -7
Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7
Yes! It's -7 and +1
-7 + 1 = -6 , and -7* 1 = -7
Now, lets substitute these numbers in the expression
x^2 -7x + x - 7
factorize
x(x - 7) + 1(x - 7)
(x + 1) (x - 7)
Now equate to zero
(x + 1) (x - 7) = 0
x + 1 = 0
subtract 1 from both sides
x +1 - 1 = 0 -1
x = -1
Also,
x - 7 = 0
Add 7 to both sides
x -7 + 7 = 0 + 7
x = 7
Hence, x = -1 and x =7
Answer:
0,266666666667
Step-by-step explanation:
