4) Area is 48 I believe because 6x8 is 48
8) Same explanation but 4x8 making the area 32.
2) Area: 1 because 1x1 is 1
3) Area: 36 because 4.5x8 is 36
The person has 1 5/6 cake left because 3 2/4 - 1 2/3 = 1 5/6! Hope this helps ^0^
Explanation
Rewriting Expression in different parts.
= 3 + 2/4 + 1 + 2/3.
Solving The Whole Number Parts.
3 + 1 = 4
Solving The Fraction Parts.
2/4 + 2/3 = ?
Find the LCD of 2/3 and 2/4 and Rewrite to solve with equivalent Fractions.
LCD = 12
6/12 + 8/12 = 14/12
Simplify the Fraction Part.
14/12 = 7/6
Simplify The Fraction Part Again.
7/6 = 1 1/6
Combining The Whole Numbers With The Fractions.
4 + 1 + 1/6 = 5 1/6
Hope this helps ^0^! ;D
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
<h3>
Answer: Vertex is (2,2)</h3>
=====================================
Explanation:
The equation
y = -3x^2 + 12x - 10
is in the form
y = ax^2 + bx + c
with a = -3, b = 12, c = -10
Plug the 'a' and 'b' values into the equation below to find the x coordinate of the vertex
h = -b/(2a)
h = -12/(2*(-3))
h = -12/(-6)
h = 2
The x coordinate of the vertex is h = 2, which is then used to find the y coordinate of the vertex
y = -3x^2 + 12x - 10
y = -3(2)^2 + 12(2) - 10
y = -3(4) + 12(2) - 10
y = -12 + 24 - 10
y = 12 - 10
y = 2
The y coordinate of the vertex is k = 2
The vertex is (h,k) = (2,2)
This is a whole squared equation. So, it is (x+2)^2.
If you check it, you get x2 + 4x + 4
Hope this helps!
, where b is the base and x can be any real number.
, the graph of function will will increase as we move from left to right.
