I got 784 inches cubed, I cut the figure into two, the first one was 8×4×14=448, the second was 8×3×14=336,
therefore 448+336=784
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
For volume of a prism, the general rule is multiply the area of the base by the area of the height. For example, for a triangular prism, the volume would be (1/2)b*h*a if you set a = height of the prism and h = height of the triangle from the formula (1/2)bh, which is the area of a triangle.
Answer:
y = (5/9)(x -2)(x +6)
Step-by-step explanation:
When a polynomial has a zero (p, 0), it has a factor (x -p).
The given zeros mean the factored form of the equation will be ...
y = a(x -2)(x +6)
The given point will mean the value of 'a' will satisfy ...
(x, y) = (3, 5)
5 = a(3 -2)(3 +6) = 9a
a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'
The factored equation is ...
y = (5/9)(x -2)(x +6)
Step-by-step explanation:
An integer is 3 less than 5 times another. If the product of the two integers is 36, then the integers are: 3 and 12. Solution: x * (5x 3) 36; 5x2 - 3x = 36; 5x2 -3x 36 = 0; (5x + 12)(x - 3) = 0; x = -12/5 or x =3.
