Step-by-step explanation:
Total weight of all 3 books = 2 7/16 + 1 7/8 + 1/2
Finding the common denominator,
2 7/16 = 39/16
1 7/8 = 15/8 = 30/16
1/2 = 8/16
Total = 39/16 + 30/16 + 8/16
= 77/16 = 4 13/16 pounds = 5 pounds
Total is less than 6 pounds. So, Gina can ship all 3 books.
the circle is 5; the triangle is 2; and the square is 6
Answer:
Step-by-step explanation:
I think the one you want is the last one, but I've never called it that.
21x^2 + 147x + x^3 + 343
x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)
21x(x + 7) + (x + 7)(x^2 - 7x + 49)
(x + 7) [ 21x - 7x + x^2 + 49)
(x + 7) [x^2 + 14x + 49]
(x + 7) ( x+7)^2
(x + 7)^3
It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.
Step-by-step explanation:
f(x) × g(x)
= (x2 + 5x )× (3x2 -4x )
=3x4 + 15x3 - 4x3 -20x2
3x^4 + 11 x3 - 20x2
To solve for the x, distribute first the numerical coefficients to the terms on the parentheses. This becomes,
7x - 21 = 4x + 20
Transpose all the terms with x and the constant on either sides of the equation,
7x - 4x = 20 + 21
3x = 41 ; x = 41 / 3
Thus, the answer is x = 41/3 which is fourth among the choices.
