Answer:
24 pounds of Rift Valley coffee
26 pounds of Mexican Shade Grown coffee
Step-by-step explanation:
If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:
R + M = 50
12.10 R + 13.10 M = 12.62 (50)
Substitute:
12.10 R + 13.10 (50 − R) = 12.62 (50)
12.10 R + 655 − 13.10 R = 631
R = 24
M = 26
2x(2x + 3)
That would be -----------------------
2x^2 + 13x + 15
We should factor the denominator and then reduce the original fraction:
2x(2x + 3) 2x x
----------------------- = ------------- = ---------
(2x + 3)(2)(x+5) 2(x+5) x+5
This is true only for x not equal to -5, not equal to -3/2.
Answer:
Step-by-step explanation:
The h and k are the points of the vertex. The h is the one inside the absolute value bars. The k is on the outside. The h has to be the opposite sign from what is on the graph. For example, if the number on the the graph is -1, the number in the <em>equation</em> will have to be a positive 1. The number on the outside stays the same. If the number on the the graph is +1, the number in the <em>equation</em> will also be a positive 1.
Answer:
Option B
Step-by-step explanation:
Length of the rectangular sand box is given by the function,
F(x) = 3x³ + 6x - 2
Width of the sand box is represented by the function,
W(x) = 2x² - 4
Area function for the sand box will be,
Area of a rectangle = Length × Width
F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)
= 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)
= 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8
= 6x⁵- 4x²- 24x + 8
Therefore, Area function will be represented by a polynomial degree of 5.
Option B will be the answer.
