For eliminating you need to have a variable that cancels the other out and in this case 2x and -2x do. Then you want to take -3y+9y and add the numbers after the equal sign. -9+3
Two multiply 2 monomials, you have to multiply the coefficients and add the degrees. For example
2x^2 × 3x^3 =
6x^5
A) a customer would pay $1.60 for 1 pound of apples. (To solve, plug in “1” for “p” and find c))
B) 8.5 pounds of apples would cost $13.60. (To solve, plug in 8.5 for p and find c)
C) If a customer pays $5.20, they will have purchased 3.25 pounds of apples. (To solve, plug in 5.2 for c and solve for p)
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Answer:
(n + 2)² + 6
Step-by-step explanation:
pattern 1:
Total squares = 15
3² + 6 = 16
Pattern 2:
Total squares = 22
4² + 6
Pattern 3:
Total squares = 31
5² + 6
Looking at the series,
There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6
Hence, expressing the nth pattern in the form ;
(n + a)² + b
Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;
b = 6
Hence, we have ;
(n + 2)² + 6
Answer:
Option A - 
Step-by-step explanation:
Given: The volume of a cylinder = 
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is
(1)
The formula for volume of a cylinder is
(2)
Substituting
in equation (2), we get,

Given that the cone has the same radius and height of that of the cylinder, let us substitute
in equation (1)

Thus, the volume of a cone with the same radius and height of a cylinder is
.