Answer:
(1, 2)
Step-by-step explanation:
A graphing calculator is a handy tool if all you want is a solution. It shows the solution as (x, y) = (1, 2).
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Equate the two expressions for y:
-3x +5 = 4x -2
7 = 7x . . . . . . add 2+3x
1 = x . . . . . . . divide by 7
y = -3(1) +5 = 2 . . . . . . use the first equation to find y from x
The solution is (x, y) = (1, 2).
Answer:
-50
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = -2(5^2) = -2(25) = -50
Answer:
Step-by-step explanation:
The Silo is cylindrical in shape.
The farmer wants to paint only the sides of the Silo with red paint. This means that the top and bottom of the Silo will not be painted.
The formula for determining the surface area of a cylinder is expressed as
Surface area = 2πr² + 2πrh
Since the top and bottom is not included, the formula becomes 2πrh
From the information given,
h = 13 meters
Diameter = 10 meters
Radius = diameter/2 = 10/2 =
5 meters
Therefore, the amount of paint that would be needed in square meters is
2 × 3.14 × 5 × 13 = 408.2m²
The 6 in the hundreds place tells you the quotient is at least 100. The non-zero digits in the 1s and 10s places tell you the quotient is more than 100.
Answer: r = -2.4
Step-by-step explanation:
Simplifying 6r + 4 = r + -8 Reorder the terms: 4 + 6r = r + -8 Reorder the terms: 4 + 6r = -8 + r Solving 4 + 6r = -8 + r Solving for variable 'r'. -8 + -4 = -12
5r = -12