The first thing to do is to set this equal to zero, then move the constant over to the other side of the equals sign so we only have the x terms to worry about.

. Now we're ready to complete the square. We take half the linear term, square it, and add it in to both sides. Our linear term is -6x. Half of 6 is 3, and 3 squared is 9, so we add 9 to both sides:

. Now we will do the math on the right to get 4, and on the left we will express the perfect square binomial we created while completing this process.

. Now we can move the constant back over by subtraction to get

. Now we can see that the vertex is (3, -4). Since this is a positive parabola, it opens upwards, like a cup, which means that the lowest part of the parabola, the vertex, is sitting at the bottom, or at a minimum value. So our answer is C
Answer:
A. $1,810, B. $16,290
Step-by-step explanation:
A. $18,100 * 0.10 = $1,810
B. $18,100 - $1810= $16,290
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (-
, 0) and (x₂, y₂ ) = (0,
)
m =
=
=
and c =
, then
y =
x +
( multiply through by 4 to clear the fractions )
4y = 2x + 3 ( subtract 4y from both sides )
0 = 2x - 4y + 3 , that is
2x - 4y + 3 = 0 ← equation of line
Answer:
A: 6.3
Step-by-step explanation:
Step-by-step explanation:
Solution for 100 is what percent of 0.28:
Percentage solution with steps: Step 1: We make the assumption that 0.28 is 100% since it is our output value.