Given the quadratic y = 2x^2-4x-1, I identify A = 2, B= -4 and C = -1. The axis of symmety: x = -b/2a --> 4/2(2) = 4/4 = 1. Therefore, the x-coordinate of the vertex is 1. To find the y-coordinate, I plug in 1 for x into the quadratic. Hence, y = 2(1)^2-4(1)-1 ---> -3. The coordinates of the vertex are (1,-3).
C hope that helps have a good one
Answer:
x = 21
Step-by-step explanation:
7x - 3 + 2x - 6 = 180 {Linear pair}
7x + 2x - 3 -6 = 180 {combine like terms}
9x - 9 = 180
9x = 180+ 9
9x = 189
x = 189/9
x = 21
Answer:
See explanation below.
Step-by-step explanation:
We have the statement that says that the sum of two two-digit numbers is a three digit number.
To prove that this statement is false, we only need to give a counterexample. This means that we have to find two two-digit numbers that does not sum a three digit number.
Let's take 11 and 12, if we sum them we have: 11 + 12 = 23.
23 is clearly a two digit number.
Therefore, the sum of two two-digit numbers is not a three digit number.
Answer:
4f + 3g
Step-by-step explanation:
g + 3f + f + g + g
3f + f = 4f
g + g = 2g + g = 3g
4f + 3g
