Answer:
-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given quadratic equation is,
y = -2x² + 4x + 5
y = -2(x² - 2x) + 5
y = -2(x² - 2x + 1 - 1) + 5
y = -2(x² - 2x + 1) + 2 + 5
y = -2(x - 1)² + 7
This equation is in the vertex form of the quadratic equation,
y = a(x - h)² + k
where, (h, k) is the vertex of the parabola.
Therefore, vertex of the given quadratic equation is (1, 7)
The equation can be rewritten as y = -2(x - 1)² + 7.
Therefore, the vertex of the graph of the function y = -2x² + 4x + 5 in the xy-coordinate plane is located at the point (1, 7).
Answer:
y = 6
Step-by-step explanation:
This is a special right triangle with angle measures 90° 60° 30°
the side length that sees angle measure 30 is represented with x
the side length that sees angle measure 90 is represented with 2x
and the side length that sees angle measure 60 is represented with x√3
the side length that sees angle measure 90 is given as 4√3 which means 2x = 4√3 divide both sides by 2
x = 2√3 now to find y, we need to multiply this value by √3
2√3 × √3 = 2 × 3
Answer:
7%, .15, 4/25, .28
Step-by-step explanation:
7% is 0.07 because it mean per hundred. .15 is next because when you divide 4/25 you get 0.16 so yeah then 4/25 is third then .28 is last because it is the greatest.
We can make this an equation, lets start with how much money he has. Since he bought the motorbike he lost 2,000, then sold it and received 2,500. The 2,000 cancels out but he still has 500. Now that he bought it for 2,200 we subtract 2,200 from 500 and get -1,700. Then finally, he sold it for 2,000 so we add that to -1,700 and get 300. His total profit was $300.
-2,000 + 2,500 = 500
500 - 2,200 = -1,700
-1,700 + 2,000 = 300
