The vertex form of a quadratic function is:
f(x) = a(x - h)² + k
The coordinate (h, k) represents a parabola's vertex.
In order to convert a quadratic function in standard form to the vertex form, we can complete the square.
y = 2x² - 5x + 13
Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.
y - 13 = 2x² - 5x
Factor out 2 on the right side of the equation.
y - 13 = 2(x² - 2.5x)
Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.
y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)
y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)
Add the constants on the left and factor the expression on the right to a perfect square.
y - 9.875 = 2(x - 1.25)²
Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.
y = 2(x - 1.25)² + 9.875
Vertex: (1.25, 9.875)
Solution: y = 2(x - 1.25)² + 9.875
Or if you prefer fractions
y = 2(x - 5/4)² + 79/8
Problem
8 over 3
g over 3
Cross multiply
8 × 3 = 24
g × 3 = 3g
__________
24 × 3g
--- ----
3 3
(Cross out "3g" and "3" on the right )
Then "divide" 24 and 3. It should leave you with 8
Your answer: g= 8
9514 1404 393
Answer:
Step-by-step explanation:
Write the power of ten in standard form and do the multiplication.
2.09 × 10^5 = 2.09 × 100,000 = 209,000
9.4387 × 10^4 = 9.4387 × 10,000 = 94,387
1.3 × 10^-3 = 1.3 × 0.001 = 0.0013
Answer:
p(side effects|child) = 0.44
p(side effects|adult) = 0.14
Conclusion: children have a much greater chance of having side effects than adults.
Step-by-step explanation:
i just did it on apex. good luck!
