Answer:
Dasha has 52 roses
Step-by-step explanation:
Rewrite the first sentence in an equation: (D= Dasha) (A= Anna)
D=4A
Rewrite the second sentence in an equation:
A+39=D
1) Substitute A+39 as D in the first equation:
A+39=4A
2) Subtract A from both sides:
3A=39
3) Divide both sides by 3:
A=13
4) Now substitute 13 as A in the second equation:
13+39=D
5) Solve:
D=52
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
Answer:
translate the equation mat at right into an equation. remember that the duble line represent equals
Step-by-step explanation:
Solve the top equation to get on variable on one side
2x-y=6
-y=-2x+6
y=2x-6
then plug in the coordinate for x and y for both equations. if both equations are true then it’s a solution
2=2(2)+6
2=10
4+2=6
so it’s not a solution
Answer:
15
Step-by-step explanation:
