Answer:
8 balls, 7 balls, 6 balls, 5 balls, 4 balls
Step-by-step explanation:
Since there are three blue balls & there maybe five additional balls with different colors, then the three balls can be taken as a single unit during arrangement/combination.
If the number of other balls with different colors aside blue is 5, the value of M will be 8.
If the number of other balls with different colors aside blue is 4, the value of M will be 7.
If the number of other balls with different colors aside blue is 3, the value of M will be 6.
If the number of other balls with different colors aside blue is 2, the value of M will be 5.
If the number of other balls with different colors aside blue is 1, the value of M will be 4.
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
Answer:
4.625
Step-by-step explanation:
4.625 Your welcome :)
