He drove 219.375 miles more on the fist day than the second day.
Museum C because for every 3 guests you pay $4(?) each.
3/4
12/16=3/4
18/24=3/4
Answer: he had 68 cherries in the start
Step-by-step explanation:
We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':
Subtract 6y to both sides:
Divide -2 to both sides:
Plug in 3y + 17 for 'x' in the first equation:
Distribute 5:
Combine like terms:
Subtract 85 to both sides:
Divide 17 to both sides:
This is the y-coordinate of the solution.
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.
