Answer:
Step-by-step explanation:
y=(x-a)²+h
vertex (a,h)
axis of symmetry x-a=0 or x=a
x-intercepts (none)
y-intercepts (none)
graph upper parabola (don't understand what it requires )
Domain (-∞,∞)
Range [0,∞)
X = total boats
2/3x are white....so the remaining boats = 1/3x
5/8 of the remaining boats are blue.....5/8 * 1/3 = 5/24x are blue
2/3 + 5/24 = 16/24 + 5/24 = 21/24 are blue and white......so 3/24 are red
3/24x = 6
x = 6 * 24/3
x = 144/3
x = 48 total boats in the marina <==
2/3(48) = 32 white
5/24(48) = 10 blue
3/24(48) = 6 red
8/9 > 4/9
Meredith has more pens to pencils than Brody
Answer:
{x,y,z}={5,−3,3}
Step-by-step explanation:
[1] 2x + 4y + z = 1
[2] x - 2y - 3z = 2
[3] x + y - z = -1
// Solve equation [3] for the variable y
[3] y = -x + z - 1
// Plug this in for variable y in equation [1]
[1] 2x + 4•(-x +z -1) + z = 1
[1] -2x + 5z = 5
// Plug this in for variable y in equation [2]
[2] x - 2•(-x +z -1) - 3z = 2
[2] 3x - 5z = 0
// Solve equation [2] for the variable x
[2] 3x = 5z
[2] x = 5z/3
// Plug this in for variable x in equation [1]
[1] -2•(5z/3) + 5z = 5
[1] 5z/3 = 5
[1] 5z = 15
// Solve equation [1] for the variable z
[1] 5z = 15
[1] z = 3
// By now we know this much :
x = 5z/3
y = -x+z-1
z = 3
// Use the z value to solve for x
x = (5/3)(3) = 5
// Use the x and z values to solve for y
y = -(5)+(3)-1 = -3
Solution :
{x,y,z} = {5,-3,3}
To answer this item, we are instructed that the price of the ticket for the children is equal to x. Since, we are also given that this is 5.75 less than the price of tickets for the adults, we may express this as follows,
x = n - 5.75
n is the price of ticket for the adults. This can be calculated by transposing 5.75 to the other side of the equation,
n = x + 5.75
The answer is the third choice.
