If we say:
x = the smaller numbers we want to find
y = the larger number we want to find
Then, we can formulate two equations using the information given:
x + y = 68 [1]
y - 4x = 3 [2]
Now, we can solve simultaneously:
Rearrange [1] & [2] in terms of y:
y = 68 - x [1]
y = 4x + 3 [2]
Now equate them and solve for x:
68 - x = 4x + 3
5x + 3 = 68
5x = 65
x = 13
Sub x-value into either [1] or [2]:
y = 68 - (13)
y = 55
Length = w+3
P = 2L +2W
50 = 2(w+3) + 2w
50 = 2w +6 +2w
50 = 4w +6
50-6 =4w-6
44 = 4w
44/4 = 4w/4
w = 11
l = 11+3
l = 14
50 = 2L+2W
50 = 2(14) + 2(11)
50 = 28 +22
50=50
Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.
0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h
To find the y value of the vertex, plug in 1/2 to the equation.
(1/2)^2 - 2(1/2) + 5 = 4.25 = k
y = (x - 0.5)^2 + 4.25
Answer:A is a quadratic function
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. If you solve the function, y= 2x^2+x-6.
