Answer:
4
Step-by-step explanation:
3x² + 2x - 4
3(-2)² + 2(-2) - 4
3(4) - 4 - 4
12 - 4 - 4
12 - 8
= 4
The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:
y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.
Substituting the given info into the equation y-k = a(x-h)^2, we get:
3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is
y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.
Answer:
Interest for 1 year is $80.50
Step-by-step explanation:
Simple interest is given by the formula
I =PRT
where I is the interest, P is the principal, R is the rate in decimal form, and T is the time.
P =3500
R=.023
T = 1 (1 year)
I = (3500) * (.023) (1)
I = 80.50
The answer to that is -3a+4b+12x-9y-4
The answer is 12.3 cents. Hope this helped :))
