The answer fam is .... The x-intercept represents Yvonne's account balance at the beginning of the year. This statement is False............The slope represents the amount Yvonne deposits to her account each week. This statement is True.........<span>Yvonne no longer has an overdraft balance 4 weeks after the beginning of the year. This statement is True</span>
F(x) = (x - 8)2-6
if you simplify the equation you’re left with f(x) = (x - 8) - 4. there are two transformations that can be derived from this equation: translate horizontally right 8 and translate vertically down 4. because the parabola starts in quadrant 1, the parabola needs to be translated right opposed to left to match this. since the parabola’s vertex is in the negative quadrant 4, the function needs to be moved down which matches the second vertical translation the equation gives us.
Answer: 20 unit.
Step-by-step explanation:
Since, Here the vertices of the rhombus defg are d(1, 4), e(4, 0), f(1, –4), and g(–2, 0).
Where, de, ef, fg, gd are sides of the rhombus defg.
By the distance formula,
Thus, the side of rhombus = 5
By the property of rhombus,
de = ef = fg = gd = 5 unit.
Thus, the perimeter of the given rhombus defg = de + ef + fg + gd = 5+5+5+5 = 20 unit
Answer:
a.) C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH b.) $170
Step-by-step explanation:
(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:
Marginal cost (MC) = change in total cost/change in quantity
Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:
Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k
where k is a constant.
The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k
C(q) = -(1/4)*(q^3 - 12q^2 + 48q - 64) + k = -(1/4)*q^3 + 3q^2 - 12q -16 + k
Thus:
C(q) = -(1/4)*q^3 + 3q^2 - 12q + OH
(b) C(14) = -(1/4)*14^3 + 3*14^2 - 12*14 + 436 = -686 + 588 - 168 + 436 = $170
If Leon bought trail mix worth of $ 6.24, and he paid 0.78 per pound,
6.24/0.78= 8 lbs
