Explanation:
The clear rendering reads;
In the north bank there are four boxes for clients to withdraw money at the beginning of the morning, the four boxes have different amounts of coins and bills. Calculate how much each client will receive according to the box they go to in case they cannot extract the total, explain why?
Answer:
<h3>
f(x) = - 4x² - 20x + 56 </h3>
Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
<u> f(x) = -4(x - 2)(x + 7) </u>
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
<u> f(x) = -4x² - 20x + 56 </u>
Answer:
y = 5
Step-by-step explanation:
Since BD bisects ∠ABC , then
∠ABD = ∠CBD ← substitute given angle values
5y - 3 = 2y + 12 ( subtract 2y from both sides )
3y - 3 = 12 ( add 3 to both sides )
3y = 15 ( divide both sides by 3 )
y = 5
Answer:
Step-by-step explanation:
Let X be number of woodland bicyles and Y grande expedition
Our objective is to maximize profit
Z = 250x+350Y
Constraints are: 2x+3y<450 and
x+y<375
(given)
Solution gives negative y. Hence intersecting point is not within constraint.
So choices satisfying the constraints would be min of 225, 375 for x and min of 150,375 for x
i.e x=225 and y =150
To maximize revenue 225 Woodland and 150 Grande to be produced
Answer:
the answer is 2,500 cm^3
Step-by-step explanation:
