Answer:
Pretty sure it is D.
Step-by-step explanation:
How I think the narrator was thinking: I mean, yes, its a wedding on Saint Patricks, but you still need to dress appropriatley (its a wedding)
Answer:
8
Step-by-step explanation:
The function is graphed as shown below
Part A:
We use the formula
![- \frac{b}{2a}](https://tex.z-dn.net/?f=-%20%5Cfrac%7Bb%7D%7B2a%7D%20)
to find the vertex of the function. A quadratic function of the form of
![a x^{2} +bx+c](https://tex.z-dn.net/?f=a%20x%5E%7B2%7D%20%2Bbx%2Bc)
and equating this form to the given function
![- x^{2} +20x-75](https://tex.z-dn.net/?f=-%20x%5E%7B2%7D%20%2B20x-75)
, we have
![b=20](https://tex.z-dn.net/?f=b%3D20)
and
![a=-1](https://tex.z-dn.net/?f=a%3D-1)
.
Substituting
![a](https://tex.z-dn.net/?f=a)
and
![b](https://tex.z-dn.net/?f=b)
into the vertex formula, we have
![x=- \frac{20}{2(-1)}=10](https://tex.z-dn.net/?f=x%3D-%20%5Cfrac%7B20%7D%7B2%28-1%29%7D%3D10%20)
, as shown in the graph
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising
![- x^{2} +20x-75=0](https://tex.z-dn.net/?f=-%20x%5E%7B2%7D%20%2B20x-75%3D0)
![-( x^{2} -20x+75)=0](https://tex.z-dn.net/?f=-%28%20x%5E%7B2%7D%20-20x%2B75%29%3D0)
![x^{2} -20x+75=0](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-20x%2B75%3D0)
![(x-5)(x-15)=0](https://tex.z-dn.net/?f=%28x-5%29%28x-15%29%3D0)
![x=5](https://tex.z-dn.net/?f=x%3D5)
and
![x=15](https://tex.z-dn.net/?f=x%3D15)
, as shown in the graph
The two values means that the company makes no profit when they either produce 5 or 15 photos
Answer:
Step-by-step explanation:
Sammi has 2 1/3 feet of rope.
To write this type of fraction = 2 + 1/3 - The integer 2 in the expression is the amount of feet of rope that was cut.
Thus to know the number of 1/2 foot pieces produced, let this number be x. Thus, we have 1/2 of x pieces = 2
x/2 = 2; x = 2x2 = 4.
Thus, Sanmi has 4 pieces of 1/2 foot long piece each of rope.
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped