The set of ordered pairs (1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4) represents a relation. Is the relation a function?
Vladimir [108]
Answer:
Step-by-step explanation:
This relation is not a function because the x value repeats. (3,8) and (3,6)
If you plot these points, they won't past the vertical line test
Answer: 5x² + 13x - 6 = 0
Step-by-step explanation:
Represent the roots with X i.e.
X = -3 ; X = 2/5
Moving the values of X over the equator we have;
X + 3 = 0 ; 5X - 2 = 0
Equating both equations to zero we can obtain;
(X + 3)(5X - 2) = 0
Opening the brackets we get;
5x² - 2x + 15x - 6 = 0
The result of the above equation gives;
5x² + 13x - 6 = 0
I have attached a screenshot with the images of the two popcorn bags used by the theater.
Part (a):Bag A:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 inBag B:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 inPart (b):To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3)
Surface area = 12 + 64 + 48
Surface area of bag A = 124 in²Bag B:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4)
Surface area = 16 + 48 + 48
Surface area of bag B = 112 in²From the above calculations, we can deduce that
the theater should choose bag B in order to reduce the amount of paper needed.
Hope this helps :)
Answer:
Which is the output of the formula =AND(12>6;6>3;3>9)?
A.
TRUE
B.
FALSE
C.
12
D.
9
Step-by-step explanation:
Answer:
If she buys a boat without a down payment, then the affordable price is 5,700.
Step-by-step explanation:
Her bank charges 5% interest per year.
Let, payment = p,
p = 250(\frac{1-(1+\frac{0.05}{12})^-24}{\frac{0.05}{12}})
p = 5698.47
After round off p = 5700