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kotykmax [81]
2 years ago
11

Consider the equation StartFraction x over 5 EndFraction minus 2 = 11, where x represents the number of basketball players that

have signed up for a new league. What is a possible scenario that would be modeled by this equation? Consider how many teams in the league and the number of players on each team this equation could describe
Mathematics
1 answer:
Free_Kalibri [48]2 years ago
6 0

Answer:

just copy and paste below

Step-by-step explanation:

Step-by-step explanation:Sample Response: The equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. There will be 11 players on each team.

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Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%
ladessa [460]

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

a = 10000

d = 300

Therefore, the sum of the first 4 terms, S4 would be

S4 = 4/2[10000 × 2 + (4 - 1)300]

S4 = 2[20000 + (3)300]

S4 = 2 × 20900

S4 = 41800 vehicles

6 0
2 years ago
Which of these statements best describes the relation shown in Item 1?
Oksi-84 [34.3K]

Answer:

The relation is 'a function that is one-to-many'.

Step-by-step explanation:

From the table, we can see that element 10 i.e. y=10 in the range, corresponds to two elements i.e. x=-5, and x=5 in the domain.

In other words, the given table represents the many-to-one function as an element of the range y = 10 corresponds to more than one element in the domain.

Therefore, the relation is 'a function that is one-to-many'.

3 0
2 years ago
In the diagram, . To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used? WV and XY
My name is Ann [436]

Step-by-step explanation:

To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent. Depending on which side is given to you, choose the one that conforming to it. For example:

Figure 1:

Side HJ is congruent with side ML, Angle J is congruent with angle M, Side IJ is congruent with side KM (SAS)

~

5 0
2 years ago
Read 2 more answers
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select thr
AlladinOne [14]

Answer:

first one and last two

Step-by-step explanation:

B)

3 0
2 years ago
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Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?
Nady [450]
For this case we have the following polynomial:
 x ^ 2 = 12x - 15

 The first thing to do is to place the variables on the same side of the equation.
 We have then:
 x ^ 2 - 12x = -15

 We complete the square by adding the term (b / 2) ^ 2 on both sides of the equation.
 We have then:
 x ^ 2 - 12x + (-12/2) ^ 2 = -15 + (-12/2) ^ 2

 Rewriting we have:
 x ^ 2 - 12x + (-6) ^ 2 = -15 + (-6) ^ 2

x ^ 2 - 12x + 36 = -15 + 36
 
(x-6) ^ 2 = 21
 x-6 =+/- \sqrt{21}
 Therefore, the solutions are:
 x = 6 - \sqrt{21}
 x = 6 + \sqrt{21}
 Answer:
 
the solution set of the equation is:
 
x = 6 - \sqrt{21}
 x = 6 + \sqrt{21}
3 0
2 years ago
Read 2 more answers
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