MATHEMATICS COLLEGE

1. Line L passes through point (-1, 2) and (-3,-2) on a coordinate plane. LineM passes through the points (1.1) and (-1, W). For what value of W will make
line L and line M parallel.

Answers

Answer 1
Answer:

Answer:

Slope of a line passing through (x_(1),y_(1)) and (x_(2) , y_(2)) is given by:

(y_(2)-y_(1) )/(x_(2)-x_(1))

Now,

Slope of line L, (m) = (-3-(-1))/(-2-2) = 0.5

Slope of line M, (n) = (-1-1)/(W-1) = (-2)/(W-1)

If the lines L and M are parallel to each other,

m = n

or, 0.5 = (-2)/(W-1)

or, 0.5 (W - 1) = -2

or, W - 1 = -4

or, W = -3

Therefore the required value of W is -3.

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Consider the sequence below. 3, 1, 1/3, 1/9,...

select the explicit function which defines the sequence.

A.) f(n) = 1/3 • 2^(n - 1)

B.) f(n) = 2 • (1/3)^(n - 1)

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D.) f(n) = 3 • (1/3)^(n - 1)

Answers

ANSWER

The explicit formula that defines the sequence is
f(n) = 3 ( (1)/(3) ) ^(n - 1)


EXPLANATION


The given sequence is
3,1, (1)/(3) , (2)/(9) ,...


The first term of this sequence is
a = 3
We can find the common ratio by expressing a subsequent term over a previous term and simplifying it.


The common ratio is
r = (1)/(3)


The formula for finding the nth term of the given geometric sequence is given by,

f(n) = a {r}^(n - 1)




We now substitute the value of the first term and the common ratio in to the above formula to obtain,



f(n) = 3( (1)/(3) )^(n - 1)


The correct answer is option D.

Answer:

D

Step-by-step explanation:

A manufacturer uses 34 yard of fabric in each skirt.How many yards of fabric will the manufacturer use in 4 skirts? in 7 skirts? in 9 skirts?

Answers

Answer:

She would use 136 yards in 4 skirts, 238 yards in 7 skirts, and 306 yards in 9 skirts. Hope this helps

Step-by-step explanation:

Members of a softball team raised $2039.50 to go to a tournament. They rented a bus for $1157.50 and budgeted $49 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

Answers

Answer:

18 = number of players

Step-by-step explanation:

Giving the following information:

Members of a softball team raised $2039.50 to go to a tournament. They rented a bus for $1157.50 and budgeted $49 per player for meals.

To calculate the total number of players they can bring, we need to use the following formula:

Total amount of money= fixed cost + unitary variable cost*number of players

2,039.5= 1,157.5 + 49*number of players

882/49= number of players

18 = number of players

The team can bring a maximum of 18 players to the tournament given the amount they raised and the budgeted expenses.

Let's use "x" to represent the number of players the team can bring to the tournament.

The total amount raised by the team is $2039.50,

and they rented a bus for $1157.50. Each player's meal will cost $49.

The total amount spent on the bus and meals for x players can be represented as follows:

Total Expenses = Bus Cost + (Number of Players) * (Cost per Player's Meal)

                           = $1157.50 + x * $49

Since the team's total expenses should not exceed the total amount raised,

$2039.50 ≥ $1157.50 + x * $49

$2039.50 - $1157.50 ≥ x * $49

$882 ≥ x * $49

Now, divide both sides by $49 to solve for x:

x ≤ $882 / $49

x ≤ 18

So, the team can bring a maximum of 18 players.

Learn more about Inequality here:

brainly.com/question/20383699

#SPJ3

Tom is the deli manager at a grocery store.He needs to schedule employees to staff the deli department at least 260 person-hours per week.Tom has one part-time employee who works 20 hours per week.Each full-time employee works 40 hours per week.Write an inequality to determine f, the number of full time employees Tom must schedule, so that his employees will work at least 260 person-hours per week. Solve and graph. !PLEASE HELP!

Answers

I hope this is right but:
Let n=number of full time employees

260<=20+n*40
260-20<=N*40
240<=n*40
n>=240/40
n>=6 full time employees

which means he would have to hire at least 6 or more fully time employees

Though I'm not sure if the attached file is the graph you are looking for 

Solve for x using
cross multiplication.

Answers

the answer would be x= -39

What’s the correct answer for this question?

Answers

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

B

Step-by-step explanation:

I put the answer in an atachement
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