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3 years ago

Which of the following sets of ordered pairs represents a function?

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Shouldn't the answer be: (-1,4),(1,4),(2,4),(-2,4)

MA_775_DIABLO [31]3 years ago

4 0

<h2>Answer with Step-by-step explanation:</h2>

set of ordered pair is a function if no input value has two output values

i.e. if ordered pair is of form (x,y) then no value of x will have more than one values of y

{(-2,1),(-1,3),(2,1),(-2,2)}

-2 has two output values

so, it is not a function

{(-1,4),(1,4),(2,4),(-2,4)}

It is a function

{(-1,3),(-1,4),(-1,5),(-1,6)}

-1 has m ore than one output values

so, it is not a function

{(2,2),(3,3),(4,4),(2,1)}

2 has two output values

so, it is not a function

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A company can send a maximum of 40 workers to complete a

rewona [7]

Answer:

Step-by-step explanation:

For the sake of the problem, let's make female workers "x" and male workers "y".

x+y<40 This equation shows that the total number of workers has a max of 40.

30x+20y<1,000 This equation shows that the total cost the manager pays ($30 to each woman, $20 to each man) has a max of $1,000.

Now you can solve for x and y.

X+y<40

-y -y

X<-y+40

Substitute -y+40 in for X in the second equation

30(-y+40)+20y<1,000

-30y+1200+20y<1,000 Distribute

-10y+1,200<1,000 Combine like terms

-10y<-200 Subtract 1,200

y>20 Divide by -10; flip the sign

Since y>20, and y=male workers, you now know that the minimum

number of male workers he should send is 20

4 0

3 years ago

What is the vertex? y=2x^2+28x-8

ra1l [238]

Fist convert the equation to vertex form

y = 2(x^2 + 14x) - 8
y = 2 [(x + 7)^2 - 49] - 8
y = 2(x + 7)^2 - 106

So the vertex is at (-7,-106)

5 0

3 years ago

Read 2 more answers

Leah claims that these figures are not similar. When she compared the heights, she wrote 27. Then she compared the bases and got

Flauer [41]

Answer:

<h2>Leah is actually wrong, because those rectangles are similar.</h2>

Step-by-step explanation:

Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.

In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.

$\frac{21}{6}=3.5$