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Brrunno [24]
3 years ago
13

Which set of ordered pairs is a function

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0

Answer:

(1, 1), (2, 2), (3, 3)

Step-by-step explanation:

it is increasing at a constant rate.

11Alexandr11 [23.1K]3 years ago
7 0

Answer:

(1, -1), (2,-2), (3, -3) (1, 1), (2, 2), (2, -2)

Step-by-step explanation:

some of them a (1-1) and some is (2, 2)

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Arjun and Jessica each improved their yards by planting daylilies and shrubs. They bought their
Anvisha [2.4K]

Hi there! Let me know if you have questions about my answer:

One shrub is $11.

One daylily is $4.

Step-by-step explanation:

To find the cost of each item, write a system of equations, one equation for what each person bought, and solve for each variable.

<u>Define your variables.</u>

let 'd' be the cost of one daylily

let 'r' be the cost of one shrub

<u>Create a system using the variables and information from the question.</u>

Write an equation for what Arjun bought:

5d + 7r = 97            5 daylilies, 7 shrubs, totaling $97

Write an equation for what Jessica bought:

2d + 11r = 129          2 daylilies, 11 shrubs, totaling $129

<u>Solve the system.</u>

I will solve the system algebraically, using the substitution method. Isolate one variable in one of the equations.

I will isolate 'd' in Jessica's equation:

2d + 11r = 129              Start with Jessica's equation

\frac{2d + 11r}{2} = \frac{129}{2}                  Divide everything in the equation by 2

d + \frac{11r}{2} = \frac{129}{2}                 Simplify

d = \frac{129}{2} - \frac{11r}{2}                 Isolate 'd' by subtracting \frac{11r}{2} from both sides.

Now you have an expression for 'd'.

Substitute Arjun's equation with the expression for 'd'. Solve for 'r' to find the cost of one shrub.

5d + 7r = 97                      Start with Arjun's equation

5(\frac{129}{2} - \frac{11r}{2}) + 7r = 97       Substitute 'd' for  d = \frac{129}{2} - \frac{11r}{2}

\frac{5*129}{2} - \frac{5*11r}{2} + 7r = 97      Distribute the 5

\frac{645}{2} - \frac{55r}{2} + 7r = 97            Simplify the numerators

\frac{645}{2} - \frac{55r}{2} + \frac{14r}{2} = 97          Change 7r to a fraction over 2

\frac{645}{2} - \frac{41r}{2} = 97                    Combine like terms, the terms with 'r'

\frac{645-41r}{2} = 97                       Simplify

645-41r = 194                 Multiply both sides by 2

-41r = 194-645              Subtract 645 from both sides

-41r = -451                     Divide both sides by –41

r = 11                                Solved for cost of one shrub

Substitute 'r' for 11 using either Arjun's or Jessica's equation. Then, isolate 'd' to solve for the cost of one daylily.

I will use Arjun's equation.

5d + 7r = 97                   Start with Arjun's equation

5d + 7(11) = 97              Substitute 'r' for r = 11

5d + 77 = 97                   Simplify. Subtract 77 from both sides.

5d = 20                           Divide both sides by 5.

d = 4                              Solved for the cost of one daylily

I hope this helped! Check out a similar problem about solving systems here to learn more:

brainly.com/question/11103098

7 0
2 years ago
What is 90 added to 85
MakcuM [25]
90+85=175
Thats the answer
8 0
8 months ago
Read 2 more answers
George and Paul use a metal alloy that is 18.1% copper to make jewelry. How many ounces of an alloy that is 14% copper must be m
ella [17]

Answer:

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

Step-by-step explanation:

Each ounce of the 14% copper contains 0.14 ounce of pure copper.

Each ounce of the 23% copper contains 0.23 ounce of pure copper.

Each ounce of the 18.1% copper contains 0.181 ounce of pure copper.

Use x ounces of the 14% and y ounces of the 23% to make 90 ounces of 18.1% alloy.

x+y  = 90

y = 90-x

0.14x + 0.23y = 0.181·90

0.14x + 0.23(90-x) = 16.29

0.14x + 20.7 - 0.23x = 16.29

-0.09x + 20.7 = 16.29

4.41 = 0.09x

x = 49

y = 90-x = 41

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

7 0
2 years ago
Find the missing angle measures?
PIT_PIT [208]

Answer:

x)45

y)45

z)135

Step-by-step explanation:

5 0
2 years ago
Subtract. (−9.6x+7)−(7.3x−9) Enter your answer, in simplified form, in the box.Can somebody help me with this equation?
ZanzabumX [31]
-16.9x + 16 is the correct answer. You have to remove the parentheses, collect the like terms, and then simplify.
8 0
2 years ago
Read 2 more answers
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