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3 years ago

Find the domain and range of the relation, and determine whether it is a function.

1 answer:

7 0

The domain is all the x values so {2,-4, 1, 2, -1}
The range is all the y values so {1, 5, 7, -3, 2}

Yes, it is a function because each item in the domain matches one item in the ranges.

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Two customers went to a post office to buy postcards and large envelopes. Each postcard

astraxan [27]

The right answer is Option A.

Step-by-step explanation:

Let,

x be the postcards

y be the large envelops

According to given statement;

14x+5y=12 Eqn 1

10x+15y=24.80 Eqn 2

Multiplying Eqn 1 by 3;

$3(14x+5y=12)\\42x+15y=36\ \ \ Eqn \ 3$

Subtracting Eqn 2 from Eqn 3;

$(42x+15y)-(10x+15y)=36-24.80\\42x+15y-10x-15y=11.20\\32x=11.20\\$

Dividing both sides by 32

$\frac{32x}{32}=\frac{11.20}{32}\\x=0.35$

Putting x=0.35 in Eqn 1;

$14(0.35)+5y=12\\4.90+5y=12\\5y=12-4.90\\5y=7.10$

Dividing both sides by 5

$\frac{5y}{5}=\frac{7.10}{5}\\y=1.42$

Therefore, one large envelope costs $1.42

The right answer is Option A.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago

35%Daisy is cooking pasta. The recipe says she needs 480 grams of pasta for 4 people. How many kilograms will she need for 14

pav-90 [236]

4 people = 480 grams of pasta

1 person = 480 ÷ 4 = 120 grams of pasta

14 people = 120 x 14 = 1680 grams of pasta

1680g = 1680 ÷ 1000 = 1.68 kg

Answer: 1.68 kg of pasta

4 0

3 years ago

Liam has 9/10 gallon of paint for painting the bird houses he sells at the craft fair each birdhouse requires 1/20 gallon of pai

Rina8888 [55]

So to get the fractions easier to understand you need to put them on the same level you are on. So change the 9/10 gallons to 18/20 ( this makes them easier to deal with the 1/20)
so put 1/20 into 18/20. Liam can paint 18 bird houses.

6 0

3 years ago

3 apples for $0.59 unit rate answer?

scZoUnD [109]

Answer:

$0.1966666

Step-by-step explanation:

$3\overline{|\smallspace59}\:\:\:\:\:$

$\begin{matrix}\:\:\:\:\emptyspace1\emptyspace9.\:\:\:\:\:\:\:\:\:\:\:\\ 3\overline{|\smallspace59.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\emptyspace2\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace2\emptyspace7}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}$

3 0

2 years ago

The width of a rectangle is represented by 5 + 2y. The length is twice as long as the width. What is the perimeter of the rectan

Lilit [14]

The answer is 12y+30.
Twice the width would be 10+4y, so the length is 10+4y.
To find the perimeter, we can do 2(5+2y) + 2(10+4y).
That equals 10+4y+20+8y.
Which, equals 12y+30.

3 0

3 years ago