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4 years ago

Does this set of ordered pairs represent a function? Why or why not?

Mathematics

1 answer:

belka [17]4 years ago

3 0

Answer:

Step-by-step explanation:

Recall that for a function to be valid, each input value of x must give us one and only one unique output value for y.

in this case we can see that one of the data sets is (3,-1)

which means that an input of 3 gave an output of -1

but we also see that another data set (3,1)

in this case an input of 3 gave an output of 1.

Because the same x input gives 2 different y outputs, this is not a function.

the answer is A

You might be interested in

When dividing the polynomial 3x3 - 5x2 - 4x + 4 by (x - 2), the remainder is 0, making (x - 2) a factor.

Ne4ueva [31]

(3x^3 - 5x^2 -4x + 4) / (x-2) = (3x-2)(x+1) when x ≠2

3 0

3 years ago

The gross weight of a truck containing 30 pigs is 8 tons 1,123 pounds and 6 ounces. The average weight of one pig is 95 pounds 1

irakobra [83]

Answer: The net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.

The weight of the empty truck is 7 tons 254 pounds 10 ounces.

Step-by-step explanation:

Since we have given that

The gross weight of a truck containing 30 pigs = 8 tons 1123 pounds 6 ounces

Average weight of one pig = 95 pounds 10 ounces

Now,

We know that

$1\text{ pound}=16\text{ ounces}$

So,

$\text{Gross weight of truck containing 30 pigs}\\=8\text{ tones }1123\times 16+6\text{ ounces}\\=8\text{ tons }17974\text{ ounces}$

Similarly,

$\text{ average weight of one pig }\\=95\times 16+10\text{ ounces}\\=1530\text{ ounces}$

So, Net weight of the pigs in the truck

$1530\times 30\\ =45900\text{ ounces}\\\\=\frac{45900}{16}\\\\=2868\text{ pounds }12\text{ ounces}\\\\=1\text{ ton }868\text{ pounds }12\text{ ounces }$

So, the net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.

Now, we'll find the weight of the empty truck is given by

$\text{Gross weight of a truck containing} -\text{ Net weight of pigs in the truck}\\=8\text{ tons}1123\text{ pounds}6\text{ ounces}-1\text{ton }868\text{ pounds }12\text{ounces}\\=(8\times 2000\times 16+1123\times 16+6)-(1\times 2000\times 16+868\times 16-12)\\=273974\text{ ounces}-45900\text{ ounces}\\=228074\text{ounces }\\=7\text{ tons }254\text{ pounds }10\text{ ounces}$

Hence, the weight of the empty truck is 7 tons 254 pounds 10 ounces .

4 0

3 years ago

It took 2 hours to hike 4 2/3 miles what is the average speed in miles per hour

snow_lady [41]

2 1/3 an hour.

4 2/3 DIVIDED BY 2

=2 1/3

4 0

3 years ago

Read 2 more answers

A recipe for brownies calls for 4 eggs and 1 1/2 cups of flour. If the recipe makes 15 brownies, how many cups of flour will be

anzhelika [568]

Answer:

I think it is 6 cups of flour.

Step-by-step explanation:

15 x 4 = 60

1.5 x 4 = 6

5 0

3 years ago

Read 2 more answers

What is an equation in point-slope form of the line shown below? (-2,1) (4,4)

Natali [406]

Answer:

y = 1/2x +2

Step-by-step explanation:

y-y1= m (x-x1)

first find slope

m= 4-1 / 4 - (-2)

m= 3 / 4+2

m= 3/ 6

m = 1/2

you can pick any of the two points to solve for point slope form

y-4 = 1/2 (x-4)

y-4= 1/2x -2

add 4 on both sides

y = 1/2x +2

y-1= 1/2 (x- (-2))

y-1= 1/2 (x+2)

y-1= 1/2x +1

add 1 on both sides

y= 1/2x +2

you should get the same answer with any of the two points you chose

you might want to use a calculator to solve this

if you want to use both points to make sure the answer is correct, you can

if you don't get the same answer with both points then u did something wrong during the equation.

4 0

3 years ago