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3 years ago

The table below shows a relationship between the variables x and y. Explain

Mathematics

1 answer:

larisa [96]3 years ago

6 0

There is a rule:

one input(x-value) can only have one output(y-value) in order to be a function.

So if one input has more than one output, it is not a function.

But if an output has more than one input, it is still a function.

This table does not represent a function because the inputs: 0, 1, 2,

have more than one output.

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What is the answer 3x+(x-8)=120

Yuliya22 [10]

Combine like terms.

3x+(x-8)= 120

4x-8= 120

Add 8 to both sides.

4x= 128

Divide by 4 into both sides.

x= 32

I hope this helps!
~cupcake

8 0

3 years ago

One state lottery has 900 prizes of $1; 145 prizes of $10; 30 prizes of $60; 5 prizes of $325; 2 prizes of $1,110; and 1 prize o

Readme [11.4K]

Answer:

Step-by-step explanation:

The detailed step by step calculation is as shown in the attached file

5 0

3 years ago

Find an angle between 0 and 2pi that is coterminal with the following angle.<br><br> 32pi/9

never [62]

<span>To do these you will be adding or subtracting  2pi (or integer multiples of .

Since the given angles are in fraction form, it will help to have 2pi  in fraction form, 2pi=10/5=6pi/3=4pi/2=18pi/9 NOTE: this>(/) stands for over like 1 over 2 EX. 1/2

too, so the addition/subtraction is easier.

Hint: When deciding if you have a number between 0 and 2pi, compare it to the fraction version of 2pi that you've been adding/subtracting.

For 17pi/5...
First we can see that 17pi/5 is more than 10pi/5 (aka 2pi). So we need to start subtracting: 17pi/5 - 10pi/5 = 7pi/5

Now we have a number between 0 and 10pi/5. So 7pi/5 is the co-terminal angle between 0 and 2pi.

I'll leave the others for you to do. Just remember that you might have to add or subtract  multiple times before you get a number between 0 and 2pi.
P.S don't add or subtract at all if the number starts out between 0 and 2pi.</span>

5 0

3 years ago

A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which

exis [7]

The cat travels 0.7 times as far as the dog on each stride, but it takes 1.3 times as many strides in a given time interval. Hence the cat's distance relative to the dog's is 0.7*1.3 = 0.91. This is less distance than the 1 unit the dog covers in the same time.

The dog will win the race.

3 0

3 years ago

Read 2 more answers

After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms

Anton [14]

Answer:

k = 0.006
T = 48 °F

Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

(31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

(t/35)ln(31/38) = -kt

k = ln(38/31)/35 ≈ 0.00581711

To the nearest thousandth, this is ...

k ≈ 0.006

Using this in the equation for temperature, we have ...

T = 72 -38e^(-0.006t)

Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about

T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49

T ≈ 48 °F

The value of k is about 0.006, and the turkey temperature is about 48 °F.

4 0

3 years ago