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trapecia [35]
2 years ago
10

What is the range and domain of the function p(t)=-8t+100

Mathematics
1 answer:
Aleks [24]2 years ago
5 0

Answer:

Real numbers for both

Step-by-step explanation:

The domain of a function is the set of values that the unknown t can adopt. For this function, t can be any real number as there are no restrictions for the t. Ir can be any positive number, 0, negative numbers, fractions, irrational numbers, whatever number you like.

The range of a function is the values that p(t) adopt when we replace the t value with any number. Here, again, it range is all real numbers. If you want p(t) to be positive it is possible, negative is possible, 0 is possible, and so on. If you like, you can verify it by replacing the numbers you like.

Something to know is that linear polynomial functions ALWAYS have their domains and ranges in real numbers.

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The hypotenuse of a 45 45 90 triangle measures 24 inches. what is the length of one leg of the triangle?
frosja888 [35]

Answer:

12\sqrt{2}\ in

Step-by-step explanation:

we know that

A 45\°-45\°-90\° right triangle has two equal legs

Let

x-----> the length side of the leg of the triangle

y------> the length side of the hypotenuse

sin(45\°)=cos(45\°)=\frac{\sqrt{2}}{2}

cos(45\°)=\frac{x}{y}

so

\frac{x}{y}=\frac{\sqrt{2}}{2}

in this problem we have

y=24\ in

substitute the value of y and solve for x

\frac{x}{24}=\frac{\sqrt{2}}{2}

x=24\frac{\sqrt{2}}{2}

x=12\sqrt{2}\ in

5 0
3 years ago
Read 2 more answers
Solve for b.<br><br> b − –573 = 714
Ne4ueva [31]

Answer:

b = 141

Step-by-step explanation:

b − –573 = 714

Subtracting a negative is adding

b + 573 = 714

Subtract 573 from each side

b − 573+573 = 714-573

b =141

8 0
3 years ago
A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were
velikii [3]

Answer:

2044 cups

Step-by-step explanation:

In a quart, there are 4 cups:

1 quart = 4 cups

In 512 quarts, there will be:

4 * 512 cups = 2048 cups

If only 4 cups remained after watering, then the number of cups used to water the plants is:

2048 - 4 = 2044 cups

7 0
3 years ago
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Simplify please (10 points)
Ludmilka [50]

Answer:

The answer is 4th point

Step-by-step explanation:

√5(10 - 4√2)

= (√5×10)-(√5×4√2)

= 10√5 - 4√10

7 0
3 years ago
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What is <br> not a characteristic of a point
azamat

Answer:

this does not make scence pls make more scence in the next question

3 0
3 years ago
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