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AnnyKZ [126]
3 years ago
5

{(5,4),(4,7),(5,3)} is this a function. Explain why?

Mathematics
2 answers:
eimsori [14]3 years ago
4 0
Hi there!

This isn't a function, because the x value of 5 (or domain value) is paired with multiple y values (range values).

Since both the coodernates (5,4) and (5,3) have 5 as the x values, then it isn't a function.

Hope this helps!
Andreyy893 years ago
3 0
No, this is not a function because there is two x values there can't be two x values to be constant and true
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VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV this is middle school math
Yuri [45]

Answer:

first method

<u>2</u><u>2</u>=<u>5</u>

7. x

we cross multiply to get

<u>2</u><u>2</u><u>x</u>= <u>5</u><u>×</u><u>7</u>

22. 22.

x= <u>3</u><u>5</u>

22

=1.59

second method

<u>2</u><u>2</u>=<u>5</u>

7. x

we multiply the denominators to get 7x

then we multiply each term by 7x

7x×<u>2</u><u>2</u> = <u>5</u>×7x

7. x

here the 7 and 7 will cancel out and the x and x will cancel out to get

<u>2</u><u>2</u><u>x</u>= <u>3</u><u>5</u>

22. 22

= 1.59

5 0
3 years ago
At the Boston Marathon there were 20,000 runners who finished the race. Each runner ran a distance of 26 miles. If you add toget
andre [41]

Answer:

the runners have gone 20.8 times around the globe all together

Step-by-step explanation:

At the Bostom Marathon, we have a total of

N = 20,000 runners

We know that each runner ran a distance of

d = 26 miles

Therefore, the total distance travelled by all runners combined is:

D=Nd=(20,000)(26)=5.2\cdot 10^5 mi

We know that the circumference of the Earth is

c=2.5\cdot 10^4 mi

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

n=\frac{D}{c}

And substituting the values, we find:

n=\frac{5.2\cdot 10^5}{2.5\cdot 10^4}=20.8

So, the runners have  gone 20.8 times around the globe all together.

4 0
3 years ago
The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th
Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

\displaystyle \bar C(X)=\frac{C(x)}{x}

The cost function is:

C(x) = -20x+1681

And the average cost function is:

\displaystyle \bar C(X)=\frac{-20x+1681}{x}

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

\displaystyle \frac{-20x+1681}{x}\le 21

Multiplying by x:

-20x+1681 \le 21x

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

1681 \le 21x+20x

1681 \le 41x

Swapping sides and changing the sign:

41x \ge 1681

Dividing by 41:

x\ge 41

The least number of items to produce is 41

8 0
3 years ago
The length of the hypotenuse of a 30-60-90 triangle is 9. What is the perimeter?
denis23 [38]
The perimeter of any figure, is all its sides summed up

now, notice the picture below, using the 30-60-90 rule, that's "x"

now, get the other sides, since you know what "x" is, and sum them up, that's the perimeter

5 0
2 years ago
Read 2 more answers
What is the graph of y=-(x-2)^3-5
natulia [17]
When x=0,
y=-(0-2)^3-5
y=3

When y=0,
(x-2)^3=5
x-2= +/- 5^1/3
x= +/- 5^1/3 +2
x= 3.70997 or x=0.29002

To find the turning point at y, substitute the information that you have found above.

y=-(3.70997-2)^3-5
y=-9.99994

Find the mid-point next as mid-point is also the turning point.

(3.70997+0.29002)÷2=1.999995

Hence, Turning point is (1.999995, 9.99994)

Plot a graph using turning point, y value and the 2-x values.
6 0
3 years ago
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