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3 years ago

What is continuous function

Mathematics

1 answer:

sesenic [268]3 years ago

6 0

Answer:

A function is continuous when its graph is a single unbroken curve ... ... that you could draw without lifting your pen from the paper. That is not a formal definition, but it helps you understand the idea.

Step-by-step explanation:

hope this helps ya

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A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the valu

Ganezh [65]

The taxes are figured as follows: 0.089(value of car)

Here the taxes are 0.089(value of car) = $1100.

Divide both sides of this equation by 0.089 to determine the value of the car.

value of car = $12359.55, or approx $12360.

8 0

3 years ago

Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards

lilavasa [31]

Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

Possible length of 3rd side would be between "x - y" and "x + y"

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

6 0

3 years ago

Read 2 more answers

How many number of terms does 5p^2-2p+3r have?

Helga [31]

Answer:

3 terms

Step-by-step explanation:

5 $p^{2}$ - 2p + 3r

It has 3 terms

They are as follows:

5 $p^{2}$

-2p

and 3r

Hope this helps

plz mark as brainliest!!!!!

7 0

3 years ago

A basketball player makes 8 of 22 shots in game 1, 6 of 15 shots in game 2, and 10 of 23 shots in game 3. what percent of the sh

mel-nik [20]

Answer:

40%

Step-by-step explanation:

To find the percentage in each game, you divide the number of successful shots by the number of total shots. For game 1, this looks like: 8/22 = 0.3636, or 36%.

For game 2, this give us 40%, and for game 3, 43%.

Not sure if the question is asking for a game-by-game answer or a grand total, so we'll do both. To find the total percentage over the course of the games, add all the successful shots (8 + 6 + 10 = 24) and all the attempted shots (22 + 15 + 23 = 60), and divide the same way (24 / 60 = 40%).

3 0

3 years ago

1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

${x}^{2} + 5x + 6 = 3x + 6$

Rewrite in standard form:

${x}^{2} + 5x - 3x + 6 - 6 = 0$

${x}^{2} + 2x = 0$

$x(x + 2) = 0$

$x = 0 \: or \: x = - 2$

When we put x=0, in y=3x +6, we get:

$y = 3(0) + 6 = 6$

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

$y = 3( - 2) + 6 = 0$

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

$f( - x) = {x}^{6} - {x}^{4}$

We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

The average rate of change of f(x) from x=a to x=b is given as:

$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

$= \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11$

The average rate of change is 11

3 0

3 years ago