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dem82 [27]
3 years ago
11

On a highway, you take 3 seconds to increase your speed from 32 to 35 miles per hour. Your speed increases the same amount each

second. The speed limit is 65 miles per hour. What is the domain of the function?
Mathematics
1 answer:
balandron [24]3 years ago
3 0

Answer:

1 to 30 seconds

Step-by-step explanation:

3 seconds increases your speed from 32 to 35 miles per hour

Hence 3 seconds = 3 miles per hour(35-32 miles)

1 second = 1 mile

The function for the increase per mile is therefore:

f(x)= 1x

Where x is number of seconds travelled on the highway

The domain of a function are the possible input values for x. Since the speed limit on the highway is 65 miles, the input values for x cannot be more than 30 seconds(current speed is 35 miles per hour, 65-35=30)

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dlinn [17]

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= 20 + 18 - 25

= 13

7 0
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8 0
3 years ago
3x-6y=6 in function notation
JulijaS [17]
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3 0
3 years ago
Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

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

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

3 0
3 years ago
Read 2 more answers
Explain in your own words what domain and range mean
a_sh-v [17]
A domain is an input that you put in an equation(x). A range is an output (y) that is the result of a certain input.

Hope this helps and please mark as brainliest!
3 0
3 years ago
Read 2 more answers
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