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The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.

More formally, a function f from a set X to a set Y is denoted as f: X → Y

For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.

Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.

Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.

The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:

C(x) = 2(x - L) + 40

where:

C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).

L is the speed limit (in mph).

(x - L) represents the number of miles per hour over the speed limit that the car was traveling.

The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.

To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:

C(50) = 2(50 - 35) + 40

C(50) = 2(15) + 40

C(50) = 30 + 40

C(50) = $70

Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

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Answer:

1537pounds

Step-by-step explanation:

Given parameters:

  Weight of baby at birth  = 7.25 pounds

Unknown:

Weight at the end of 8months = ?

Solution:

 From the second sentence;

    Weight at the end of the eighth month = 212 x weight at birth.

Input the parameters and solve;

  Weight at the end of eighth month = 212 x  7.25  = 1537pounds

Answer:

13.jawaban nya

c.

14.jawaban nya

A.

15.jawaban nya

c.

Answer:

s= px

Step-by-step explanation:

Answer:

Step-by-step explanation:

8.5*6.2=52.7

The required time taken by Denise to complete the race is 52.7 minutes.

Given that,
Denise runs a 10-kilometer race (6.2 miles). Her average time per mile is 8.5 minutes per mile.

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Denise runs a 10-kilometer race (6.2 miles).
Denise run 1 mile in 8.5 minutes
Time is taken by denis to run 6.2 miles =  6.2 * 8.5
                                                                  = 52.7 minutes

Thus, the required time taken by Denise to complete the race is 52.7 minutes.

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Answer:

2.67 days each

Step-by-step explanation:

Answer: 2.67

Step-by-step explanation:

Answer:

I III and IV

Step-by-step explanation:

According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Given :

Triangle OCD ≅ Triangle JAL

The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.

So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Therefore, the correct option is D).

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Answer: The cost will be same for 6 hours.

Step-by-step explanation:

Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.

Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.

Let x = Number of hours

y = Total cost

Then, Total cost (in $) for first company (y) = 22+3x

Total cost (in $) for second company (y) = 17.50+3.75x

So required system of equations :

y =  22+3x

y= 17.50+3.75x

When the cost will be the same,

22+3x = 17.50+3.75x

⇒ 3x - 3.75x = 17.50- 22

⇒ - 0.75x = -4.5

⇒ x =6  [Divide both sides by -0.75]

Hence,  the cost will be same for 6 hours.

Answer:

what should we have to do here

I don't understand

Answer:

Nickels: 67

quarters: 19

Step-by-step explanation:

It's fairly simple if you know how to use algebra

9514 1404 393

Answer:

  M = 141°, N = 39°

Step-by-step explanation:

Supplementary angles have a total measure of 180°, so ...

  M + N = 180

  (6x +3) +(2x -7) = 180

  8x = 184 . . . . . add 4, simplify

  x = 23 . . . . . . . divide by 8

∠M = 6·23 +3 = 141°

∠N = 2·23 -7 = 39°

Answer:

We Subtract

Her weight on her third birthday = 36.94 pounds

Step-by-step explanation:

Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION

Leslie GAINED 5.54 pounds between her third and fourth birthdays.

This means she added weight

She weighed 42.48 pounds on her Fourth birthday

Hence, Her weight in her third birthday is:

Third birthday + 5.54 pounds = 42.48

$42.48

Third birthday = 42.48 - 5.54

= 36.94 pounds

Her weight on her third birthday = 36.94 pounds.

Answer: $88.

Step-by-step explanation:

given data:

The cost of the dress for the prom = $22

label of the rack the dresss was on = 50%.

lowest marked price for the dress = 75%.

Solution:

if the lowest marked price of the cloth was already 75%.

and the current cost of the clothe is $22

the original cost of the cloth would be

100% – 75% = 0.25%

= $22 * 100 / 0.25%

= $88.

The original cost of the dress was $88

Answer:

$88

Step-by-step explanation:

Answer:

[tex]\displaystyle x/y=\frac{15}{4}[/tex]

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]

We will evaluate x/y when x=9/4 and y=3/5:

[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]

[tex]\displaystyle=\frac{45}{12}[/tex]

Simplifying:

[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]

Answer:

3+15+3-42

=18+3-42

=21-42

=-21

Answer:

-2

Step-by-step explanation:

f(2): take the (2) from the f(2) because that's the x value.

you go to where it's 2 on the x-axis.

f(x)=f(2)

f(x)=y

so you are trying to find the y-axis number when you are at 2 on the x-axis.

whichhh is -2

Answer:

8.8 x 10 to the power of 6

Step-by-step explanation:

28 mando the peace of work in 41 days

by divida 52 and 35 and multiiply with28

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (4, 1 )

with k = 1

Answer:

Step-by-step explanation: 40 newtons to the right

Answer:

false

Step-by-step explanation:

Answer:

I think C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Answer:

the denominator in 6/9.75 is incorrect

Step-by-step explanation:

find unit rate then x 24 numerator. 24 the denominator,

the denominator in 6/9.75 is incorrect.

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Given

[tex](2^{6}) ^{x}[/tex]

= [tex]2^{6x}[/tex]

The only way for this to equal 1 is for x to be zero

Thus x = 0