The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
Describe Function?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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pls answer for points
Answer:
Step-by-step explanation:
5/6 - (2/5 + 1/3)
25/30 - (12/30 + 10/30)
25/30 - 22/30 = 3/30 = 1/10
answer is b
A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge
Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
Choose four values to substitute in for x in the function below and then graph the function. The first row is done for you. ( Just need help with the Table )
Answer:
Answers to complete the table are 0, 3, 6, 9.....and (2,0)(3,3)(4,6)(5,9)
Step-by-step explanation:
-6+3(2)=0
-6+3(3)=3
-6+3(4)=6
-6+3(5)=9
hope this helps
(PLEASE HELP!) The probability of drawing a pink marble from a bag containing these marbles is 3/10.
If you replace the marble each time, predict how many times a pink marble will be chosen out of 100 draws.
Answer:
30
Step-by-step explanation:
The mean is equal to the number of trials times the probability.
x = (3/10) (100)
x = 30
We expect to draw a pink marble 30 times.
Question !
Qa/ 4.2 - 1.5² +0.3 x0.7
Step-by-step explanation:
8x+8−3(x+4)−7(2−x)
8x+8−(3x+12)−7(2−x)
8x+8−(3x+12)−(14−7x)
8x+8−3x−12−14+7x
(8x−3x+7x)+(8−12−14)
12x-18
Round 1,217 to the nearest thousand.
Answer:
1,000
Step-by-step explanation:
if it's past 1500 or in 1500 it would fall to 2000
but like it's less then 1,500 then it falls to 1000
hopefully it's right
What is 125 x 64 in expanded form
what is the factor of 2x2 - 5x - 12???
hurry up guyss pleaseee!
Step 1:
[tex]2 {x}^{2} - 5x - 12[/tex]
Step 2:
[tex]2 {x}^{2} - 8x + 3x - 12[/tex]
Step 3:
[tex]2x(x - 4) + 3(x - 4)[/tex]
Step 4:
[tex]\blue{(x - 4)(2x + 3)}[/tex]
i need help plz help me
Answer:
3000g
hope this helps
What is the location of H' after the image is rotated 180 degrees?
Answer:
The answer is B
Step-by-step explanation:
If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)
Which of these numbers is irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO
Answer:
D) [tex]\sqrt{6}[/tex]
Irrational numbers are numbers that cannot be expressed in the form of p/q where q is not equal to zero.
Here is how to understand if a number irrational or not:
Irrational numbers will have decimal expansions which are non-terminating and non-recurring (no pattern or repetition o certain groups of numbers couldn't be observed and the decimal expansion will not ever end)EXAMPLE: For non-recurring and non- terminating decimal expansions.
2.258755655554517144516517849616128478462131...................76.2879485165886225568656559781230414746108....................4987.251484561515484513184964989494555121266....................In the above examples, it can be observed that all the decimal digits had no pattern and they will never end.In this question, the answer is root 6. but it is not necessary that we have to find the decimal expansion, but we ccanfind it easily just by findinf if the given number is a perfect square or not.
EXAMPLE:
[tex]\sqrt{4}[/tex] is a rational number as 4 is a perfect square.[tex]\sqrt{100}[/tex] is a rational number as 100 is a perfect square.[tex]\sqrt{8}[/tex] is not a rational number as 8 is not a perfect square
Solve for x
I
(2x +1)° (5x +50°
Answer:
5 x + 1
Step-by-step explanation:
5 × + 50°
Any non - zero expression raised to the power of 0 equals 1
5 x + 1
Answer:
x = 12
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
since this is a right triangle
90° + 2x + 1 + 5x + 5 = 180° add like terms
7x + 96 = 180 subtract 96 from both sides
7x = 84 divide both sides by 7
x = 12
-f+2+4f=8-3f what is the answer
Answer:
Answe 6 yeah i know 6
because you due
Answer:
1
Step-by-step explanation:
move like terms to each side
-f+4f+3f=8-2
simplify
6f=6
divide by 6 each side
f=1
In the cafeteria, 104 milk cartons were put out for breakfast. At the end of breakfast, 17 remained. A. What is the ratio of the number of milk cartons taken to the total number of milk cartons? B. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?
Answer:
(A) 87/104
(B) 17/87
Step-by-step explanation:
The first step is to calculate the number of milk carton that was taken
= 104-17
= 87
(A) The ratio of the number of milk carton taken to the total number of milk carton can be calculated as follows
= 87/104
(B) The ratio of the number of milk cartons remaining to the number of milk cartons taken can be calculated as follows
= 17/87
-5 -2q = 9
please help me
Answer:
q = -7
Step-by-step explanation:
-5 - 2q = 9
Add 5 to both sides of the equation.
-2q = 14
Divide both sides by -2.
q = -7
Geo has twice as many video games as Brianna has. Subtracting 7 from the number of video games. Geo has and dividing by 3 equals the number of video games Jamaal has. If Jamaal has 25 , how many video games does Brianna have
Answer:
41 games ( Brianna Has)
Geo has 82 because 25x25 equals 75 and 75+7 equals 82.
Answer:
Brianna Has 41 games
Step-by-step explanation:
Julie bought $8.64 worth of 57-cent stamps and 30-cent stamps. The number of 30-cent stamps was 6 less than the number of 57-cent stamps. Solve the equation 0.57 s + 0.3 ( s − 6 ) = 8.64 for s , to find the number of 57-cent stamps that Julie bought.
Answer:
The number of 57-cent stamps that Julie bought is 12
Step-by-step explanation:
Given equation
0.57 s + 0.3 ( s − 6 ) = 8.64
Open bracket
0.57s + 0.3s - 1.8 = 8.64
Collect like terms
0.87s = 8.64 + 1.8
0.87s = 10.44
Divide both sides by 0.87
s = 12
The number of 57-cent stamps that Julie bought is 12
Someone plz help with e and f I’ll mark as a brainliest
Answer:
e.) 110 = x
f .) 41 = h
Step-by-step explanation:
e
*vertical angles are congruent
78=x-32
+32 +32
110 = x
f
* alternate exterior angles are congruent
126 = 2h + 44
-44 -44
82 = 2h (divide both sides by 2)
41 = h
Rectangle ABCD is similar to Rectangle WXYZ . The area of ABCD is 30 square inches. Explain how to find the area, x , of WXYZ. AD/WZ = 1/2 AB/WX = 1/2 Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (__/__) to the second power. To find the area, solve the proportion 30/x = __/__ to get x = ___.
Answer:
120 square inches
Step-by-step explanation:
From the above question, we are told that:
Rectangle ABCD is similar to Rectangle WXYZ .
The area of ABCD is 30 square inches.
We are also given the ratio of their side length = 1/2
To the find the area of the second rectangle, the scale factor = k² is required where:
k = ratio of the side lengths
Let us represent the area of the.secind Rectangle as = x
Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (1/2 ) to the second power.
Hence
30/x = k²
30/x = (1/2)²
30/x = 1/4
We cross Multiply
= 30 × 4 = x
x = 120 square inches.
Therefore, the area of Rectangle WXYZ is 120 square inches.
2 + 6x equals 1 - x
Answer:
x = -1/7
Step-by-step explanation:
simplify by bringing all the x to the left and all the constants to the right:
6x + x = 1 - 2
7x = -1 (divide by 7)
x = -1/7
x=1/5
Step-by-step explanation:
2+6x= 1-x
=> Transfer the same algebraic terms in one side
2-1 = -x+6x
{things get negavtive sign when they are transfered to another side}
1=5x
x=1/5
Ann Carlyle is planning a business trip for which she needs to rent a car. The car rental company charges $50 per day plus $0.80 per mile over 100 miles. Suppose Ms. Carlyle rents the car for 5 days and drives 200 miles.
Answer:
The answer is 410
Step-by-step explanation:
You have to times 50 by 5 then 0.80 times 200 then add them i hope its right <3
A. 43 x + 98 = 11
B. 43x + 11 = 98
C. 11x+ 98 = 43
D. 11x+ 43 = 98
Please do help!! ;^;
Answer:
10/7 is an improper fraction because the numerator is greater than the denominator.
Step-by-step explanation:
so try 10/7 as a whole number
Find the real solution for:
p^3 = 125
A. p = 3
B. p = -3
C. p = 6
D. p = -6
Or none of the above
Answer:
none of the above
Step-by-step explanation:
p^3 = 125
Rewrite 125 as 5^3
p^3 = 5^3
Take the cube root of each side
(p^3) ^ (1/3) = ( 5^3) ^ (1/3)
p = 3
Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?
A 58 dollars (0.20) + 58 dollars
B 58 dollars (0.20)
C 58 dollars (20) + 58 dollars
D 58 dollars (20)
Answer:
The correct answer is A
Step-by-step explanation:
You multiply the original price = $58 to the tip which will be 20% after you add the tip to the original price.
I hope this helped
Answer:
It is A I have done the assignment got 100 good luck and have a fantastic day :D
Step-by-step explanation:
Can you pls answer the question below
Answer:
The student added instead of subtracting 6 from both sides first before dividing.
Use the table to help determine the answer to the question below. If one cake needs 413 cup(s) of flour, how much flour will 3 cakes need?
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?
Answer:
315
Step-by-step explanation:
5 x 7 = 35
280 + 35 = 315
There sth answer
Answer:7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
hope this help btw i am 12
Step-by-step explanation:
Please select the word from the list that best fits the definition
comes from a specific place
Point-source pollution, I took the test.
Answer:
Point-source pollution
Step-by-step explanation:
Which number line best shows the position of 13?