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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need help with number 2 please.
Answer:
a. intersecting
b. parallel
c. skew
d. intersecting
e. parallel
If you roll a standard number
cube 30 times, how many times
can you expect to roll a number
greater than 4
The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint: combine the 2 angles and set equal to 90
Angle A = 3x - 10
Angle B = x
Their angle sum = 90° ( complementary angles form 90° )
This can be written in an equation as =
= 3x - 10 + x = 90
= 3x + × + ( -10 ) = 90
= 4x + (-10) = 90
= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )
= 4x = 100
= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )
= x = 25
Angle A = 3x - 10
= 3 × 25 - 10
= 75 - 10
= Angle A = 65°
Angle B = x = 25°
Their sum = 65 + 25 = 90°
Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .
which of the following is equivalent to (4x^2)^3
Answer:
x=3
x=−3
Step-by-step explanation:
(GIVING BRAINLIEST TO FIRST CORRECT ANSWER)
What is the equation, in slope intercept form, for the given graph?
Answer:
y=1/2x-1
Step-by-step explanation:
0,-1
2,0
0--1 si 1
2-0 is 2
1/2
Please help im a bit confused
Answer:
200,000
80,000
9,000,000
10,000,000,000
What is the context of this question?
Step-by-step explanation:
Answer:
So standard form just means 200,000 written as like 200^ something(I think)
Step-by-step explanation:
Which statement about the lines below is true? 4y=-16 and 3x=27
Answer:
4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer
Step-by-step explanation:
A boy's mark for a test is 18 out of a total of 30 marks. If the
test had been marked out of 40 what would the boy's mark have
been?
Please help me, with explanation. Thank you<3
Answer:
It would be 18/40 and his grade would be a 45%
Answer:
24
Step-by-step explanation:
18/30×40=24
For the following right triangle, find the side length x.
Answer: 37
Step-by-step explanation:
Use A squared plus b squared equals c squared.
1. 35 squared is 1,225.
2. 12 squared is 144.
3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?
Well the square root of 1,369, that's 37.
6-(666+987889879878)
Answer:
−987889880538
Step-by-step explanation:
Answer:
-987889880538
Step-by-step explanation:
ez
How many solutions does the equation x^2 = 9 have? How do you know?
Answer:
I'm pretty sure it's 2
Step-by-step explanation:
x^2=9
Step 1: Take the square root.
x=±√9
x=3 or x=−3
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?
also need help with this question
Answer:
Using PEDMAS, you would have to do the parentheses part first(you would multiply 5 by 4 and 5 by -1.5x.
Step-by-step explanation:
HELP PLEASE!!!
1. what's x if
18=6x
2. How do I change my username here on brainly?
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Simply divide both sides of the equation by 6 and it'll be the answer.
The area of a recalangle that is 8 feet long and 4 feet wide is
a 12 sq ft
b22 sq ft
c 32 sq ft
d 36 sq ft
Answer:
C is the answer! You're welcome
Answer:
C is your answer
Step-by-step explanation:
8 x 4 = 32 sq ft
Hope this helps! :)
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
Which expression is equivalent to-80? O-45 O-4/5 O 45 O 45
-4v5i
Step-by-step explanation:
x^3 + 3x^2 + 16x + 48
Answer:
(x2 +16)⋅(x+3)
Step-by-step explanation:
Suppose that in 8 minutes, 32 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
4
Step-by-step explanation:
Answer:
8/32 =4 so 4 per min
Step-by-step explanation:
Which one?
A. B. C. or D?
The answer is to the question is c.11
Which equations are equal to A= 1/2bh?
Options: A. b= 2A/h
B. b= A/2h
C. h= (1/2) A/b
D. h= 2A/b
The price of dinner was $24.80. The sales tax was 8%. The server was given a 15% tip (calculated after tax was added). What was the total cost of the meal?
A
$5.70
B
$25.03
C
$30.50
D
$30.80
Answer:
D. $30.80
Step-by-step explanation:
8/100=0.08
0.08*24.80=1.984
1.984+24.80=26.78
15/100=0.15
0.15*26.78=4.017
4.017+26.78=30.80
Which expressions are equivalent to 5 the power of 18
Answer:
3.8146973e+12
Step-by-step explanation:
you have to do 5x5 18 times to get this answer.
Answer:
The two on the top
Is 5x+13 a equation or expression?
A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.
Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)
so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..
Step-by-step explanation:
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
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.
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
∠ Q = 75°
Step-by-step explanation:
Since PR and PQ are equal then the triangle is isosceles, thus
the base angles R andQ are congruent
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 15 + 2x + 15 = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Thus
∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°
Container I currently contain 4.6 gallons of water and is being filled at a rate of 1.2 gallons per minute. Container II currently has 54.6 gallons of water and is being drained at a rate of 0.8 gallons per minute. After how many minutes will both containers have the same amount of water?
Answer: After 25 minutes both containers will have the same amount of water.
Step-by-step explanation:
Let x = Number of minutes
y= Quantity of water
For container I, Quantity of water will be :
y = 4.6+ 1.2x
For container II, Quantity of water will be :
y = 54.6-0.8x
According to the question, we have
4.6+ 1.2x = 54.6-0.8x
Add 0.8x on both sides and subtract 4.6 on both sides , we get
1.2x+8x = 54.6-4.6
⇒ 2x = 50
Divide both sides by 2, we get
x= 25
So after 25 minutes both containers will have the same amount of water.
Step-by-step explanation:
Simplify: 3x-4(2x-6) + 9