1. If y varies with x and y is 20 when x is 4, what is the constant variation? 2. if y varies directly with x and y is 7 when x is 35, write a function that represents this relationship.  3. if y varies directly with x and y is 25 when x is 15, what is x when y is 30?   4. if p varies directly q and p=26 when q=2, find p when q=5

Q: Teach how to come up with a function that gives the amount of samarium-153 that remains h hours…

A: Let P be the initial amount and let A be the amount remains after h hours

Q: Steven does yard work for his neighbors. He earns $10 for every lawn that he mows plus $3.50 for…

A: Please see the below picture for detailed solution.

Q: The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any…

A: The area(A) of a rectangle is calculated using the formula: A=l×w, where l is the length, w is the…

Q: 4. {(2,2), (4,4), (3,2), (5,7), (1,4)} 5. {(1,2), (3,4), (5,6), (7,8), (9,10)}

A:

Q: For each of the following relationships, s whether they represent a function or no 1. Domain: Range:…

A: Definition of Domain and Range Domain- Domain is all the values that go into a function, and the…

Q: A One-to-One function passes both the vertical and horizontal line tests. True O False

A: all the function passes vertical line test and one to one function meed to pass horizontal test…

Q: Tell which of the following functions has been vertically translated 8 up. y = 5 * e*-8 – 2 y = -5 *…

A: Given four function.

Q: Given the function, F = {(0,-2), (2,0), (3,1), (5, 3)}, answer the following.  1. Find the domain…

A: Given the function : F=0,-2,(2,0),(3,1),(5,3) ⇒Domain={0,2,3,5}and Range=-2,0,1,3

Q: m, y = 3x.

A:

Q: On the first swing, a pendulum swings through an arc of length 36cm. On each successive swing, the…

A:

Q: What is a function, in your own words? Give an example to back up your points.

A:

Q: Electric Charges For the nonextreme weathermonths, Palmetto Electric charges $7.10 plus 6.747cents…

A: Consider that for electricity consumption upto 1200 kWh the charges are $7.10+$0.06747 per kWh and…

Q: A water line is to be laid from a well to an island 5 km cast of a straight north/south shore line…

A: Given: The figure of water line is  the horizontal distance between well and island is 5km and the…

Q: This two relation is a function or not? and why? 1. 4x-y=10  2. |y-1|=5

A: We know that, A special kind of relation which follows a rule, which is for every x-value should be…

Q: List the domain and range of the following function. 10 Ty (0,1) :10- 10 -10

A:

Q: 7. Identify whether the following ordered pairs is a function: (2, 2), (3, 2), (5, 4).

A: A relation is said to be function if every elements is related to only one element. So there is…

Q: 1. Make your own function notation (1 for numbers 1-5 and 1 for numbers 6-10). 2. Assign 5 values of…

A: To make function notation.

Q: Describe in your own words how the constants a, k, b, c affect the two functions.…

A: Here in the given expression, a is the amplitude  The period is 2πk The phase shift is  equal to kb…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.