The distance, d, that a certain car is from Math City after h hours, can be determined by the equation d=45h. The distance that a second car is from Math City can be determined by the equation d=25h+80. After how many hours will the two cars be the same distance from the Math City?

Q: 6b. x =8x- 15

A: 6b Given Data: Equation: x2=8x-15 Rewrite the given equation. x2=8x-15x2-8x+15=0

Q: Sarah has an average of 94 on her 5 science quizzes. If her teacher drops her lowest grade of 81,…

A: It is given that ; The average marks of Sarah on 5 sciences quizzes  = 94 And if  teacher drops her…

Q: If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per…

A: given that.

Q: Teresa had some Girl Scout Cookies; she gave 2 of them to her best friend, and now she only has 4…

A:

Q: Which equation has the same solution as x2 + 20x – 17 = 7? -

A:

Q: If 6x + y = 5 is a true equation, what would be the value of -9+ 6x + y?

A:

Q: The value of stock A(x) can be represented as A(x) = 0.65x^2−8x+10 where x represents the number of…

A: We need to calculate how long it will take to both stocks be worth the same amount ⇒We need to find…

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P=14.7e^-0.21x, where…

A: Given formula in pounds per square inch is…

Q: Kato and Marjani are collecting cans of soup for a service project. Kato collected 4 cans of soup.…

A:

Q: At the beginning of spring, Madelyn planted a small sunflower in her backyard. The sunflower's…

A: Given: h=16+4w                       where h is height of plant and w is time in weeks we need to…

Q: How many solutions does the equation a + b + c + d + e + f = 30 have if each variable must be a non-…

A: Image is attached with detailed solution.

Q: What value of x makes the equation -4+12x=8

A: SOLUTION-

Q: Which problem situation can be represented by the equation , 7x + 40 = 60+5x where x represents…

A: Consider the provided equation, 7x+40=60+5x. Find the value of x.

Q: In MMW Hospital the relationship between the number of senior patients infected with the COVID-19…

A: Given that  y = 0.15x – 2.61 wherein x is the number of senior patients infected with the virus and…

Q: For the equation, x - 6x + 6 = 0, determine what type of number the solutions are and how many…

A: Given,          x2-6x+6=0

Q: How much corn seed is required to plant a field limited by the equations x ^ 2 + y ^ 2 = 9; y = x; y…

A: Here we will find out the required amount of corn seed.

Q: A high school sponsored a badminton tournament. After each round, one-half of the players were…

A: If you are eliminated half, then you are removing 50% or .5 of the teams. The number of teams is…

Q: if m=1/3and b=-6, what is the equation?

A: See the attachment

Q: Determine the number and type of solutions for the equation - 3x² + 14z 15 0 =

A:

Q: Which equation is equivalent to y=2/3x−6

A: Given informtion: y=23x-6

Q: A tree farm charges $75.00 for a 5 - foot orange tree and $50.00 for delivery regardless of the…

A: A tree farm charges $75.00 for a 5 foot orange tree and $50.00 for delivery and delivery charge is…

Q: 1. A mobile internet company charges 90 pesos per week plus 2 pesos charge per minute of internet…

A:

Q: Two balls are thrown simultaneously from the same initial height. For the first ball, the height of…

A: The double derivative test is done to locate the maxima and minima for a function.  The following…

Q: For the years 1995to 2002, the number Nof cellular phone subscribers (in millions) can be modeled by…

A: The given equation is N = 17.4 x2+36.1 x+83.8 and x = 0 represented the year 1995.Substitute N =…

Q: Is 8 a solution to the equation 5(x-3)=4(x+1)

A:

Q: A rectangular vegetable garden will have a width that is 3 feet less than the length, and an area of…

A: Given: A rectangular vegetable garden will have a width that is 3 feet less than the length, and an…

Q: (b) In the equation - x - 6 = 0, a = 1 b = |-2 , and c = |-12

A:

Q: The equation 2 + *- 3 can be solved by multiplying both sides by the of the fractions, which is

A: Given, the equation, x4=2+x-33

Q: At the beginning of the year, a blogger has 150 subscribers. Since then, the number of subscribers…

A:

Q: Jackson and Ginger are both learning to ride a bike. Jackson can travel y= 4x miles, and Ginger…

A:

Q: Solve the equation by method of elimination by substitution. 1). 8x - 3y = 8      2x - 7y = 4 2).…

A:

Q: Chinchulinas telecommunications charges $0.12 per minute of phone use plus a monthly service fee of…

A:

Q: how would i make a table of values for this equation? y=x^3+3x^2-6

A: Given : y = x3 + 3x2 - 6 To find : Corresponding values of x and y Solution : As there is no…

Q: What is the solution to the equation x2 + 2x-48 = 0

A: Given Data: Equation: x2+2x-48=0 First, convert the given equation in the factored form and solve…

Q: Explain how you find the solution set to the equation.  4+2x≥14

A: Given, 4+2x ≥ 14   We have to find the solution set of the inequality

Q: from #2 satisfies the equation y = 5x -5

A: Here we have to draw the graph of  2x-y=-1  ..................(1) y=5x-5 .............(2)

Q: The length and width of a rectangular garden are 3x and (x+ 5) meters respectively. If the area of…

A: Given for a rectangular Length = 3x Width = x+5 area = 612 square meters length, width =?

Q: what would be the equation if 2 angles are supplementary and 1 angle is 57 degrees larger than the…

A: A supplementary angle is an angle that equals 180°. So now we know that the two angles added…

Q: what is the solution to the equation x2-3x-28=0?

A: The solution is:

Q: If(-5.2, g(x)) is a solution to the equation 5 – 3x=g(x), what is the value of g(x)?

A:

Q: If the equation y = 50x + 25 represents the amount of (y) money it costs to rent a car for (x) days,…

A:

Q: The equation A = 200(2)". can also be written as:

A: We have to rearrange  the given equation.

Q: Which value of x makes the equation .5(x + 8) = 3 +.25(x - 4) true?

A:

Q: The profit for a computer business is represented by the equation P(x) = -40x^2 + 140,000x. What is…

A:

Q: 8. 6- 2-

A:

Q: Solve the equation for x. 42x-20*4x+64=0

A:

Q: 1) The revenue, R, of producing and selling x Hearing Aids is modeled by the equation R = -4x2+ 118x…

A:

Q: A management consultant estimates that the number h of hours per day that employees will work and…

A:

Q: If the equation to represent the Ferris wheel is f(x) = 12sin(x) + 12, what would be your height in…

A: f(x)=12sinx+12

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.