Aaron throws a ball off the top of a building. The path of the ball can be modeled by the equationy =-4x² + 12x + 42 where y is the height of the ball and I is the time in seconds since the throw. How long will it take for the ball to hit the ground?

Q: nd the equation for the line passing through the point (-1,0) and parallel to the line whose…

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Q: Find the point of the line -2x+5y-2=0 which is closest to the point (-4,0).  The answer is?

A: To find the point of the line -2x+5y-2=0 which is closest to the point -4,0

Q: Write a parallel equation for this half y=1/2x-13

A: Please rate

Q: The path of a foot ball can be modelled by the equation h = -0.0625d(d – 56), where h represents the…

A: Topic = Quadratic equations

Q: The Green Shell's flight path is modeled by the equation: y=-x + 28x+ 500 424 (x-S6)21284

A: Given equation is, y=-14x2+28x+500 a. Graph of the given equation is From this we get the range of…

Q: Sarah dove off a diving platform into a pool. The dive as she returns to the surface can be modeled…

A: The modeled equation is:y=0.75x2-8x+15

Q: A human slingshot was used to launch a stunt  man into the air across two football fields where he…

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Q: Find an equation for the line perpendicular to 4x + 28y = 84 and goes through the point (– 10, 8).…

A: 4x+28y=8428y=84-4xy=-4x28+8428y=-17x+3slope of the above line is -17Then slope of its perpendicular…

Q: Which equation below would be parallel to the liney-2x 8? O A. y= 2x+ 5 O B. y= -2x + 8

A: The equation of line is given as y-2x=8 The equation of line in slope intercept form is given as…

Q: At a golf course, Maria drove her ball 192 yd straight toward the cup. Her brother Gabriel drove his…

A: Given:At a golf course, Maria drove her ball 192 yd straight toward the cup. Her brother Gabriel…

Q: Find an equation for the line perpendicular to 3x+6y=18 and goes through the point (3,−4) Write your…

A:

Q: manufactures satellite systems; their monthly profit P , from producing and selling x systems, is…

A: Given problem:- Manufactures satellite systems; their monthly profit P , from producing andselling x…

Q: The equation y = -3t2 + 50t + 2 represents the height, in meters, of a toy rocket t seconds after…

A: To find the initial height of the rocket

Q: Find the x and y intercepts of the equation: y = – 10x + 11 - The intercepts are: x intercept = ( (o…

A: Given equation, y=-10x+11

Q: A ball is launched of the top of a hill and is represented by the equation h(t) = -5t2+60t+2, where…

A: Solution ) h(t) = -5t2+60t+2 Differentiate with respect to x  h'(t) = -5 × 2 × t + 60 × 1 + 0  […

Q: A prom ticket at Smith High School is $120. Tom is going to save money for the ticket by walking his…

A: Find the equation for minimum number of weeks.

Q: A cab company charges a $10 boarding fee and a meter rate of $2 per mile. The equation is y=2x+10…

A:

Q: The pathway of Sam's dive into the swimming pool can be represented by the equation h = -162 + 15t +…

A: height is represented byh=-16t2+15t+12substitute t=1

Q: For the linear equation  y=7x-6  complete the table  x       Y -1      ? 0       ? 1       ?…

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Q: Find the equation of the straight line through C(2,0) parallel to the line CD whose equation…

A: • Parallel lines have equal slopes. So, we can use this fact to find the equation of required line…

Q: Find an ordered pair (x, y) that is a solution to the equation. 6x+y=9

A: Because the equation is a line any set of numbers on the line will be an ordered pair for the…

Q: The number of miles Enzo walks is represented by the equation y=6x, where x is the number of hours…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Thesystem  of equations is: y=5x+90 y=3x+120 where x represents the number of days and y represents…

A: Consider the system of equations, y=5x+90 y=3x+120

Q: During baseball practice, Carl hit a ball into outfield. The equation h  = − 16 t2 + 64 t + 4 can be…

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Q: The path of water from a hose on a fire tugboat can be approximated by the equation  y = −0.0045x2…

A: Given that the height y=6 feet We have to find the distance from the tugboat (x).

Q: 9. Jamie is making a garden that is twice as long as it is wide. He wants to cover 288 square feet…

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Q: Using a throwing stick, Dominic can throw his dog's ball across the park. Assume that the park is…

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Q: Kelly works at a department store, where her salary is $560 per week, plus a 20% comission on…

A:

Q: Find an equation for the line perpendicular to 4x+20y=40 and goes through the point (7,4). Write…

A: Let's find equation of line.

Q: The path of a foot ball can be modelled by the equation h = -0.0625d(d – 56), where h represents the…

A:

Q: modeled by the equation f(x) = -0.00092 4 0 2088x in the direction of the hole, and landed 1o yards…

A:

Q: in a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This…

A: The given equation represents a straight line.

Q: ODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x +y = 65…

A: a) Given that, the function is -25x+y=65. -25x+y=65y=65+25x Let x=0 then the value of y is…

Q: Find an equation for the line parallel to 2y+10x=6 and goes through the point (-9,7). Write your…

A:

Q: object moves along the x axis according to the equation  x = 2.55t2 − 2.00t + 3.00,  where x is in…

A:

Q: thed into the air. The path of the rocket is modeled by the equation y = -10x + 160x - 100. What is…

A: Introduction - The maximum height will be reached by the rocket only when 'x' is maximum for the…

Q: Lisa is assembling fruit baskets for a large corporate order. She starts with 66 pears and will put…

A: 66 pears in starting  put 5 pears in each basket.  x = no. of fruit baskets assembeled. y = pears…

Q: Which equation is perpendicular to y = -6x +2 %3D

A:

Q: Jack and Walter work in a store's gift-wrapping department Jack can wrap 28 boxes in 2 hours, while…

A: Jack and Walter work in a store's gift-wrapping department Jack can wrap 28 boxes in 2 hours, while…

Q: Q2/ A/ Find the equation of straight line passing through the point (1, 2) and parallel to the line…

A: Topic: equation of line

Q: y=+V36- (x+2)2 *+2)?

A: Just plug in the values of x and we will get values of y.

Q: The path of water from a hose on a fire tugboat can be approximated by the equation y = −0.006x2 +…

A: Known fact: The solution of quadratic equation ax2+bx+c=0 is given by x=-b±b2-4ac2a.   The height of…

Q: The path of water from a hose on a fire tugboat can be approximated by the equation  y = −0.004x2 +…

A: Given data:   The expression for the height of the water above the ocean is y=-0.004x2+1.15x+10. The…

Q: The path of a foot ball can be modelled by the equation h = -0.0625d (d – 56), where h represents…

A:

Q: Kim is saving money to buy a bike. She currently has $50 and will save $12 each week. Equation y=

A: Given that

Q: Find an equation for the line perpendicular to 2x+4y=28 and goes through the point (-2,3). Write…

A: topic- equation of line perpendicular to given line

Q: Which equation would be parallel to the line y- 2x = 8?

A:

Q: The equation y = x2 -12x + 45 models the number of books y sold in a bookstore x days after an…

A: Number of copies sold = at least 100 This means 100 or more.  So,

Q: C . Ross sells 65 shirts at a price of $35 each. They find that if they increase the shirt price by…

A:

Q: A transportation company buys a van. After y months of use, the value y of the van (measured in…

A: Given, y= 25000-400x where, y is the months of the use= 5 years= 5*12= 60 months

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.