A basketball player shoots a free throw from the foul line.The equation of the path it will travel is h=-4.9t2 +10t+1.2 which gives the approximate height, h, of the basketball in meters after t seconds. When does the ball reach its maximum height?

Q: Madeline is standing 2x−4 feet from the base of a tree. The height of the tree is 5x+6 feet. Find…

A: Given:The height of the tree is 5x+6 feet and the distance between Madeline and the base of a tree…

Q: 8. A cheerleader jumping off another cheerleader can be modeled using the equation ht)--2.5 - 10,…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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: A stuntman jumped from a helicopter and opened his parachute. His height (in feet) at time t seconds…

A: Given

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

A:

Q: 5.) The equation of motion of object in a straight line is defined by s= - 16t2 + 64t where s is in…

A: Equation of motion, s = -16t2 + 64 t where s is in meter and t in seconds The velocity of object =…

Q: A student estimated based on the video that the ball left my hand 1.58 meters off the ground, and…

A: vertex form  y = f(x-h) + k  vertex (h,k)

Q: An astronaut on the Moon throws a baseball upward with an initial velocity of 12 meters per second,…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: A particle moves along a straight line according to the equation x(t)=t3−6t2+5, where x is in…

A: Given

Q: The equation of motion of object in a straight line is defined by s = - 16t2 + 64t where s is in…

A: To find the velocity function (v) we need the first derivative of s and for acceleration function…

Q: The path of a small rocket is given by the equation h =-16t² + 128t where h is the height in feet…

A:

Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 3040 –…

A: Given: Demand for an electric fan is related to it's selling price p (in dollars) by the equation…

Q: A baseball that is thrown in the air follows a trajectory of                  h(t)=−4t2 +12t+6,…

A: When the ball hits the ground then h(t)=0 So the equation becomes  −4t2 +12t+6=0

Q: What is the equation of the line parallel to the line x-4y 5 and passes through the point (7,2)? %3D…

A:

Q: Solve the equation algebraically. Verify your results using a graphing utility. 1/2 + 2/x = 3/4

A: Given the equation 1/2 + 2/x = 3/4, We need to solve the equation graphically.

Q: An object is moving in horizontal direction according to the equation () =r3– 3r? – 9t + 1· At what…

A:

Q: The annual fixed costs for owning a small sedan are $1289, assuming the car is completely paid…

A: Let Cx be the total cost function and the number x of miles driven annually. The annual fixed cost…

Q: A cannon ball is launched upward with a velocity of 80 feet per second from the top of a 224 foot…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  when the ball hits…

Q: I am having a party. I purchase: x pizzas, y 12-packs of soda, and z cupcakes for a party. If each…

A:

Q: Solve for x in  x^2 + 5x = 0 Draw the line graph that represent the equation

A: Given x2+5x=0

Q: A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112…

A: A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112…

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 golfer's tee shot follows a path given by y = 96t − 16t2, where y is the height of the ball (in…

A:

Q: Juan is rappelling down a 495-foot cliff. He moves down the cliff at a rate of 6 feet per second.…

A: Given:   The height of the cliff: 495 feet. Juan moves down the cliff at a rate of 6 feet per…

Q: Aaron throws a ball off the top of a building. The path of the ball can be modeled by the equationy…

A: The equation of the ball model y = - 4x2 +12x +42

Q: the Eastville High School marching band wants to make a formation shaped like a large E. The sum of…

A: Given:- The Eastville High School marching band wants to make a formation shaped like a large E. The…

Q: The annual fixed costs of owning a small sedan are ​$4445​, assuming the car is completely paid for.…

A: Given: The annual fixed costs of owning a small sedan are ​$4445​, assuming the car is completely…

Q: If the distance a train travels in a straight line is given by s(t) = 10t2 + 5t + 1 , where…

A: Given: s(t)=10t2+5t+1

Q: A tennis ball is hit into the air. The height of the ball, h(t), in feet, at time t, in seconds, is…

A: The given height function is ht=-16t2+64t+4. We have to find the interval of time when the height of…

Q: A projectile is launched upward from a height of 960 feet with an initial velocity of 112 ​ft/s.The…

A: NOTE: Refresh your page if you can't see any equations. . when the projectile reaches the ground,…

Q: Find the solution of the equation which passes through the x-axis.

A: If it passes through the X-axis, then, y=0 & z=0 is satisfied. So, we get, 0 = (p²+q²)/2 +…

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

A:

Q: Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month…

A: Given Data- We have given that Carly has already written 35 pages of a novel. She plans to write 12…

Q: Solve the equation algebraically. Verify your results using a graphing utility. 2x + 9 = 5x

A: The equation: 2x+9=5x

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

A:

Q: The revenue, R, at a bowing alley is given by the equation             R=-1/800(x2-2400x), where x…

A:

Q: A student estimated based on the video that the ball left my hand 1.56 meters off the ground, and…

A:

Q: The cost to rent a paddleboat at Central Park includes an initial fee of $7 plus $3.50 per hour.…

A: Given  the initial fee of renting paddleboat =$7 rate per hour=$3.5

Q: Solve the equation algebraically. Verify your results using a graphing utility. 0.9t = 0.4 + 0.1t

A: Given equation 0.9t=0.4+0.1t

Q: Amazon offers a Prime Memebership for $79 per year , which qualifies a buyer for a reduced shipping…

A:

Q: 5. The height, h(t), in feet, of an object shot from a cannon with initial velocity of 20 feet per…

A:

Q: The height of an object (in feet) propelled upward is given by the equation, h(t) = - 16t +96t + 112…

A:

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: A snowplow has maximum speed of 35 miles per hour on a dry highway. Its maximum speed decreases by…

A: Given, a snowplow has maximum speed of 35 miles per hour on a dry highway. Its maximum speed…

Q: maximum height of the ball and when does it hit the ground

A:

Q: The equation y=17.3x+495 qpproximates median weekly earnings for females. In what year will females…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1400e , Estimate when the…

A: Given: A population of bacteria is growing according to the equation P(t)=1400e0.09t. The value of…

Q: LETTER D SOLVE USING VARIATION OF PARAMETER

A:

Q: Neglecting air resistance, the height “s” (in feet) of an object projected directly upward from an…

A: Given, the height “s” (in feet) of an object projected directly upward from an initial height of s0…

Q: An object is projected upward with a velocity of 50 feet per second from a starting height of 9…

A: The initial velocity of the object is: 50 ft/sec. Initial height of the object is: 9 ft. Height of…

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.