Math
You throw a baseball upward with an initial velocity of 56 feet per second. The height h (in feet) of the baseball relative to your glove is modeled by the position function h(t)= -16t2+56t where t is the time in seconds. How long does it take for the ball to reach your glove? (Round your answer to one decimal place.)
Math
You are working with the following quadratic function: y = x² - 2x - 8 a) Write the quadratic in factored form: y= b) Complete the square to write the quadratic in vertex form: y = Identify the vertex of the parabola: Remember that the vertex is a point! Identify the y-intercept of the parabola: Remember that the y-intercept is a point! Identify the x-intercepts: and Remember that the x-intercepts represent points on the graph!
Math
This question is not about solving the stated problem, but about understanding it. A rocket is launched, and its height above sea level t seconds after launch is given by the equation h(t) = 4.9t² + 1300t + 170. a) From what height was the rocket launched? b) What is the maximum height the rocket reaches? c) If the rocket will splash down in the ocean, when will it splash down?
Math
Use the discriminant to determine whether the quadratic equation has zero, one, or two distinct real solutions. x² + 6x + 1 = 0 The quadratic equation has choose one real solution(s).
Math
Is it more convenient to complete the square for x^2 + bx when bis odd or when b is even? Explain.
Math
Solve the following quadratic expressions by factoring. First write the expressions in completely factored form. Then write the real number solutions. [Hint: Remember to use proper notation when writing the real number solutions. For example: if the solutions are a = 1 and x = 4, write x 1,4
Math
A jazz group on tour has been drawing average crowds of 1000 people. It is projected that for every \$1 increase in the \$17 ticket price, the average attendance will decrease by 60. What equation could be used to solve this problem and at what ticket price will nightly receipts be \$16,400? A) (17+x)(1000-60x)=16400; \$20 B) (17x)(1000x-60)=16400; \$20 C) (17+x)(1000-60x)=16400; \$19 D) (17-x)(1000+60x)=16400;
Math
Factorize (144z2y² - 225a²b²). (12zy - 15ab)² (12zy-15ab)(12zy + 15ab) (12zy + 15ab)²
Math
3. Find the zeros of the quadratic function by graphing. Round to the nearest tenth if necessary. f(x) = -2x² + 3x + 1 0.8,2.1) is a zero of the quadratic function because it is the peak of the parabola. (-0.3,0) and (1.8,0) are zeros of the quadratic function because it is where the parabola crosses the x-axis. (0.8,2.1) and (0,1) are zeros of the quadratic function because it is where the parabola crosses the x-axis... (0.1) is a zero of the quadratic because it is where the parabola crosses the y-axis.
Math
Which of the following reveals the minimum value for the equation 3x2 + 18x+15=0? 3(x+3)² = 6 3(x+9)² = 12 3(x+3)² = 12 3(x+9)² = 228
Math
Consider the parabola given by the equation: y = 1x² + 14x - 33 Find the following for this parabola: A) The vertex = ( B) The y intercept is the point (0, C) Find the two values of a that correspond to the intercepts of the parabola and write them as a list, separated by commas:
Math