A bullet is fired upward from ground level. Its height above the ground​ (in feet) at time t seconds is given by the following equation.   ​H(t)=-16t^2 + 992t   ​(a) Find the vertex. ​(b) Find the time at which the bullet reaches its maximum height. ​(c) Find the maximum height. ​(d) Find the time at which the bullet hits the ground​ (when the height is equal to​ zero). ​(a) What equation can be used to calculate the​ t-coordinate of the​ vertex?     A. tequals=negative StartFraction 992 Over 2 left parenthesis negative 16 right parenthesis EndFraction−9922(−16)   B. tequals=StartFraction 2 left parenthesis negative 16 right parenthesis Over 992 EndFraction2(−16)992   C. tequals=StartFraction 992 Over 2 left parenthesis negative 16 right parenthesis EndFraction9922(−16)   D. tequals=negative StartFraction 2 left parenthesis negative 16 right parenthesis Over 992 EndFraction−2(−16)992 The vertex is at nothing. ​(Type an ordered pair. Do not use commas in the individual​ coordinates.) ​(b) The bullet reaches at maximum at nothing seconds. ​(Type a whole​ number.) ​(c) The maximum height of the bullet is nothing feet. ​(Type a whole​ number.) ​(d) The bullet hits the ground at nothing seconds. ​(Type an integer or a​ decimal.)

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: (a) On the grid below, sketch a cubic polynomial whose zeros are 4, - 2, - 2 and passes through the…

A: The given question is solved below.

Q: h(x)=−5x^2+10x+20 It takes approximately____ seconds for the rocket to hit the ground. (Round to the…

A:

Q: Find all zeros of the polynomial function f(x) = -(x - 2)2(x + 1)2.Then graph the function.

A:

Q: seconds after being launched into the air: h(t) = -4t² + 24t + 62 Use the completing the square…

A:

Q: Analyze the polynomial function f(x)=x^3+2.56x^2−3.31x+0.89   a) Find the domain and the range of…

A:

Q: Rewrite the quadratic function in vertex form and give the vertex.   f(x)=3x^2−9x   I wrote for…

A: We have to rewrite the given quadratic equation in the vertex form…

Q: Express the function f (a) = 2x2 + 12x + 16 in standard form. Find the vertex and all intercepts.…

A: f(x)=2x2+12x+16=2(x2+6x+8)=2(x+2)(x+4)To find the vertex and intercept

Q: The height y (in feet) of a ball thrown by a child is 1 x² + 6x +3 Y 12 where is the horizontal…

A:

Q: A punter in football kicks a football high in the air. The height of the football can be given by…

A: A. Consider the given function, hx=-0.009x2+1.61x+2 Substitute x=0 to get the initial height of the…

Q: Find all zeros of the polynomial function f(x) = -(x + 1)6.Then graph the function.

A: Given: fx=-x+16 for finding all zeros of given function, we equate given function with zero so,…

Q: g(x)= -2x^2+20x-47 write the equation in the form g(x)=a(x-h)^2+k.

A:

Q: What is a polynomial equation? When is it in standard form?

A: Solution: Polynomial Equation: The equation that involves variable (single independent), exponents,…