The path of a dolphin jumping out of the water can be modeled by the function h(t)=−2t2+6t−4, where h is the height of the dolphin relative to the water level in meters at time t seconds. The graph of h(t) is given below. A function is graphed on a four quadrant coordinate plane. The horizontal t-axis and the vertical h of t-axis go from negative 1.5 to 4.5 in increments of 1. A U-shaped curve that opens downward has a vertex at approximately (1.5, 0.5) and passes through the points (1, 0) and (2, 0).

Which of the following statements is correct about the graph of h(t)?

The two zeros of h(t) are at (−1, 0) and (−2, 0).

The y-intercept of h(t) is at (−4, 0).

The axis of symmetry of h(t) is t=−32.

The vertex of h(t) is at (32, 12).

based on context clues you gave i'm assuming the answer would be c.

the answer is c. 23/3

answer: check all that apply, where the options?

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).