A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.

Equation:

y=-16x^2+153x+98

Answer:

10.2 seconds

Step-by-step explanation:

Given equation :

$y=-16x^2+153x+98$ shown the expression of a quadratic equation

Let y =0

∴

0 = $-16x^2+153x+98$

where;

$a=-16\\b=153\\c=98$

Using the quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

replacing it with our values; we have:

$x=\frac{-153\±\sqrt{153^2-4(-16)(98)}}{2(-16)}$

$x=\frac{-153\ + \sqrt{153^2-4(-16)(98)}}{2(-16)}$ OR $x=\frac{-153\ - \sqrt{153^2-4(-16)(98)}}{2(-16)}$

$x_1=10.17$ OR $x_2=-0.60$

Hence, we go by the positive value since, is the time that the rocket will hit the ground.

x= 10.17

x = ≅ 10.2 seconds

Therefore, the rocket will hit the ground, to the nearest 100th of second. = 10.2 seconds

6 0

4 years ago

Find the range of the function defined by each equation: y =- x

blagie [28]

Range is all the values of y, in this case, y can be any number, so the range is all real numbers.

4 0

3 years ago

What type of polynomial is 2a-4b+7c

Andrei [34K]

Answer: trinomial

Step-by-step explanation:

Monomials have one variable (2a)

Binomials have two variables (2a - 4b)

Trinomials have three variables (2a - 4b + 7c)

Polynomials are any equations that have 4 or more variables.

7 0

2 years ago