1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nastasia [14]
3 years ago
14

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 th

e 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+177x+98
Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

You might be interested in
The profit (in thousands of dollars) of a company is given by P(x) = -8x2 + 32x + 14.
andre [41]

Answer:

C

Step-by-step explanation:

The profit (in thousands of dollars) of a company is given by the function:

\displaystyle P(x) = -8x^2+32x+14

And we want to find the maximum profit of the company.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

Find the <em>x-</em>coordinate of the vertex. In this case, <em>a</em> = -8, <em>b</em> = 32, and <em>c</em> = 14. Hence:

\displaystyle x=-\frac{(32)}{2(-8)}=\frac{32}{16}=2

To find the maximum profit, substitute this value back into the function. Hence:

\displaystyle P(2) = -8(2)^2+32(2) + 14 = 46

Therefore, the maximum profit of the company is 46 thousand dollars.

Our answer is C.

5 0
2 years ago
ILL GIVE BRAINLIEST PLZ
bonufazy [111]
What’s the question LOL
8 0
2 years ago
Read 2 more answers
Q/R=8/d Solve for d <br> please and thank you!
tensa zangetsu [6.8K]

The value of d in equation Q/R=8/d is 8R/Q.

Given an equation Q/R=8/d.

We are required to find the value of d in the given equation.

Equation is basically the relationship between two or more variables that are expressed in equal to form. The values that we enter is known as domain and the values that we get is known as range. It can be linear equation, quadratic equation, cubic equation.

The equation is :Q/R=8/d

We have to take d in right side of equal to sign and Q,R to the left side of right side of equal to sign.

d=8R/Q

Hence the value of d in equation Q/R=8/d is 8R/Q.

Learn more about equation at brainly.com/question/2972832

#SPJ9

3 0
1 year ago
The circumference of a circle is 32 centimeters. Which is closest to the radius? A. 10.2 centimeters B. 5.1 centimeters C. 16 ce
pshichka [43]
The answer is B 5.1 cm
8 0
2 years ago
Read 2 more answers
Helppppp needed plz quick
olga nikolaevna [1]

Answer:

Step-by-step explanation:

9x - 77 = 7x - 43

2x - 77 = -43

2x = 34

x = 17

9(17) - 77 = 153 - 77 = 76

7(17) - 43 = 119 - 43 = 76

z + 76 = 180

z= 104

4 0
3 years ago
Other questions:
  • How do you convert 250% into a fraction
    7·1 answer
  • A rectangular field is eleven times as long as it is wide. If the perimeter of the field is 1560 feet, what are the dimensions o
    6·1 answer
  • Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime numb
    13·1 answer
  • Cullen is 10 years younger than Ada. The product of their ages 2 years ago was 39.
    12·1 answer
  • Please help...I can't really wrap my brain around this...
    5·1 answer
  • 3/5 (10+5x)−1/3(6x+3)=9 ok answer fast
    11·1 answer
  • Tuse
    9·1 answer
  • A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. A sample of 12 hou
    6·1 answer
  • I don't understand how to make the equation on number 6 PLZ help
    10·2 answers
  • I need this ASAP!!!!!!!! if 0
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!