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
fgiga [73]
3 years ago
7

The function f(x)=-10(x)(x-4) represents the approximate height of a projectile launch on the ground into the air as a function

of time in seconds X how long from launch the Landing does a projectile stay in the air
Mathematics
2 answers:
icang [17]3 years ago
7 0

Answer:

4

Step-by-step explanation:

ELEN [110]3 years ago
4 0

Answer:

4 seconds.

Step-by-step explanation:

The function f(x)=-10(x)(x-4) ........ (1), represents the approximate height of a projectile launch on the ground into the air as a function of time in seconds x.

Now, we are asked that for how long from the launch does the projectile stays in the air.

Therefore, we have to solve the equation (1) making f(x) as zero.

Hence, 10x(x - 4) = 0

⇒ x = 0 or x = 4

(As x can not be zero since at x = 0 sec, the projectile was at the ground.}

Hence, x = 4 seconds.

Therefore, the projectile was in the air for 4 seconds. (Answer)

You might be interested in
5. What might be the dimensions of a<br> cylindrical container that holds 750 mL<br> of juice?
solmaris [256]

Answer:

radius of 10.9254843 and height of 10.9254843

Step-by-step explanation:

The equation for the volume of a cylinder is V = 2 pi r h

If V (volume) = 750, find for r and h

(I'm just going to make the radius and height the same thing)

750 = 2 pi r r

375 = pi r^2

119.366207 = r^2

10.9254843 = r

8 0
3 years ago
PLEASE HELP ASAP!!!!!!!!
steposvetlana [31]

Answer:

4.6.

Step-by-step explanation:

The rocket hits the ground when h(t) = 0. So

-16t^{2} + 72t + 7 = 0

Solving 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:

-16t^{2} + 72t + 7 = 0

So

a = -16, b = 72, c = 7

Then

\bigtriangleup = 72^{2} - 4*(-16)*7 = 5632

t_{1} = \frac{-72 + \sqrt{5632}}{2*(-16)} = -0.1

t_{2} = \frac{-72 - \sqrt{5632}}{2*(-16)} = 4.6

Time is a positive measure, so the answer is 4.6.

6 0
3 years ago
A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
kozerog [31]

Answer:

1/6 times the number cube wil land on 2

Step-by-step explanation:

3 0
3 years ago
If the factors of a quadratic function are (x 2) and (x − 9), what are the x-intercepts of the function?
MArishka [77]

The x-intercepts of the given quadratic function are -2 and 9.

What is a quadratic function?

A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.

A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).

Roots of the Quadratic Equation

Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,

(x+2)*(x-9)=0

∴ x+2=0

⇒ x=-2

Similarly,

x-9=0

⇒ x=9

Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.

Learn more about a quadratic function here:

brainly.com/question/27958964

#SPJ4

7 0
2 years ago
Read 2 more answers
A computer salesperson earns a commission of $15 for every $100 in sales. Use this ratio to complete the table of sales-based co
viva [34]
For sales: $15/$100=X/$200, X=$15,30,45,60. For commission: $100/$15=Y/75, Y=$100, $500
8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you solve 4/5(k + 10) = -12 without distributing.
    6·2 answers
  • HELP <br><br>Determine whether the relation is a function<br><br> y=2w=2​
    7·1 answer
  • 2f=gD+1D<br>Solve for D​
    10·1 answer
  • The side length of a square is equal to ? .
    14·2 answers
  • How to right 35/8 as a mixed number
    5·2 answers
  • If the center of a circle is (1, 1), and it has a radius of 5, which is another point on the circle?
    9·1 answer
  • No bots please, the savings is 13,210
    14·1 answer
  • What is the quotient in simplest form?<br> 12/7 divided by 3
    13·1 answer
  • Solve -6.5m+14.3&lt;-22.75
    8·1 answer
  • Which graph could potentially have a correlation coeffiecient (r value) of 0.95?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!