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
Alinara [238K]
2 years ago
12

This parabola has x-intercepts

Mathematics
2 answers:
slega [8]2 years ago
8 0

Answer:

see the explanation

Step-by-step explanation:

we have the quadratic equation

y=-16x^{2} +32x-10

This is a vertical parabola open downward

The vertex is a maximum

Find the x-intercepts of the quadratic equation

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

-16x^{2} +32x-10=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16x^{2} +32x-10=0        

so

a=-16\\b=32\\c=-10

substitute in the formula

x=\frac{-32(+/-)\sqrt{32^{2}-4(-16)(-10)}} {2(-16)}

x=\frac{-32(+/-)\sqrt{384}} {-32}

x=\frac{-32(+/-)8\sqrt{6}}{-32}

x=\frac{-32(+)8\sqrt{6}}{-32}=\frac{32(-)8\sqrt{6}}{32}=0.39\ sec

x=\frac{-32(-)8\sqrt{6}}{-32}=\frac{32(+)8\sqrt{6}}{32}=1.61\ sec

therefore

This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet

slavikrds [6]2 years ago
8 0

Answer:

This parabola has <u>2</u> x-intercepts

Representing the times when the dolphin's height above water is <u>0</u> feet

There <u>are two real solutions</u> to this equation,  representing the number of seconds elapsed between the dolphin exiting and reentering the water.

Step-by-step explanation:

That's all the answers for this whole slide :)

You might be interested in
For x= 2, what is the value of the expression in the box? The expression is 3.6 divided by x A. 1.6 B.18 C.0.18 D.1.8
Ostrovityanka [42]

Answer:

please give me brainiest

Step-by-step explanation:

algebraic Expressions Calculator. An online algebra calculator simplifies expression for the input you given in the input box. If you feel difficulty in solving some tough algebraic expression, this page will help you to solve the equation in a second.

6 0
2 years ago
EMERGENCY!! 25 POINTS!!
Rom4ik [11]

Using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).

The given data are English, Maths, Urdu, Science, English, Urdu, Science, Maths, English, Computer, Maths, Urdu, Science, Maths, Computer, and English.

<h3>What is a data table?</h3>

A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.

The data table for the given data is given below:

Thus, using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).

To learn more about the data table visit:

brainly.com/question/17084863.

#SPJ1

5 0
2 years ago
For the function f(t)+Pe^rt, if P = 8 and r = 0.08, then what is the value of f(8) to the nearest tenth?
Bogdan [553]
F(t) = P.e^(r.t) [ and not as you wrote it  f(t)+Pe^rt]
plug in:

f(t) = 8.e^(0.08t) (where e = 2.718 and t=8 given, f(8))
f(8) = 8.(2.718)^(0.08*8) = 21.74^(0.64)

f(8) = 7.17
4 0
3 years ago
Read 2 more answers
The probability of a hurricane being within 100 miles of a location in two days is 40%.
Alex_Xolod [135]
What is the question here
8 0
3 years ago
Find x on this special right triangle
Vinil7 [7]

Answer:

x=9.79

Step-by-step explanation:

firstly find the hypotenuse of the first triangle

sin45=12/h

sin45h/sin45=12/sin 45

h=16.9

after finding the hypotenuse you can then use it to find x by using tan

tan60=16.9/x

tan60x/tan60=16.9/tan60

x=9.79

I hope this helps!!

3 0
3 years ago
Other questions:
  • Raj opens his bank account with $500. He deposits $40 each month. A) write a function that shows the amount in Raj's account aft
    7·1 answer
  • What is the point-slope equation of a line with slope -5 that contains the point (6, 3)?
    8·1 answer
  • How do I work this out?
    15·2 answers
  • Bobbi can mow the park in 3 hours and Deshaun can do the same job in 7 hours. How long will it take them to mow the park
    12·1 answer
  • A bag contains ten marbles of equal size and weight. One marble is blue, one marble is white, three are yellow, and five marbles
    14·1 answer
  • Can someone show me how to graph this?
    10·1 answer
  • Write an equation that gives the distance in miles of the hurricane from the town as a function if the number of hours since 12:
    11·1 answer
  • . Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a hig
    10·1 answer
  • Use the graph of the function to estimate the interval on which the function is increasing
    8·1 answer
  • A sample pf a radioactive isotope had an initial mass of 370 mg in the year 2007 and
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!