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]
3 years ago
12

This parabola has x-intercepts

Mathematics
2 answers:
slega [8]3 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]3 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
What is the answer for both of these questions? I really need help
joja [24]

Answer:

thats what your brain is for

Step-by-step explanation:

3 0
3 years ago
7,801 + = 4,890 what is the number
zysi [14]
You subtract the numbers 7,801 and 4890

The answer is 2,911
4 0
3 years ago
Ace please help plsss​
Ivanshal [37]

Answer:

B

Step-by-step explanation:

I Think I Got It Right But This Is From A LONG time ago

3 0
2 years ago
Read 2 more answers
0.38x &lt; 25 -10.81 - 10
marusya05 [52]

Answer:

Inequality Form :

x < 11.02631578

Interval Notation :

( − ∞, 11.02631578)

4 0
3 years ago
Read 2 more answers
I really need help with this its past due
zloy xaker [14]
Sorry but grade math is this so I can have a better understanding
7 0
2 years ago
Other questions:
  • |x + 2|&gt; 2<br> How would you graph this solution
    13·1 answer
  • Yo what’s 11/4 subtracting by 6 and 1/2
    9·1 answer
  • The area of a triangle is 16 square units. The base of the triangle is four more than the height of the triangle. What is the ba
    12·1 answer
  • Anybody know the answer to this question ??
    11·1 answer
  • Can you help me please?
    11·1 answer
  • A small airplane can hold 44 passengers. Fifteen passengers board the plane. what is the solution.
    6·1 answer
  • Someone help me please
    10·2 answers
  • 2.8 in fractional notation
    11·1 answer
  • A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games,
    7·1 answer
  • The graph of F(x), shown below, resembles the graph of G(x) x2, but it has
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!