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
Can someone help me find the relative maximum and minimum? please i really need help
bearhunter [10]

9514 1404 393

Answer:

  • relative maximum: -4
  • relative (and absolute) minimum: -5

Step-by-step explanation:

The curve has a relative maximum where values on either side are lower. This looks like a peak in the curve. There is one of those on the y-axis at y = -4.

The relative maximum is -4.

__

A relative minimum is a low point, where the curve is higher on either side. There are two of these, located symmetrically about the y-axis. The minimum appears to be about y = -5. (They might be at x = ± 1, but it is hard to tell.)

The relative minima are -5.

__

A minimum or maximum is absolute if no part of the curve is lower or higher. Here, the minima are absolute, while the maximum is only relative. (The left and right branches of the curve go higher than y=-4.)

_____

Identifying the points on the curve should be the easy part. Deciding what the coordinates are can be harder when the graph is like this one.

4 0
2 years ago
The system has......
Flura [38]

Answer:

No solution

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The ratio of the width to the height of a window is 2:7. The width of the window is 3ft. Write and solve a proportion to find th
poizon [28]
10.5 -- 3/2=1.5 -- 7x1.5=10.5
5 0
3 years ago
Clayton has $500 in his retirement account, and Jason has $400 in his. Clayton is adding $10 per day, whereas Jason is contribut
daser333 [38]

Answer:

$1000

Step-by-step explanation:

We can form an equation for Clayton's account: C = 500 + 10x

We can form an equation for Clayton's account:  J = 400 +12x  

(where x is the number of days)

When the two accounts will contain the same amount, it means: C = J

<=> 500 + 10x  = 400 +12x  

<=> x =50

After 50 days, there accounts will be balance. Then, we substitue x into any of the 2 equation to find out the amount: 500 + 10(50) = $1000

6 0
3 years ago
A circle has a diameter of 10 meters. What is the length of the arc subtended by a central angle of 4 radians.
nika2105 [10]

Answer:

The answer is 20

5 0
3 years ago
Read 2 more answers
Other questions:
  • 8. Write the number in expanded form.<br> 674.281
    13·2 answers
  • Which two grids can be combined to represent 140%?
    14·2 answers
  • How do u write 23f in verbal expression
    11·1 answer
  • 3x - 6 =5(4 - 2x)<br> Please help me. Feel free to explain
    10·1 answer
  • Each model car in a set costs $4. There are 30 different model cars in the set. How much would it cost to buy all the model cars
    14·2 answers
  • Which equation shows the point slope form of the line that passes through (3,2) and has a slope of 1/3
    15·1 answer
  • A particle traveled the distance of 6.6×<img src="https://tex.z-dn.net/?f=10%5E%7B-19%7D" id="TexFormula1" title="10^{-19}" alt=
    15·2 answers
  • 10 points
    5·2 answers
  • Eighth grade) W.16 Create equations with no solutions or infinitely many solutions Learn with an example v Find the missing numb
    13·1 answer
  • Simplify 3 square root 2 - square root 2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!