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
skelet666 [1.2K]
3 years ago
15

A diver is standing on a platform 7 ft above the pool.

Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

  13 ft

Step-by-step explanation:

We assume your height formula is intended to be ...

  h(t) = -16t² +20t +7

This will have its maximum value at ...

  t = -b/(2a) = -20/(2(-16)) = 5/8

The height at that time is ...

  h(5/8) = (-16(5/8) +20)(5/8) +7 = 10(5/8) +7 = 106/8 = 53/4 = 13 1/4 . . . ft

To the nearest whole foot, the diver will reach a height of 13 ft above the pool.

_____

<em>Additional comments</em>

The standard form quadratic can be described as ...

  f(x) = ax² +bx +c

The extreme value occurs at ...

  x = -b/(2a)

This can also be written as ...

  f(x) = (ax +b)x +c

which can make it easier to evaluate for some numerical value of x.

You might be interested in
X=1,<br> X^2=X,<br> X^2-1=X-1,<br> (X+1)(X-1)=X-1,<br> X+1=1,<br> X=0<br><br> Where is the mastic?
Alchen [17]

Answer:

You are technically dividing by zero, it breaks math.

In the step (X+1)(X-1)=X-1 → X+1=1.

You divide (X+1)(X-1)=X-1 by (x-1) on both sides to get:

(x+1)(x-1) / (x-1) = (x-1) / (x-1).

Since x = 1,

(x + 1)(x - 1) / (x - 1) = (x - 1) / (x - 1)

becomes (2)(0) / <u>0</u> = 0 / <u>0</u>.

And when you divide by zero, it's undefined since you cannot multiply a number by zero and get a number other than zero, it's undefinable.

This is where limits come in, when you divide by a variable, you have to assumed that is it ≠ 0.

You know that 1 ≠ 2, and 0 ≠ 1, and so on.

As dividing by zero approaches infinity,

1/0.1 = 10, 1/0.01 = 100, 1/0.001 = 1000, 1/0.00..1 = 1000.. → 1/0 → infinity.

1/-0.1 = -10, 1/-0.01 = -100, 1/-0.001 = -1000,

1/-0.00..1 = -1000.. → 1/0 → -infinity.

This suggests that dividing by zero should be infinity.

Therefore infinity = -infinity, Wrong.

When you are dividing, you are really asking yourself, how many times does this number fit into the other number.

1 cannot fit into 0, there isn't anything to fit into. This can also be thought of as:

1 = 0 + 0 + 0 + 0 + 0 + ......

0 + 0 = 0, so 1 ≠ 0.

5 0
3 years ago
Evaluate the expression <br> a-b/c*d <br> when a=48, b=18, c=3, and d=2
barxatty [35]

\huge{\boxed{36}}

Substitute the values. 48 - 18 \div 3 * 2

Follow PEMDAS and multiply and divide first. 48 - 6 * 2

48 - 12

Continue following PEMDAS and subtract. \boxed{36}

4 0
4 years ago
Please i need your help !
Butoxors [25]
The answer is D the last one
3 0
3 years ago
Read 2 more answers
Thelearningodyssey.com/gatekeeper.aspx?INTERNAL=SESSION
Alika [10]

Answer:

Ok

Explanation:

8 0
3 years ago
15. PLEASE HELP ME
Nana76 [90]
  • Surface Area=7238in^2

We know

\boxed{\sf Surface\:area=4\pi r^2}

\\ \sf\longmapsto 4\pi r^2=7238

\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238

\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}

\\ \sf\longmapsto r^2=\dfrac{5066}{88}

\\ \sf\longmapsto r^2=575.75

\\ \sf\longmapsto r^2\approx576

\\ \sf\longmapsto r\approx\sqrt{576}

\\ \sf\longmapsto r\approx24in

<h3>Option b is coreect</h3>
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which product is negative? (Negative StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (one-four
    5·2 answers
  • Compute $(1 + i)(2 + i)(3 + i).$
    9·1 answer
  • Sienna is exactly 5 feet 2inches tall.Which equation can be used be used to find h,the height of sienna in inches?A.(5×12)+2=h .
    13·1 answer
  • Is the histogram uniform, symmetric, or skewed?
    14·1 answer
  • 8500 dollars is placed in an account with an annual interest rate of 7%. To the nearest year, how long will it take for the acco
    10·1 answer
  • 6. Gloves R’ Us was having a great day at their warehouse. Before lunch the store had sold a total of 82 pairs of gloves, and sa
    8·1 answer
  • Julie is buying chocolate chip and oatmeal cookies
    15·1 answer
  • Which expression is equivalent to the given polynomial expression?
    9·1 answer
  • The axis of symmetry of a quadratic equation is x = –3. If one of the zeroes of the equation is 4, what is the other zero?
    5·1 answer
  • A 500-room hotel collects $80 per occupied room each night. which expression represents the number of dollars the hotel collects
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!