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
melamori03 [73]
3 years ago
12

The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i

n feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?
x = 5; the diver jumps in the pool at 5 feet per second
x = 10; the diver jumps in the pool at 10 feet per second
x = 10; the diver hits the water 10 feet horizontally from the board
x = 5; the diver hits the water 5 feet away horizontally from the board
Mathematics
1 answer:
pychu [463]3 years ago
4 0
Set the function to equal zero:

-x^2 - 5x + 50 = 0

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Plug the values into the equation:

a = -1, b = -5, c = 50

x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}

x=\frac{5\pm\sqrt{25+200}}{-2}

x=\frac{5\pm15}{-2}

Solve for both plus and minus:

\frac{5 + 15}{-2} = \frac{20}{-2} = -10

\frac{5 - 15}{-2} = \frac{-10}{-2} = 5

x = -10, x = 5

The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
You might be interested in
Which statement lists contractionary policies? Question 73 options: a) The Fed purchases bonds, lowers the discount rate, and lo
Ne4ueva [31]

Answer:

The correct answer is letter B.

Step-by-step explanation:

Contractionary monetary policies are instruments used by the FED to decrease the amount of money in an economy. There are three classic instruments of monetary policy: open market, rediscount policy and compulsory deposit. The open market is about buying and selling federal government bonds. Thus, by selling bonds, the bank will be increasing the supply of bonds in the economy, on the other hand, is withdrawing dollars, that is, will be withdrawing currency from the economy, resulting in a contractionary monetary policy. Rediscount refers to the interest rate on loans that the FED lends to financial institutions. In situations of illiquidity, banks turn to the FED for loans. In this case, the FED, by increasing the rediscount rate, hindering the supply of money to the institutions and thus exerting a contractionary monetary policy. Finally, bank reserves refer to the part of banks' monetary reserves that are required to be deposited with the FED. Thus, by increasing the percentage of such reserves, the FED is exerting a contractionary fiscal policy, as it decreases the total amount of commercial banks' borrowing resources.

7 0
3 years ago
On circle O below, SE is a diameter. What is the measure of ISE?
Jobisdone [24]

Answer:

34° assuming angle (SIL) and (EID) are equal

Step-by-step explanation:

hmu if you want an explanation

6 0
3 years ago
Helppp thank you!!!!!
7nadin3 [17]

Answer:

D

Step-by-step explanation:

<em>x</em> is greater than 12:

x>12 \text{ or } 12

and <em>x</em> is less than or equal to 3 times the value of y:

12

We can divide everything by 3:

4

7 0
3 years ago
Solve for x.<br><br> 4x + 3 = 35
anzhelika [568]

Answer:

x = 8

Step-by-step explanation:

4x + 3 = 35

subtract 3 from both sides

4x + 3 - 3 = 35 - 4

4x = 32

divide both sides by 4

4x / 4 = x

32/4 = 8

we're left with x = 8

6 0
2 years ago
Read 2 more answers
Express the radical using the imaginary unit, iii.<br> Express your answer in simplified form.
Reika [66]

iii\implies i^3\implies i^2\cdot i\implies (-1)\cdot \sqrt{-1}\implies -\sqrt{-1}\implies -i

4 0
1 year ago
Other questions:
  • Drag each number to the correct location in the ordered pairs. Each number can be used more than once, but not all numbers will
    10·1 answer
  • What is 6 13/20 as a decimal
    7·1 answer
  • Need help with questions 5 and 6
    10·1 answer
  • The table shows the temperatures in degrees Celsius, y, inside a shed at x hours past noon. The maximum and minimum temperatures
    14·1 answer
  • Are two squares with the same side lengths scaled copies of one another?
    8·2 answers
  • A sequence of numbers is given by the formula an= 2(-1.2)^n, where n is a positive integer. What is the probability that a rando
    8·1 answer
  • PLZ PLZ PLZ HELP MEEEE
    6·2 answers
  • Please SHOW YOUR WORK!<br><br> Thanks In Advance, Will Mark Brainliest!
    8·1 answer
  • The probability of a chance event is 0.5, it is __________ to happen when compared to a chance event with a probability of 1.
    14·2 answers
  • The length of a rectangle is four times the width minus three. If the perimeter of the rectangle is 64 meters, what is the lengt
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!