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
-BARSIC- [3]
2 years ago
13

A rocket is shot straight into the air at an initial velocity of 70 feet/second. The height of the rocket after t seconds is rep

resented by the formula h=70t−5t^2. What is the maximum height the rocket reaches?
Mathematics
1 answer:
Monica [59]2 years ago
6 0

By making use of properties of <em>quadratic</em> equations, we conclude that the <em>maximum</em> height of the rocket is 245 feet.

<h3>What is the maximum height of the rocket?</h3>

In this problem we must obtain the <em>maximum</em> height reached by the rocket and based on the <em>quadratic</em> equation described in the statement. There is an algebraic approach to get such information quickly. First, we modify the polynomial into an <em>implicit</em> form:

- 5 · t² + 70 · t - h = 0

Graphically speaking, <em>quadratic</em> equations are parabolae and, in particular, the <em>maximum</em> height of the rocket is part of the vertex of the parabola. Then, the discriminant of the quadratic equation is:

70² - 4 · (- 5) · (- h) = 0

4900 - 20 · h = 0

h = 245

By making use of properties of <em>quadratic</em> equations, we conclude that the <em>maximum</em> height of the rocket is 245 feet.

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

You might be interested in
Need hep with this question​
choli [55]

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

  • m=(20000-16000)/(0-2)= -2000
  • so our function is V= -2000t + b
  • b is the intitial price so b = 20000
  • then : V= -2000t + 20000

Let's check :

  • take the second year : V= -2000*2 +20000 = 16000
  • that's true !
6 0
3 years ago
They Yankees won 90 of their 162 games last season. What percent of the games did they win?​
LUCKY_DIMON [66]

Answer:

55.6%

Step-by-step explanation:

The fraction 90/162 in its decimal equivalent is 0. 556.  Multiplying this by 100 yields the percentage 55.6%.

5 0
3 years ago
Read 2 more answers
A garden table and a bench cost $781 combined. The garden table costs $69 less than the bench. What is the cost of the bench?
Arlecino [84]

Answer:

$425

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x - 69)=781

x + x - 69 =781

2x - 69 = 781

2x -69 +69 = 781 + 69

2x = 850

2x/2 = 850/2

x = 425

Bench = 425

6 0
3 years ago
Read 2 more answers
How do I do this help please
elena55 [62]

Answer:x=3

Step-by-step explanation:

Add 4 to both sides and get 3x=5+4

Simplify 5+4 to 9 and get 3x=9

Divide both sides by 3 and get x=9/3

Simplify 9/3 to 3 and get the answer x=3

4 0
3 years ago
What is the measure of angle B?
Andre45 [30]

60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.

3 0
3 years ago
Other questions:
  • What is the answer to the problem Solve for w 9w=4x
    13·2 answers
  • How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a speed of 55 km/hr? *
    5·1 answer
  • Standard form of (-2,0)
    7·1 answer
  • Jake scored 269 points on three math tests. to get an a for the class, his average number of points on four tests must be no les
    9·2 answers
  • Cody filled a container with 8 1/4 quarts of iced tea. How many 1/4-quart glasses can be served from the container?
    11·2 answers
  • Find the exact circumference.<br> Then round to the nearest tenth.
    10·1 answer
  • (0.3d−1)/(3 1/3) =0.84÷ 7 1/5
    9·1 answer
  • Mark went to the sandwich shop. He had a choice of 2 types of bread, 3 meats, and 3 drinks. How many different combinations did
    9·2 answers
  • Y &lt; -6( x − 18) − 2 when y = 46?
    13·1 answer
  • (ii) During a sale, the price of a bag of rice was reduced from N25,000 to N20,000. What percent of decrease does this represent
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!