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
sammy [17]
2 years ago
7

A missile is launched from the ground. Its

Mathematics
1 answer:
Softa [21]2 years ago
3 0

Answer:

The height of the missile in the air after 11 seconds is 330 feet.

Step-by-step explanation:

The standard form for the quadratic function f(x)= , which is the function of the parabola model.

We are given two points.

(1, 130) and (2, 240)

Here the first coordinate represents the x (time) and the second coordinate represents h(x), which is height.

Now plug these two coordinates and find the two equations.

(1, 130), the equation is

130 = a.(1)^2 + b(1) + c, where "c" is the initial height. Which is equal to zero.

Therefore, we get

130 = a + b + 0

a + b = 130 -------(1)

Now let's form the second equation using the coordinate (2, 240)

240 =

240 = 4a + 2b -------------(2)

Now let's solve the equations (1) and (2) and find the value of "a" and "b"

a + b = 130 can be written as a = 130 - b

Here we can use the substitution method.

Now plug in a = 130 - b in the second equation, we get

240 = 4(130 - b) + 2b

240 = 520 - 4b + 2b

240 = 520 - 2b

2b = 520 - 240

2b = 280

Dividing both sides by 2, we get

b = 140

Now plug in b = 140 in a = 130 -b and find the value of a

a = 130 - 140

a = -10

Now we got a = -10 and b = 140.

We plug in a = -10 and b = 140 in the general form, we gety

h(x) =

Where c is the initial height, which is equal to 0.

h(x) =

Now plug in x = 11 seconds and find the height.

h(11) = -10(11)^2 + 140 (11)

= -10 (121) + 1540

= - 1210 + 1540

h(11) = 330 feet,

Therefore, the height of the missile in the air after 11 seconds is 330 feet

You might be interested in
Please help me no links!!
kaheart [24]

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

6 0
3 years ago
Read 2 more answers
Which statement is best represented by the inequality c greater-than 3 and one-half?
luda_lava [24]

Answer: Chef Andre used more than 3 and one-half cups of flour.

Step-by-step explanation:

This is the > ‘greater than sign. For the question, we are to get the inequality that shows that"c is greater-than 3 and one-half".

Let Chef Andre be represented by c. Greater than is used to denote a situation when something is."more than" another thing. In this scenario,

Chef Andre used more than 3 and one-half cups of flour. This can be represented as C > 3 1/2.

This is the correct answer.

3 0
3 years ago
Read 2 more answers
Zuma was earning $9.40 per hour when she got a 6% increase in pay. What was her rate of pay after the increase
Mnenie [13.5K]
$9.96 To do the math take your starting value and multiply 9.40 by 1.06 (1 in the 1's place because you are just adding 6%) (0.6 in the hundredths place due to the 6/100% or 06/100%)
6 0
3 years ago
2. Simplify the expression x^2+x-28/x^2-7x+12
tankabanditka [31]
The answer is   x^4-6x^3+12x^2-28/x^2


5 0
3 years ago
A baseball weighs 5 ounces. How much do 6 baseballs weigh?
antoniya [11.8K]
This is a question that involves multiplication. If 1 baseball weighs 5 ounces, and you're trying to find out how many 6 weigh, multiply 5x6. The answer is 30. Hope this helps.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Determine whether the function represents exponential growth, exponential decay, or neither. Explain.y = 161(0.725)t
    10·1 answer
  • Simplest form -4j-1-4j+6
    14·1 answer
  • Amaia purchased two blouses for $12.50 each and a skirt for $11.25. The sales tax rate is 8.5%. How much total sales tax will Am
    14·1 answer
  • 6. What two numbers multiply to -30 and also add to -13?
    14·2 answers
  • The polygons are similar. Find the value of x and y.
    7·1 answer
  • A school allots £1500 to spend on a trip to the theatre.
    12·2 answers
  • Th>
    10·1 answer
  • What is the value of (23)2?
    14·2 answers
  • Simplify by combining like terms:<br> 5a + 2b - 3b + 4
    12·2 answers
  • A linear function contains the following points.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!