Hurry I need help pls hurry.

a missile is launched from the ground. its height, h(x), can be represented by a quadratic function in terms of time, x, in seco

fomenos

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)= $ax^2 + bx + c$ , 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 = $a(2)^2 + b(2) + 0$

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) = $-10x^2 + 140x + c$

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

h(x) = $-10x^2 + 140x$

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.

6 0

3 years ago

Help me figure this out please it’s due today i will name you brainliest!

kompoz [17]

Answer:

i know 4 is 1 i think

Step-by-step explanation:

7 0

3 years ago

Lucy and Ricky buy a home. They plan to make a down payment and carry an $82,500 mortgage. Closing costs are $2,000 and are adde

Anon25 [30]

The awnser is b um I won't say anything else

8 0

3 years ago

Read 2 more answers

Does the data suggest a linear, quadratic, or exponential model?

oksano4ka [1.4K]

Exponential model because it's increasing rapidly.

4 0

3 years ago

4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4

eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

$a_n=a_1+d(n-1)$ and we are given enough info to fill in:

$a_n=-35+4(n-1)$ and

$a_n=-35+4n-4$ and

$a_n=-39+4n$ or in linear format:

$a_n=4n-39$ where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

$a_2=4(2)-39$ so

$a_2=8-39$ and

$a_2=-31$

The third term:

$a_3=4(3)-39$ and

$a_3=12-39$ so

$a_3=-27$ and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

$a_5=4(5)-39$ and

$a_5=20-39$ so

$a_5=-19$

7 0

3 years ago