The motion of the ball from the time it was thrown upwards was modeled closely by the function,h(t)=-16t2+128t+144, where h(t) represents the height of the ball in feet after t seconds. After how many seconds did the ball reach the ground?
please I need help

Answers

Answer 1

Answer:

9 seconds

Step-by-step explanation:

When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:

[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]

Now you can solve this any way you like, such as by using:

[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]

This is an easy polynomial though, and you may be able to factor it just by eyeballing it:

[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]

You can't have negative time, so we reject -1, leaving only 9 as the answer.


Related Questions

can someone please help!! 30 POINTS!!

Answers

Answer:

y = 5

Step-by-step explanation:

| x | means absolute value. That is number itself ( without the negative sign)

y = |x| - 6

y = | -11 | - 6

y = 11 - 6 = 5

If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K’(2,5)
K’(-2,-5)
K’(-5,2)
K’(2,-5)

Answers

K' (-2,-5) if it's rotated 90 clockwise but if it's anti-clockwise it will be K'(5,2)

(x-8)^2+(y+4)^2=12 find the coordinates of the center and the Measure of the radius for a circle

Answers

Answer:

Center: (8, -4)

Radius: 2√3

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calculus

Circle Center-Radius Equation: (x - h)² + (y - k)² = r²

(h, k) is centerr is radius

Step-by-step explanation:

Step 1: Define

Identify

(x - 8)² + (y + 4)² = 12

(h, k) = (8, -4)

r² = 12 → r = √12 = 2√3

can someone pls answer and explain this correctly?

Answers

Answer:

[tex]6^4[/tex]

Step-by-step explanation:

All you have to do for this is follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Substraction) Which is the order of operations.

First you do parenthesis, [tex](2^2)^2[/tex], when you have a positive exponent outside a parenthesis like this, you add them together, and in this case, you get, [tex](2^2)^2=2^4=16[/tex]

After that, you do the rest of the exponents as well as multiplication, [tex]3^4=81[/tex].

Now we plug in the 81 from our last step along with the 16 from the first step and multiply them together. [tex]3^4*(2^2)^2=81*16=1296[/tex]

Then you just simply need to find which of the answers come out to be the result we got which is 1296. Out of these 4 possible answers, [tex]6^4[/tex] ends up being equal to 1296 which means that is the correct answer.

Answer:

6^4 is equivalent to 3^4 x (2^2)^2

Step-by-step explanation:

3^4 x (2^2)^2                  6^8 = 1679616

  3^4 x (4)^2                    6^4 = 1296

     81 x 16                       5^4 = 625

         1296                       5^8 = 390625

find the sum of (2x-12) from x=7 to x=16

Answers

Answer:

it's 2 obviously

Step-by-step explanation:

thanks

Find the greatest common factor of 15y^4 and 14y^2

Answers

Answer:

y^2

Step-by-step explanation:

Here, we want to get the greatest common factor

Looking at the two, 14 and 15 has no common factors

So, we shift focus to the y raised

We have this as ;

y^2( 15y^2 + 14)

Thus, y^2 is the common factor

n⋅(17+x)=34x−r solve for x

Answers

the answer to x in this question is
i hope this helped:)

Answer:

x= -r-17n

     n-34

thats a fraction btw

can someone help please...

Answers

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

Who knows the answer fr cause everybody keep giving the wrong answer

Answers

I think it''s Angle APD.

If x^4-y^4=45 and x^2-y^2=5, then x^2+y^2=?
A. 9
B. 15
C. 20
D. 40
E. 50

Answers

Answer:

here u go

Step-by-step explanation:

i got a

Answer:

x^2 + y^2 = 9

What is the difference of square formula (a ^ 2 - b ^ 2)?

It is used to find the difference between the two squares without actually calculation the square.

a^2 - b^ 2 = (a-b) (a +b)

x^4 - y^4 = 45

(x^2)^2 - (y ^2) ^ 2 = 45

(x^2 - y^ 2) (x^2 + y^2) = 45

5 (x^ 2 + y ^ 2) =45

x^2 + y^2 = 9

correct option is  A ) 9

Learn more about  difference of square formula

https://brainly.com/question/13647939?referrer=searchResults

#SPJ2

Simplify the following expression (a³b)⁴

Answers

Answer:

a¹²b⁴

Step-by-step explanation:

When terms with exponents are multiplied, the exponents multiply.

(a³b)⁴ = a¹²b⁴

Answer: a^12b^4

Step-by-step explanation:

(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4

22. Jordan invests $1000 in an account that pays 7% interest compounded continuously. To the nearest cent, how much will be in the account at the end of 3 years? Use A = Pe! $1233.68
$4352.05
$6122.97
$8166 17​

Answers

Answer:

The formula to find interest over time is I=PRK

so 210=1000*0.07*3

add 210 to 1000 and we get  1210 so  idontknow now now the the answers make any since s0rry

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

angle B is 33 degree

Step-by-step explanation:

let angle A be x and angle D also be x.(because the base angles of ann isosceles triangles are equal)

x+x+48=180 degree(sum of interior angles of a triangle)

2x=180-48

x=132/2

x=66

therefore angle A and Angle D is 66 degree

angle A + angle C=exterior angle D (sum of two interior opposite angles are equal to the exterior angle formed)

66+48=exterior angle D

114 = exterior angle D

In triangle DCB

let angle C be y and Angle B also be y(bases angles of an isosceles triangle are equal)

y+y+114=180 degree(sum of interior angles of a triangle )

2y=180-114

y=66/3=2

y=33 degree

therefore angle B is 33 degree

Helppp meee please!!

Answers

Vertical stretch

Hope this helps! :)

Vertical stretch ununinin

If ∠a = 85°, what does ∠b equal?

Answers

Answer:

the mesurement of angle b is°

Help please ASAP ASAP

Answers

Answer:

-1/12

Step-by-step explanation:

The slopes of perpendicular lines are equivalent to -1.

Answer:

-1/4

Step-by-step explanation:

Subtract 12x from both sides to get -3y=-12x+81

Divide both sides by -3 to get y=4x-27

Take the negative reciprocal of 4, which is -1/4

Answer my question its urgent

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

how would i graph -2≤x<4

Answers

Answer:

Step-by-step explanation:

Like that on the graph but on the x axis

Answer:

I hope this helps!

Step-by-step explanation:

Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).

i neeeddd this pleaseee and thank u

Answers

Answer:

(6, 2)

Step-by-step explanation:

xD' = (0-0) + (3×2) = 0+6 = 6

yD' = (2-0) + (3×0) = 2+0 = 2

the dilated coordinate D' (6, 2)

Answer:

6 and 2 pls answer my questions plss

Find the 12th term of the geometric sequence 8, 16, 32...

Answers

Answer:

a₁₂ = 16384

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then

a₁₂ = 8 × [tex]2^{11}[/tex] = 8 × 2048 = 16384

Answer:

16384

Step-by-step explanation:

We know that this is geometric sequence meaning we are multiplying the term before by a constant number.

We can see that 8 x 2 = 16 and 16 x 2 = 32. Meaning the number we are multiplying by is 2.

Terms:

We know that 8 is out first "term" so we don't multiply by anything. 16 is the second and we multiply 8 once to sixteen. 32 is the third and we multiply 8 twice by 2 to get to 32. We can see that the number of times we multiply is always 1 less that the term number.

We can write this equation. 8 x 2 ^ (n-1)

n is the term number.

This makes sense because we start with eight and multiply by two. We raise it to the n-1 power because we know we multiply 2 n-1 times to eight.

Answer:

Let's plug in our numbers!

8 x 2 ^ (12 - 1)

I use twelve because we're trying to figure out the 12th term.

8 x 2 ^ 11 = 16384

If you have a khan academy account I highly suggest you check out the unit about sequences in algebra 1! Good Luck

JoeLouis2

You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.​

Answers

Answer:

5 jump shots.

Step-by-step explanation:

Let l = number of layups and j = number of jump shots

l + 2j = 21

11 + 2j = 21

2j = 10

j = 5

5 jump shots are needed to win the game and not go over 21 points.

Which of the following tables represents a function?

Answers

Answer:

The last one

Step-by-step explanation:

The answer ISN’T -9/5,3.

Don't have to explain, but if u want then to ahead.

Thank you! :)

Answers

Answer:  [-1.8, 3]

Don't forget the square brackets.

=============================================

Work Shown:

[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]

note 1: I added 3 to all sides to undo the "-3" in the middle.

note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).

--------------------

From there, we convert from compound inequality notation to interval notation.

Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]

The square brackets say to include the endpoint.

So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]

x is any real number between -1.8 and 3, including both endpoints.

----------------------

It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.

If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]

Math problem please

Answers

h t ty tierce invgjjiiiiiiiio

what is the simplify answer to 4 3/5 + 15 ÷ 1/5 =​

Answers

Answer:

79.6

Step-by-step explanation:

4 3/5+15÷1/5

23/5+15÷1/5

4.6+15÷0.2

4.6+75

79.6

How many solutions are there to the following equation?
2(x + 1) = 2x + 1
A. O
B. 1
C. Infinitely many

Answers

Answer: C. Infinity many

What is 5x^3 - 15x^2 factored, completely?

Please show all the work!!

Answers

Answer:

5x²(x - 3)

Step-by-step explanation:

Factor out 5x²

5x²(x - 3)

Answer:

The answer is [tex]5x^{2} (x-3)[/tex].

Step-by-step explanation:

To completely factor [tex]5x^{3}-15x^{2}[/tex], start by factoring [tex]5x^{2}[/tex] out of [tex]5x^{3}[/tex], which will look like [tex]5x^{2} (x)-15x^{2}[/tex].

Next, factor [tex]5x^{2}[/tex] out of [tex]-15x^{2}[/tex], and it will look like [tex]5x^{2} (x)+5x^{2} (-3)[/tex].

Then, factor [tex]5x^{2}[/tex] out of [tex]5x^{2} (x)+5x^{2} (-3)[/tex], and the final completely factored form is [tex]5x^{2} (x-3)[/tex].

What is an equation of the line that passes through the points (3, -3) and (6, -1)?​

Answers

Start by finding the slope using m = (y2 - y1)/(x2 - x1). Substituting in you get (-1 + 3)/(6 - 3). So m = 2/3

Next, use y - y1 = m(x - x1) and substitute any of the coordinates in: y + 3 = 2/3(x - 3). That gives you y + 3 = (2/3)x - 2. So tha final answer is y = (2/3)x -5

Find the common difference of the arithmetic sequence.
0, 0.4, 0.8, 1.2, . . .

Answers

Each time it increases by 0.4

0 - 0.4 - 0.8 - 1.2 - 1.6 - 2.0 - 2.4 - 2.8 - 3.2 etc.

hi pls help me out with this

Answers

A = S^2 = 12^2 = 144 m^2
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