An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

The height of the body on the ground occurs at when f(x) = 0

0 =-16x^2+144

16x^2 = 144

x^2 = 144/16

x^2 = 9

x = 3

The ball reached the ground after 3 secs

The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;

Domain =(-\infty, infty)

Answer 2

The domain of the function is required.

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The function is

[tex]f(x)=-16x^2+144[/tex]

The y intercept of the function is

[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]

[tex](0,144)[/tex]

The y intercept is the maximum height here.

The x intercepts are the points where the object is on the ground.

They are

[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]

[tex](3,0),(-3,0)[/tex]

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The graph of the figure is attached.

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An Object Was Dropped Off The Top Of A Building. The Function F(x)=-16x^2+144f(x)=16x 2 +144 Represents

Related Questions

answer all of these please!

Answers

Answer:

1. Given

2. Given

3. Vertical Angles prop

4. SSS

Step-by-step explanation:

Hope this helps ya!

You are lucky I wish our teacher gave us proofs like this!

Pekka tosses a ball out of a window that is 40 feet in the air. Its initial velocity is 15
feet per second. The path of the ball is represented by
h = -16t2 + 15t + 40
How long does it take for the ball to hit the ground (in seconds) rounded to the
nearest hundredth?

Answers

Answer:

2.12 seconds

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 15t + 40[/tex]

Required

Determine how long the ball hits the ground

When the ball hits the ground means that [tex]h(t) = 0[/tex]

So, we have that:

[tex]h(t) = -16t^2 + 15t + 40[/tex] becomes

[tex]0 = -16t^2 + 15t + 40[/tex]

Reorder

[tex]-16t^2 + 15t + 40 = 0[/tex]

Multiply through by -1

[tex]16t^2 - 15t - 40 = 0[/tex]

Solve using quadratic:

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

Where

[tex]a = 16[/tex] [tex]b = -15[/tex] [tex]c = -40[/tex]

So, we have:

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

[tex]t = \frac{-(-15)\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]

[tex]t = \frac{15\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]

[tex]t = \frac{15\±\sqrt{225 +2560}}{32}[/tex]

[tex]t = \frac{15\±\sqrt{2785}}{32}[/tex]

[tex]t = \frac{15\±52.77}{32}[/tex]

Split:

[tex]t = \frac{15+52.77}{32}[/tex] or [tex]t = \frac{15-52.77}{32}[/tex]

[tex]t = \frac{67.77}{32}[/tex] or [tex]t = \frac{-37.77}{32}[/tex]

[tex]t = 2.12[/tex] or [tex]t = -1.18[/tex]

But time can't be negative

So:

[tex]t = 2.12[/tex]

Hence, time to hit the ground is 2.12 seconds

calculate the perimeter of a square with vertices on a circle of diameter 4 cm

Answers

Answer:

I dont like sqaures.

Step-by-step explanation: Their pointy.

I need help asap thxss​

Answers

Answer:

Step-by-step explanation:

How many pounds of turkey?

Answers

Answer:

11.25pounds

Step-by-step explanation:

Each person is eating two, 3/8

so 2x3/8=0.75 or 3/4

then do 3/4 x 15 = 11.25 pounds and for the price you do 11.25 x 1.05$ which is 11.81$ worth of turkey

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

Answer:

148

Step-by-step explanation:

Sa=2(lw+lh+wh)

Sa=2(4*5+4*6+5*6)

148=2(4*5+4*6+5*6)

Answer:

100 cm sq

Step-by-step explanation:

The answer is 100 cm sq because the formula would be:

SA= Ph + 2B

Sa= 10 x 6 + 2 x 20 (5 x 4)

SA= 60 + 40

SA= 100 cm sq

Please make me brainliest!!!

Alto's dove 9 meters below the ocean's surface. She then dove 15 meters deeperShe then rose 19 1/4 meters. What was her position in realtion to the surface of water?

Answers

Answer:

Alto was 4.75 meters under the water, or -4.75.

Step-by-step explanation:

Alto dove 9 meters and then 15 meters. We can add those two which is 24 meters. Then she rose 19 and 1/4, so we have to subtract that from 24.

I hope this helped, and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.

Answers

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

[tex]6x+2=5[/tex]

[tex]6x=5-2[/tex]

[tex]6x=3[/tex]

Divide both sides by 6.

[tex]x=\dfrac{3}{6}[/tex]

[tex]x=0.5[/tex]

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

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A recipe for pasta dough say's use 150 grams of flour per large egg how much flour is needed if 6 larg eggs are used ???

Answers

answer: 900

150 x 6 = 900

(150 is the grams PER egg)
(there is 6 eggs)
900 grams because the word per means to multiple so you multiply those numbers and you’ll get the answer.

Write a recursive rule for the sequence 10, 18, 26, 34….

Answers

Answer:

42

Step-by-step explanation: It keeps going up by 8

2. Similar rectangles have widths of 10 cm and 15 cm respectively. If the smaller rectangle's length is 18, what is the larger rectangle's length?

Answers

Answer:

8

Step-by-step explanation:

10/15=0.66666666666

0.66666666666 times 12 = 8 or the missing length

So the answer is 8 :)

On Friday Simon ate three tenths of a kg of cherries. On Saturday, he ate half of a kg of cherries. What amount of cherries are left now if he had one kg of cherries ​

Answers

Answer:

1/5 kg

Step-by-step explanation:

Initial amount = 1 kgEaten on Friday = 3/10 kgEaten on Saturday = 1/2 kg

Amount of cherries left:

1 - (3/10 + 1/2) = 1 - (3/10 + 5/10) = 1 - 8/10 = 2/10 = 1/5 kg

A sporting goods store received a shipment of 500 baseball gloves. 200 were left handed. What is the ratio of right handed gloves to gloves?

WILL RECIEVE BRAINLIST

Answers

Answer:

300:500

Step-by-step explanation:

If there are 200 left handed gloves, then there are 300 right handed gloves.

The total amount of gloves is 500, so its 300:500.

What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes

Answers

Answer:

down

Step-by-step explanation:

are there options

there are 1,920fence posts used in a 12-killometer strech fence how many fence posts are used in one kilometer

Answers

Answer:

160

Step-by-step explanation:

Just divide 1920 into 12

-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)

(70 points.)

Answers

Answer:

-12164.91462:)

Step-by-step explanation:

Solution of the three expressions;

1). -12.48-(-2.99)-5.62 = -15.11

2). -353.92-(-283.56)-131.29 = -201.65

3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)

What is PEMDAS?

When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.

1). -12.48-(-2.99)-5.62

= -12.48 + 2.99 - 5.62 (double negative becomes positive)

= -15.11

Therefore, -12.48-(-2.99)-5.62 equals -15.11.

2). -353.92-(-283.56)-131.29

= -353.92 + 283.56 - 131.29 (double negative becomes positive)

= -70.36 - 131.29

= -201.65

Therefore, -353.92-(-283.56)-131.29 equals -201.65.

3). 831 / 106 (92)

This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:

= 831 / (106 x 92)

= 831 / 9736

= 0.0852 (rounded to four decimal places)

Therefore, 831 / 106 (92) equals 0.0852.

To learn more about the PEMDAS;

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The complete question:

Find the solution to the expressions given below;

1). -12.48-(-2.99)-5.62

2). -353.92-(-283.56)-131.29

3). 831 / 106 (92)

S
You have $18 to spend on lip balm and hand sanitizer. The equation 1.5x + 2.5y = 18 represents this situation, where x is tubes of
lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand
sanitizer?

Answers

Answer:

(1.5×5) + (2.5×4)

Step-by-step explanation:

if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D

Three friends went apple picking and then counted the apples they picked.

Who had the largest red to green apple ratio? Use complete sentences to explain how you got your answer.

Answers

Eli has the largest red to green apple ratio.


This is because his red to green apple ratio is equal to 1.25.


In order to determine that you take 20 and divide it by 16.

Carmen has the largest red to green apple ratio.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

from the given chart , we get,

the  ratio as,

Carmen= 20:12

            =1.6

Dylan = 12:10

          =1.2

Eli = 16:20

    =0.8

now, we have,

Carmen has the largest red to green apple ratio.

This is because his red to green apple ratio is equal to 1.6.

In order to determine that you take 20 and divide it by 12.

To learn more on ratio click:

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#SPJ2

what is the answer?​

Answers

Answer: 60

Step-by-step explanation:

It’s an equilateral triangle based on the congruent sides.

help please thank you sm

Answers

the correct answer is 5/21


Solve for g
8.95 – 5.4g = 3.81 – 9.58 – 8.69

Answers

Answer:

3

Step-by-step explanation:

Answer:

g=4.33

Step-by-step explanation:

8.95 - 5.4g = 3.81 - 9.58 - 8.69

-5.4g = 3.81 -9.58 -8.69 - 8.95

-5.4g = 5.77 - 8.69 - 8.95

-5.4g = -14.46 - 8.95

-5.4g = 23.41

-5.4/-5.4 =23.41/-5.4

g=4.33

Factor the algebraic equation
36a+20

Answers

Answer:

4(9a+5)

Step-by-step explanation:

Answer:

4(9a+5)

Step-by-step explanation:

Their common factor is 4 so divide both by 4 and put it in parentheses times 4  

The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?

g(x) = 3x – 6
g(x) = 3x + 6
g(x) = 3x – 6
g(x) = 3x + 6

Answers

Answer:

Its A

Step-by-step explanation:

Trust me

Answer:

a

Step-by-step explanation:

Baking flour which costs $4.05/kg is made by combining bleached flour which costs
$5.75/kg with unbleached flour which costs $1.45/kg. Find the number of kg of bleached flour and unbleached flour required to make 17.2 kg of baking flour.

A) 11 kg of bleached flour, 6.2 kg of unbleached flour
B) 13.7 kg of bleached flour, 3.5 kg of unbleached flour
C) 12.7 kg of bleached flour, 4.5 kg of unbleached flour
D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour

Answers

Answer: D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour

Step-by-step explanation:

First find the cost of making a kg of Baking flour.

Assume that x kgs of bleached flour and y kgs of unbleached flour make a kg of Baking flour.

The formulas would be;

x + y = 1

5.75x + 1.45y = 4.05

x = 1 - y

5.75 ( 1 - y) + 1.45y = 4.05

5.75 - 5.75y + 1.45y = 4.05

5.75 - 4.3y = 4.05

4.3y = 5.75 - 4.05

4.3y = 1.7

y = 1.7/4.3

y = 0.395 kg

x = 1 - 0.395

= 0.605kg

To make 1kg of Baking flour, 0.605kg of bleached flour and 0.395kg of unbleached flour is required.

To make 17.2kg of Baking flour;

Bleached flour = 0.605 * 17.2 = 10.4kg

Unbleached flour = 0.395 * 17.2 = 6.8 kg

what is 5(3x+8) answer?

Answers

Answer:

15x + 40

Step-by-step explanation:

5(3x + 8)

Use the distributive property and multiply 5 by 3x and 8

5(3x + 8)

15x + 40

The points (20, 80) and (30, 120) form a proportional relationship. What is the slope of the line that passes through these points?

Answers

Slope = (y2-y1)/(x2-x1)
(120-80)/(30-20)
= (90)/(10) = 9
The slope is 9

Find the equation of the line through point (−2,3) and parallel to y=x+1. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answers

Answer:

y = x + 5

Step-by-step explanation:

The standard form of the slope-intercept is

y = mx + b

where m is the slope

According to this question, the slope is 1 for the given equation

If two lines are parallel, they have equal slopes

So the slope of the line we are trying to get is 1

We can now use the point-slope form to get the equation of the second line

Mathematically, that will be

y-y1 = m(x-x1)

where m is slope and (x1,x2) are the points given

So therefore;

y-3 = 1( x - (-2))

y-3 = x + 2

y = x + 5

What is the binary number for 24​

Answers

Answer:

Here im to lazy to solve so a pic  

Step-by-step explanation:

Answer

11000

Explanation

I looked it up

15. Which expression has the greatest value?
A. 142-(-172)
B. 1 12+ -1 12
C. -142 - (-14)
D. 142

Answers

Answer:

i think that its D

Step-by-step explanation:

hopes this helps

i'm pretty sure it's d :))

create a function and explain why it is a function using academic vocabulary (input ,output, mapping, vertical line test and function (​

Answers

an example would be using points
(0,0)(1,2)(7,14)(10,20)

it is a function because each input has only one input.

or

using the vertical line test none of the points are on the same line
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