The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+4. The object is dropped again from a different starting height so that it hits the ground 2 seconds later. Write a function g that models the path of the object the second time it is dropped.

Answers

Answer 1

Answer:

g(x) = - 16x² + 100

Step-by-step explanation:

Given the model:

First drop:

h(x) = - 16x² + 4

Second drop hits the ground 2 seconds later

Function g(x) to model the second drop:

-16t² + V0t + h0

h(x) = - 16x² + 4

0 = - 16x² + 4

16x² = 4

x² = 4/16

x² = 1/4

x = 1/2

2 seconds later :

X = 1/2 + 2

x = 2.5

0 = - 16(2.5)² + 0 + h0

0 = - 100 + h0

h0 = 100

Hence,

g(x) = - 16x² + 100


Related Questions

The Coefficient or constant takes the sign directly to the right or left of it?

Answers

Answer:

Directly to the left of a variable

Step-by-step explanation:

Which table represents a nonlinear function?

Answers

Answer:

I think D though I'm not sure

Step-by-step explanation:

what is 49% of 15? I'm very confused on this.

Answers

Answer:

7.35 is 49% of 15.

Step-by-step explanation:

Answer:

7.35%

Step-by-step explanation:

Identify the value of y.
9-7y×7 = (6+5)-3y-416
pls help

Answers

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{9−7y(7)=6+5−3y−416}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{9−7y(7)=6+5−3y−416}[/tex]

[tex]\fbox{9+−49y=6+5+−3y+−416}[/tex]

[tex]\fbox{−49y+9=(−3y)+(6+5+−416)}[/tex](Combine Like Terms)

[tex]\fbox{−49y+9=−3y+−405}[/tex]

[tex]\fbox{−49y+9=−3y−405}[/tex]

Step 2: Add 3y to both sides.

[tex]\fbox{−49y+9+3y=−3y−405+3y}[/tex]

[tex]\fbox{−46y+9=−405}[/tex]

Step 3: Subtract 9 from both sides.

[tex]\fbox{−46y+9−9=−405−9}[/tex]

[tex]\fbox{−46y=−414}[/tex]

Step 4: Divide both sides by -46.

[tex]\fbox{−46y/−46 = −414/−46}[/tex]

[tex]\fbox{y=9}[/tex]

Answer:

[tex]\fbox{y=\fbox{9}}[/tex]

Select the equivalent expression.

Answers

Answer:

D

Step-by-step explanation:

Answer:

the answer is d

hope it helps !!

Explain what the inequality --4h <-14 represents.
What value of h makes the equation true

Answers

Answer:

-4h < - 14

We solve for h by applying the inverse operations;

The inverse operation of multiplication is division, so we divide by -4 on both sides;

/-4      /-4

h < 3.5, it could be 3.4, 3.3, 3.2 3.123, 2.4, 2.576, there are tons of numbers below 3.5.

So anything below 3.5 would best be suitable for the equation.

If someone solves the surface area I’ll be marking them brainliest

Answers

Answer:

the correct answer for the rectangular prisim is 32

The surface are of the rectangular cuboid is 32.

1. Label the length (l), width (w), and height (h) of the prism

2. Use the formula, SA=2lw+2lh+2hw, to find the surface area.

Another option:

- Add the areas of all 6 faces

Question 1 of 5
Select the correct answer.
The dance committee at a local high school polled students to determine what theme they would like to have for the school dance. The
results of the poll are shown in the two-way frequency table below.
Starry Night Beach Party Masquerade Total
Girls 92
48
56 196
Boys 68
88
48 204
Total 160
136
104 400
Approximately what percentage of the total number of girls prefer the starry night theme?
57.5%
46.99
73.9%
34.7%
Submit
Reset

Answers

Answer: 46.9%

Step-by-step explanation:

what can be squared to get 39.

Answers

Answer:

Firstly multiply 39 times 39 which will give you 1071 and that is your answer.

The square root of 39 is 6.245, so your answer would be

6.245 can be squared to get 39.

Johnny has a rectangular painting that he wants to build a wooden frame for. The pain measures 14 inches wide by 16 inches long. How much wood will Johnny need to frame the painng

Answers

Answer:60 inches

Step-by-step explanation: 14+14+16+16=60

This website is useless dont get any type of answers

Answers

Answer: Tetsurō Kuroo here!

Step-by-step explanation:

Yes that is true.

Hello Guys, I really need help with these questions. Here they are.
Solve each absolute value inequality and show its solution set.
(a) |x|<7
(b) |x+3|<9
(c) |y-8|>11
(g) |3x-1| greater or equal to 18
|4y+3| less than or equal to 13
Please help me with these. WIll give 20 pts. I will award brainly for the best answer!

Answers

Step-by-step explanation:

Ok, so first...

a) if x is positive, it will remain x, so *x<7*

b) if x+3 is positive, it will be x+3<9 but you have to simplify it so you subtract 3 on both sides and get *x<6*

c) if y-8 is positive, it will stay like that, and you then add 8 on both sides to get *y>19*

g) if 3x-1 is positive, it will be 3x-1 greater than or equal to 18. add 1 on both sides and *3x > or = to 18*

4y+3 < or = 13. subtract 3 on both sides and you get *4y < or = 13*

One more thing:

Less than or equal to is a '<' with a line underneath.

Greater than or equal to is a '>' with a line underneath.

Question 6
2 pts
Two trains left a station at the same time. Train A traveled north at a certain speed and train B traveled south
at twice that speed. After 4 hours, the trains were 600 miles apart. How fast was each train traveling?
Train A was traveling
mph... (hint... this is the slower train)
Train B was traveling
mph.

Answers

Step-by-step explanation:

Train 1 speed be 'u'

Train 2 speed be 'v'

And v=2u

Speed=distance/time

Trains going in opposite directions

Relative speed= v-u (as train 1 I slower than train 2)

v-u=600/4

2u-u=150

u=150miles/hour

v=300miles/hour

1. Find the area of this complex shape. ​

Answers

Answer:

Area (figure) = 134 cm²

Step-by-step explanation:

Area (figure) = Area (rectangle 1) + Area (rectangle 2)Area (figure) = 10 x 5 + 12 x 7Area (figure) = 50 + 84Area (figure) = 134 cm²

Find the value of each shape. PLEASE HELP! I WILL GIVE BRAINLIEST!

Answers

Answer:

Triangle =  1 1/2

Square = 10

Step-by-step explanation:

Given:

Triangle + Triangle + Square + Square = 23

Square - Triangle = 4 1/2

10 + 10 + 1 1/2 + 1 1/2 = 23

Hence, Square = 10 and Triangle = 1 1/2

~Lenvy~

PLEASE HELP IM STUCK AND TIMED
Which statements describe survivors of the Holocaust after the war? Choose two correct answers.

Many did not want to return to Germany or Poland.
Many moved to Russia to create Jewish communities.
Many created communities near the concentration camps.
Many survivors moved to other countries around the world.
Many created museums and memorials for those who had died.

Answers

AnswerA &D

Step-by-step explanation:A

D

the length of two side of triangle are given below . between what two measure should the length of the third side​

Answers

Step-by-step explanation:

where I don't see the diagram??

Answer (a): 2
(b) () Find the Highest Common Factor (HCF) of 120 and 150.

Answers

Answer:

The HCF of 120 and 150 is 30.

Each day, 1035 new apps are uploaded to a web server. After 28 days, how many apps would have been uploaded?

Answers

Answer:

count 1035 28 times i guess.

Step-by-step explanation:

What is 10,000 + 4,000 + 500 + 8 in standard form?

Answers

Answer:

Fourteen thousand five hundred eight

Step-by-step explanation:

A submarine is 37 meters below sea level. The submarine goes up 12 meters and
then descends(down) 40 meters. What is the submarine's new position relative to sea
level?

Answers

Answer:

65 meters below sea level

Step-by-step explanation:

so we can do one of 2 things, either 37-12+40, or -30+12-40, either way will give you the 65, just one will be a negative. obviously the submarine is going down, so if you do the positive way, just remember that it is negative.  

According to the data collected in 2010, there is a scarcity of __________ throughout the state of Arizona.

Answers

There was scarcity of energy and water resources throughout the state of Arizona according to the data collected in 2010.

What caused the water drought?

The major cause of the scarcity was extensive drought conditions that occurred to the Colorado River system that supplies 36%o f Arizona's total water use.

In conclusion, the government have been employing many policies to increase their water reservoir level.

Read more about water drought

brainly.com/question/12686086

Answer: Water

Step-by-step explanation:

Marsha and Ashanti and saving money for a summer trip. The amount of money Marsha has can be expressed as M(x) = 20x + 400. The amount that Ashanti has can be expressed as A(x) = 25x + 350. They have decided to combine their saving accounts. Formulate a function that will show their total earnings for the trip.

Answers

Step-by-step explanation:

it is the vertical of 5 and 6 aww you can do that

Simplify:5m+3n-2m+n​

Answers

Answer:

3m+4n

Step-by-step explanation:

5m-2m=3m 3n+n=4n so 3m+4n

ANSWER: 7m+4n

Explanation: combine like terms.

The diameter of a semicircle is 16 miles. What is the semicircle's perimeter?

d=16 mi

Use 3. 14 for ​.


Please help.

Answers

[tex]\textit{circumference of a semi-circle}\\\\ C=\pi r~~ \begin{cases} \stackrel{\textit{half diameter}}{r=radius}\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies C=\pi (8)\implies \stackrel{using~\pi =3.14}{C=25.12}[/tex]

Write an algebraic expression for the word expression. Use n for the
variable. *
eleven increased by a number
Your answer

Answers

Answer:

11+n

Step-by-step explanation:

eleven increased by a number

11+n

hope it helps

question help please

Answers

Answer:

x = 25

Step-by-step explanation:

The sum of the three interior angles of a triangle is always 180°.

4x + 2x + 30 = 180

6x + 30 = 180

6x = 150

x = 25

Answer:

sum of the interior angles of a triangle =180

2× + 4× + 30=180

6× + 30= 180

6× + 30 = 180

6× = 180-30

6× =150

6×/6=150/6

×= 25

How many solutions does this equation have: y=-2x^2+5x-9

Answers

Step-by-step explanation:

First we solve it.

I'll use substitution.

In the first equation y equals -2x+2 so we can apply that to the second equation

2y + 4x = 4

2(-2x+2) + 4x = 4

distribute

-4x+4+4x=4

simplify

4=4

To figure out how many solutions it has:

•If both side of the equal sign are exactly the same: Infinitely many

ex: 6x=6x

•If both sides of the equal sign do not match when completely simplified: No solutions

ex: 3x=-5x

•If it creates an equation: 1 solution

ex: x=3+2y

Since both sides of the equal sign are 4, we have infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Still stuck? Get 1-on-1 help from an expert tutor now.

3) Use the diagram to help you answer the question below.
Rational numbers
Integers
-88
-10.1
-191
Whole numbers
22
Which of the following is both a rational number and a whole number?
-88
-10.1
-191
22

Answers

Answer:

The number that both a rational number and a whole number is 22

Step-by-step explanation:

The whole numbers are the non-negative integers

Whole numbers ∈ the set of IntegersWhole numbers ∈ the set of Rational numbers

The integers are rational numbers with denominators 1

Integers ∈ the set of Rational numbers

The rational numbers are the numbers that can be written in the form of [tex]\frac{a}{b}[/tex] ,

b ≠ 0

Let us study the numbers in the figure:

The set of whole numbers ⊂ the set of integers ⊂ the set of rational numbers

∵ 22 ∈ the set of whole numbers

∴ 22 is a whole number

∴ 22 is a whole number and an integer

22 is a whole number, an integer, and a rational number

The set of integers ⊂ the set of rational

∵ -88 and -191 ∈ the set of integers

∴ -88 and -191 are integers

-88 and -191 are integers and rational numbers

∵ -10.1 ∈ The set of rational numbers

-10.1 is a rational number

Let us answer the question

→ We need to find a number that is a rational number and a whole number,

   which means it must ∈ to the set of the whole numbers

∵ We only have one number ∈ the set of whole numbers, it is 22

∴ The number that both a rational number and a whole number is 22

what is the geometrick mean of 27 and 8 with the pothagereom theorem

Answers

Answer:

x = 6√6

Step-by-step explanation:

27/x = x/8

x² = 27 × 8

x = √(27 × 8)

x = √(9 × 4 × 6)

x = 3 × 2 × √6

x = 6√6

Answer:

The geometric mean of 27 and 8 is [tex]6\sqrt{6}[/tex] or about 14.697

Step-by-step explanation:

The geometric mean is [tex]( \prod_{i=1}^{n} x_{i})^{\frac{1}{n}}=\sqrt[n]{x_1x_2 \cdot\: \cdot \:\cdot x_n}[/tex] where [tex]n[/tex] is the number of values and [tex]x_i[/tex] are the values to average. Thus, your geometric mean is [tex]\sqrt{27*8}=\sqrt{216}=6\sqrt{6}\approx14.697[/tex]

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