An object is launched directly in the air at a speed of 8 feet per second from a platform located 4 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+8t+4, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?

Answers

Answer 1
The maximum height is 68 ft. The easiest way to find this answer is by using the online desmos graphing calculator. It is a lifesaver

Related Questions

ILL GIVE BRAINLIEST! THIS IS DUE SOON PLEASE

Answers

Answer:

-3

Step-by-step explanation:

a. Simply put (x+h) wherever you have x.

[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h[/tex]

b. We have the first part, just subtract

[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h - (-3x+7) = -3x+7-3h +3x -7 = -3h[/tex]

c. Finally, we divide by h[tex]\frac{-3h}h = -3[/tex]



What is the slope of the line?

Answers

y = 4x - 3
Hope this helps

PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours? If Ava makes $15 in 2 hours, what is her rate of pay? 3nt took 5 hours to mow 6 yards. At that rate, how many yards can be mowed in 20 hours? co malaya $ o 94 If 10 bags of ice cost $12, how much does 1 bag cost? 5 A car gets 30 miles per gallon of gas. At that rate, how many gallons would it take for the car to go 360 If you type 75 words in 3 minutes, at what rate do you type? RECORD PASSCODE Directions Complete the questions, match each answer on the decoder eing, med record the letter from that spot When complete, go back to The Nission page te access the posscode reader to check your answer and solve another part of the mystery​

Answers

The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:

1. Given that 3 cakes takes 6 hours to bake, then:

1 cake = [tex]\frac{6}{3}[/tex]

           = 2 hours

So that;

the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]

                                    = 6

The number of cake to be baked in 12 hours is 6.

2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]

                                 = $7.5 pr hour

Thus Ava's rate of pay is $7.5 per hour.

3. It took 5 hours to mow 6 yards. Thus;

To mow 1 yard = [tex]\frac{5}{6}[/tex] hours

The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]

                                                = 20 x [tex]\frac{6}{5}[/tex]

                                                = 24

The number of yards to be mowed in 20 hours is 24.

4. Given that 10 bags of rice cost $12, then;

1 bag = [tex]\frac{12}{10}[/tex]

         = 1.2

1 bag = $1.2

The cost of a bag of rice is $1.2.

5. Rate = 30 miles per gallon

The number of gallons required = [tex]\frac{360}{30}[/tex]

                                        = 12

Thus 12 gallons would be required by the car to travel 360 miles.

6. Rate = [tex]\frac{75}{3}[/tex]

            = 25

Rate = 25 words per minute

The typing speed is 25 words per minute.

For more on rate, check: https://brainly.com/question/119866

f(-x)=3x^2+4x-4

find f(-x)

Answers

My friends the answer is F (-X) = 0

What is a quartic function with only two real zeros at x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91

B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91

C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609

D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13

Answers

Zeros be a and b

a=7b=13

Function

[tex]\\ \sf\longmapsto y=x^2-(a+b)x+ab[/tex]

[tex]\\ \sf\longmapsto y=x^2-(7+13)x+(7)(13)[/tex]

[tex]\\ \sf\longmapsto y=x^2-20x+91[/tex]

Option B

Write the linear equation that gives the rule for this table.
x f(x)
1 –47
2 –45
3 –43
4 –41

Answers

Answer:

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

Step-by-step explanation:

ILL GIVE BRAINLIEST!!! Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy?

Answers

Answer:

The answer is 7 she Can Buy 7 packages of cookies.

Step-by-step explanation:

1. 15-5.50=9.50

2.9.50-7.75=1.75

3. 1.75-0.25*7=0

She wouldn't have any money left over to buy it

The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the work done in Joules when moving the particle from x=2 to x=5?

Answers

[tex]W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J[/tex]

what 5 + 5- just asnwer pls

Answers

Answer:

5+5=10

but if you mean

5+-5 then that = 0

Step-by-step explanation:

Veronica has two offers for a $65,000 student loan. The first loan has a 6.3% interest rate for 15 years, and the second loan has a 4.8% interest rate for 20 years. Both loans have interest compounded every month. Veronica is interested in finding the loan that minimizes the amount of interest that she will pay over the life of the loan. Which loan has a lower amount of interest paid?

Answers

The second option has a lower amount of interest paid.

In order to determine the loan option that minimizes loan payment, the future value of both loan options has to be determined.

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

First loan option

65000( 1 + 0.063/12)^300 = 312,707.21

Second loan option

65000( 1 + 0.048/12)^240 = 169,435.51

A similar question was answered here: https://brainly.com/question/23082103

ill mark brainliest thanks​

Answers

Answer:

x=10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

6x-7 = 26+2x+7

Combine like terms

6x-7 = 2x+33

Subtract 2x

6x-7-2x =2x+33-2x

4x-7 = 33

Add 7 to each isde

4x-7 +7 = 33+7

4x=40

Divide by 4

4x/4 = 40/4

x=10

A square is inscribed in a circle as shown below. The radius of the circle is
decreasing at a constant rate of ½ centimeter per second. When the
radius of the circle is 4√2 centimeters, what is the rate of change of the
area of the shaded region found outside the square but inside the circle.

Answers

Answer:

3

Step-by-step explanation:

Hello, Sorry To bother you nice ppl but more questions awaits u :)

Answers

Answer:

B. -2x + 10 is the correct answer

Answer:

(C) -2x + 10

Step-by-step explanation:

This is going to be multiplication from the first number outside the "Bubble"

                              -2 multiplied by x = -2x ,

why ? because a negative times a positive makes a negative    

                      Next is -2 multiplied by -5 = 10

why ? because a negative times a negative = equals a positive !

now .. you add up all of the sums together to make an equation ..

                            Answer would be -2x+10

9 - 3 ÷ 1/3 + 1 = x
pls help

Answers

Answer:

Step-by-step explanation:

x=9

Question 2 Fill-In-The-Blank Worth 3 points)
(04.04)
Point R is at (4.1.5) and Point T is at (429) on a coordinate grid. The distance between the two points is_(Input numbers and decimal point only, such as 82)
Answer for Blank 1

Answers

Answer:

1.4

Step-by-step explanation:

in the graph, the points are 14 points apart, when the step of the graph is set to .1, if you count, they're .14 point apart, or 1.4

what is the first three elements of an arithmetic sequence are -13 , -8 and -3, which elements is 182?

Answers

An arithmetic sequence is a sequence where the difference d between successive terms is constant. The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d.

PLEASE HELP ME!
Find the x- and y-intercepts of the graph of -x+2y=6. State each answer as an integer or an improper fraction in simplest form.

Answers

Given the linear equation, -x + 2y = 6, we can set y = 0 to find the x-intercept.

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0), where a = x-intercept.


-x + 2y = 6
-x + 2(0) = 6
- x + 0 = 6
-x = 6

Divide both sides by -1 to isolate x:
-x/-1 = 6/-1

x = -6

Therefore, the x-intercept is (-6, 0), where its x-coordinate, a = -6.

Next, in order to solve for the y-intercept, set x = 0.

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b), where b = y-intercept.

-x + 2y = 6
-(0) + 2y = 6
0 + 2y = 6
2y = 6

Divide both sides by 2 to isolate y:

2y/2 = 6/2

y = 3

Therefore, the y-intercept is (0, 3), where its y-coordinate, b = 3.

How to factor out a polynomial with a 3rd degree.

Answers

Answer:

How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256

Answer:

long division is probably the simplest method of finding out the factors

Step-by-step explanation:

For example,  let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.

a line with slope -2 passes through the point (-2,3). What is the equation of the line?

Answers

y=-2x+4 i believe is the answer

8.
Fit a quadratic function to these three points:

(−2, 8), (0, −4), and (4, 68)

A. y = −2x2 − 2x − 4

B. y = −2x2 + 2x − 4

C. y = 4x2 + 2x − 4

D. y = −4x2 − 2x − 4

Answers

Answer:    y= 4x² +2x -4

C. y = 4x2 + 2x − 4

Step-by-step explanation:  f(x)=4x^2+2x-4

Given three points

P1(-2,8)

P2(0,-4)

P3(4,68)

We need the quadratic equation that passes through all three points.

Solution:

We first assume the final equation to be

f(x)=ax^2+bx+c .............................(0)

Observations:

1. Points are not symmetric, so cannot find vertex visually.

2. Using the point (0,-4) we substitute x=0 into f(x) to get

f(0)=0+0+c=-4, hence c=-4.

3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.

f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)

f(4)=a(4^2)+b(4)-4=68 =>  16a+4b-4=68.............(2)

4. Solve system

2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)

substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2  ..........(4)

5. Put values c=-4, a=4, b=2 into equation (0) to get

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

Check:

f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8

f(0)=0+0-4 = -4

f(4)=4(4^2)+2(4)-4=64+8-4=68

So all consistent, => solution ok.

...............................................................................................................................................

Answer:

y = 4x² + 2x − 4

Step-by-step explanation:

The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.

y = 4x² +2x -4

 There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...

y = 4x² +2x -4 . . . . . as above

...............................................................................................................................................

Help please i need to know this answer

Answers

Answer:

976

SA=2(S1)+2(S2)+S3

S1=14*24/2

S1=168

S2=25*10

S2=250

S3=14*10

S3=140

SA=2(168)+2(250)+140

SA=976 cm

Solve. 3(x-6) - 8x = -2 + 5(2x+1)

Answers

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

Please helpppp I will mark you branliest pleaseee

Answers

Answer:

no

Step-by-step explanation:

the ratios shown in this table are not proportionate. You will also never get (0,0) in this table.


Part A
Triangle ABC is reflected across the
X-axis to form triangle A'B'C'. What are
the coordinates of C after the
reflection? (Draw the image across the
Taxis)
Do
76
A. (-6,4)
B. (3,-2)
C. (4, -6)
D. (6,-4)

Answers

Answer:

D) (6, -4)

Step-by-step explanation:

pt C has coordinates of (6,4)

if you reflect that point across the x-axis the x-value remains the same and the y-value continues to be 4 units from the x-axis, but below it instead of above it

1.8.3 practice - functions

11. Find f(2) and f(a+h) when f(x) = 3x^2 + 2x + 4.​

Answers

The answer is f(2) = 20

the equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k

Answers

Step-by-step explanation:

What do you mean "no real roots" ?

if I understand correctly we have

2x² + 5kx + k = 0

the solutions for such a quadratic equating are

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 2

b = 5k

c = k

so, we get

x = (-5k ± sqrt(25k² - 8k))/4

why would that have no real solutions ?

e.g. k = 2

x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4

since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.

I don't understand what your need here.

What’s the slope of 10,6 and 4, 1.2

Answers

let's firstly change the 1.2 to a fraction

[tex]1.\underline{2}\implies \cfrac{12}{1\underline{0}}\implies \cfrac{6}{5} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{\frac{6}{5}}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{6}{5}}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{10}}}\implies \cfrac{~~ \frac{6-30}{5}~~}{-6}\implies \cfrac{~~ \frac{-24}{5}~~}{-6}\implies \cfrac{~~ -\frac{24}{5}~~}{-\frac{6}{1}}[/tex]

[tex]-\cfrac{\stackrel{4}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{5}\cdot -\cfrac{1}{\underset{1}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{4}{5}}[/tex]

using the distributive property, rewrite the expression (-2x - 8) (-6)
please help and explain how to do it

Answers

Answer:

2x8=16-6=10

Step-by-step explanation:

10 is the answer

Please help with this thanks

Answers

Answer:

1. 7

2. 5

3. 6

4. Start at the number 34. count back 1 at a time 28 times. then you will get your answer to 34-28 which is 6.

Step-by-step explanation:

have a great day! feel free to mark as brainliest. :)

Evan and Brayden want to know if they have more X Box games than Reid and Bryce do
combined. Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of
boys has more? How much more do they have?

Answers

Answer:

Step-by-step explanation:

Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of boys has more? How much more do they have?

Reid and Rryce have more. If you add 43 and 42 you get 85 and when you add 76 and 23 you get 99. So now subtract 99 and 23 which is 76.

Other Questions
What did the Navigation Acts ensure for Britain?A. They guaranteed land rights in the colonies for British citizens.B. They guaranteed Britain a monopoly of fishing in the colonies.C. They guaranteed Britain a monopoly of colonial goods.D. They guaranteed British companies the right to free labor from the colonists. What are the zeros of f(x) = (x - 2)(x + 7)? Select all that apply.x= 7O x=20x= -2Ox--7 IF a man with blood type A, one one of whose parents had blood type O, marries a woman with blood type AB, what are the putative genotypes of the offspring? whats 1+0 n3rje'hefruhhhhhhhhhhhhhhhhhhhhhhhhtrrrrrrrrrrrrr 5. Select the answer for both questions determine the given slope and y-intercept and the given linear function. x -1,0,1,2F(x) 1,3,5,7 According to the force theory, government developed from which of the following? Why is labia majora called as the "outer lip"? como estas in english In this excerpt from "A Modest Proposal" by Johnathan Swift, what does the author list?I can think of no one objection, that will possibly be raised against this proposal, unless it should be urged, that the number of people will be thereby much lessened in the kingdom. This I freely own, and 'twas indeed one principal design in offering it to the world. I desire the reader will observe, that I calculate my remedy for this one individual Kingdom of Ireland, and for no other that ever was, is, or, I think, ever can be upon Earth. Therefore let no man talk to me of other expedients: Of taxing our absentees at five shillings a pound: Of using neither cloaths, nor houshold furniture, except what is of our own growth and manufacture: Of utterly rejecting the materials and instruments that promote foreign luxury: Of curing the expensiveness of pride, vanity, idleness, and gaming in our women: Of introducing a vein of parsimony, prudence and temperance: Of learning to love our country, wherein we differ even from Laplanders, and the inhabitants of Topinamboo: Of quitting our animosities and factions, nor acting any longer like the Jews, who were murdering one another at the very moment their city was taken: Of being a little cautious not to sell our country and consciences for nothing: Of teaching landlords to have at least one degree of mercy towards their tenants. Lastly, of putting a spirit of honesty, industry, and skill into our shop-keepers, who, if a resolution could now be taken to buy only our native goods, would immediately unite to cheat and exact upon us in the price, the measure, and the goodness, nor could ever yet be brought to make one fair proposal of just dealing, though often and earnestly invited to it.A. reforms that had failed to improve Ireland's situationB. the unrealistic measures discussed by Irish government officialsC. viable measures that could improve Ireland's situationD. measures that would help unify the populace of Ireland What is the slope of the function?O-6O 4O 4O 6 A 3-pack of light bulbs costs $3.27. What is the unit price Kenji manages a company that collects fresh produce from farmers and distributes it to restaurants. His business is struggling, so he considers mixing some of the older or riper items into the boxes of newer produce. This will allow him to meet cost targets and keep the business going. Kenji is faced with an ethical dilemma.a. True b. False Hello, is there anyone here a pharmacy technician? a. 7 + 3 x 2 + 4 = 257+ 3x2+4 =25 (w^2/x3)10z when w=9, x = 2.7, and z=2/5 A pair of shoes is originally sold for $85. Currently, there is a 15% off sale. How much would the pair of shoes cost after the discount? Group of answer choices A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidenceinterval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. What is linear algebra. What is a disorder A. a medical condition that makes you feel dizzy B. When the functions of the body do not work normally