PLEASE HELP
Use the function f(x) to answer the questions.

f(x) = −16x2 + 22x + 3

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

Answer 1

First graph

y=-16x^2+22x+3(Graph attached)

#A

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{484+192}}{-32}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{676}}{-32}]/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm 26}{-32}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-1}{8}\:or\:\dfrac{3}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=-0.125\:or\:1.5[/tex]

#B

Vertex will be maximum

Coordinates are

(0.688,10.563)

#C

We have to find x intercepts (Part A)Then vertex(Part B)Then we can graph it

PLEASE HELPUse The Function F(x) To Answer The Questions.f(x) = 16x2 + 22x + 3Part A: What Are The X-intercepts
Answer 2

[tex]\sf f(x) = -16x^2 + 22x + 3[/tex]

Part A

To find x-intercepts, the f(x) will be 0

[tex]\sf \hookrightarrow -16x^2 + 22x + 3=0[/tex]

[tex]\sf \hookrightarrow -16x^2 + 24x -2x+ 3=0[/tex]

[tex]\sf \hookrightarrow -8x(2x-3)-1(2x- 3)=0[/tex]

[tex]\sf \hookrightarrow (-8x-1)(2x+ 3)=0[/tex]

[tex]\sf \hookrightarrow -8x-1=0 , \ 2x+ 3=0[/tex]

[tex]\sf \hookrightarrow x=-0.125 , \ x=1.5[/tex]

find y-intercept:

to find y-intercept, x will be 0

[tex]\sf f(x) = -16(0)^2 + 22(0) + 3[/tex]

[tex]\sf f(x) = 3[/tex]

Part B

To find vertex use the formula: x = -b/2(a)

[tex]\sf \rightarrow x = \dfrac{-22}{2(-16)}[/tex]

[tex]\sf \rightarrow x = 0.6875[/tex]

find y coordinates:

[tex]\sf f(x) = -16(0.6875)^2 + 22(0.6875) + 3[/tex]

[tex]\sf f(x) =10.5625[/tex]

coordinates of vertex: (0.6875, 10.5625)

[tex]\bold{\mathrm{If}\:a < 0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}}[/tex][tex]\bold{\mathrm{If}\:a > 0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}}[/tex]  

As its positive and greater than 0, the vertex will be Maximum.

part C

To draw the graph, simplify point the vertex on the graph. Then point both the x-intercepts. Also the y-intercept and draw the curve with free hand.

Graph attached:

PLEASE HELPUse The Function F(x) To Answer The Questions.f(x) = 16x2 + 22x + 3Part A: What Are The X-intercepts

Related Questions

How is the graph of log (x + 3) translated from the graph of log x?

shifted down 3 units

shifted left 3 units

shifted up 3 units

shifted right 3 units

Answers

shifted left 3 units

Graphed Below:

red line: log (x + 3)blue line:  log (x)

See the picture below and answer for 50 points and brainliest

Answers

Answer:

Non-linear equations:

[tex]y=x^2 +2x-3[/tex]

[tex]3y=2^x[/tex]

Step-by-step explanation:

Linear equation: y = mx + b

Therefore, a linear equation has 2 variables that have no exponents.

So the non-linear equations are:

[tex]y=x^2 +2x-3[/tex]  (this is a quadratic equation - polynomial with degree 2)

[tex]3y=2^x[/tex] (this is an exponential equation)

CHOICES -> TRUE OR FALSE


Answers

Answer:

1.True

2.false

3.True

4.True

5.false

6.false

7.false

8.True

9.True

10.false

Step-by-step explanation:

10,000cm^2=1m^2

An oblique cylinder with a base of radius 2 units is shown. The top
of the cylinder can be obtained by translating the base by the directed line segment
AB which has length 16 units. The segment AB forms a 30° angle with the plane of
the base. What is the volume of the cylinder?

Answers

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

How to determine the volume of the cylinder?

The given parameters are:

AB = 16 units

Radius (r) = 2 units

[tex]\theta = 30^o[/tex]

Start  by calculating the height (h) using:

[tex]h = 16 * \cos(30^o)[/tex]

This gives

[tex]h = 13.86[/tex]

The volume of the cylinder is then calculated as:

[tex]V = \pi r^2 h[/tex]

This gives

[tex]V = 3.142 * 2^2 * 13.86[/tex]

[tex]V = 174.19248[/tex]

Approximate

[tex]V = 174.19[/tex]

Hence, the volume of the oblique cylinder is 174.19 cubic units

Read more about volumes at:

https://brainly.com/question/1972490

given that three points 15 raise to power 6 is equal to 3 raise to power 6 x b correct to four decimal places​

Answers

Answer:

A. Directions: Encircle the letter of the correct answers

Step-by-step explanation:

1.the I in resign sounds like the I in.

A. hit B. High

HELP ME ON TANGENTS, ARCS AND CHORDS! 1

Answers

The answer is 0 because 0 to the 4 is 0

What is the area, in square inches, of the isosceles trapezoid below?

Answers

the area of the trapezoid is 53.56

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.

Answers

Answer:

volume = 33.5 in³

Step-by-step explanation:

Formula:

[tex]\sf volume \ of \ a \ cone=\dfrac13\pi r^2h[/tex]

Given:

r = 2 inh = 8 inπ = 3.14

Substituting the given values into the formula:

[tex]\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8[/tex]

                  [tex]=\dfrac13 \times 3.14 \times 4 \times 8[/tex]

                  [tex]\sf =33.49333333...[/tex]

                  [tex]\sf =33.5 \ in^3 \ (nearest \ tenth)[/tex]

How to solve [tex]\frac{dy}{dx} =2|x|[/tex] ?

Answers

dy= 2|x|dx

integral dy= integral 2|x|dx

y= X² + c

Caden deposited $300 into a checking account. Each week he withdraws $12 from his account.
a) Write an equation to describe this sequence.
b) How many weeks can Caden go before he runs out of money?

Answers

Answer:

B i had this text and made a 100

Step-by-step explanation:

b

I need help with this question?

Answers

Answer:

38.5 cm²

Find area of the full rectangle:

Length * Width

6 * 7

42 cm²

Find area of the missing triangle

1/2 * base * height

1/2 * 7 * 1

3.5 cm²

Area of the figure:

42 - 3.5

38.5 cm²

This week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice for the same number of hours. What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem?

A. 3 1/4 + 2 1/2 + 1
B. (3 1/4 + 2 1/2) + (3 1/4 + 2 1/2)
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1


Thank You so much!!!!

Answers

Answer:

C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1)

Step-by-step explanation:

Since, this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.

And, next week you practice for the same number of hours.

Same number = (3 1/4 + 2 1/2 + 1)

Thus, [C] (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1) is correct.

~Lenvy~

Answer:

[C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

Step-by-step explanation:

Given:

this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.

Next week you practice for the same number of hours.

To Find:

What is the total number of hours you will have practiced over these six days?

Which expression correctly shows how to solve this problem

Solve:

Knowing that you practice for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice the same. Thus, we can know that [C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex] is the correct answer.

Solution if needed.

[tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

= [tex]\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+2\frac{1}{2}+1\right)[/tex]

[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]=\frac{27}{4}+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]

[tex]=\frac{27}{4}+\frac{27}{4}[/tex]

[tex]=\frac{27}{2}[/tex]

[tex]=13\frac{1}{2}[/tex]

Solution ⇒ [tex]=13\frac{1}{2}[/tex]

[RevyBreeze]

Whcih choice best describes the group this shape belongs in, based on the kinds of sides and angles it has? Angela chose A as the correct answer. How did she get that answer?

Answers

The shape in the figure has 6 sides

The choice that describes the group the shape belongs to is (a) parallel sides, acute angles

How to determine the group of the shape?

From the figure, we have the following highlights

The shape has 6 sidesThe direct opposite sides are equalThe direct opposite sides are parallelThe measure of angles between adjacent sides are less than 90 degrees i.e. acute angles

The above highlight mean that:

The shape belongs to parallel sides, acute angles group of shapes

Hence, Angela's conclusion is correct

Read more about polygons at:

https://brainly.com/question/1592456

Find the equation of the line that passes through points a and B. A(1 ,7) B(-3,-1)

Answers

Answer:

well i wrote it in paper nothing to explain it's ez

Graph the circle (x+5)^2+(y+2)^2=4

Answers

(x+5)² + (y+2)² = 4

(x - x0)² + (y - y0)² = r²

with circle center point (x0 ; y0) and r for circle radius

so you have to place the point (- 5 ; - 2) and graph the circle with r = 2

What the line measures

Answers

What is this question referring to

2. Find the length of AD if the length of AB is 14 units, the length of BC is 5 units, and the length of CD is 8 units,​

Answers

Answer: sqrt(285)

Step-by-step explanation:

A thief steals an atm card and must randomly guess the correct five-digit pin code from a 8​-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first​ try?

Answers

Answer:

The probability of a correct guess on the first try is 0.024%.

Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:

8 x 8 x 8 x 8 = X

8 ^ 4 = X

4096 = X

1/4096 = X

0.000244140625 = X

0.000244140625 x 100 = 0.024%

Therefore, the probability of a correct guess on the first try is 0.024%

Step-by-step explanation:

I need help with this​

Answers

Answer:

The correct answer is B: 3 cubic feet.

Step-by-step explanation:

If you want to find the volume of a rectangular prism, you need to know the length, width, and height. The first rectangular prism is a cube with a length of 3 feet, so the volume of the figure would be [tex]3^{3}=27 ft^{3}[/tex]. The second rectangular prism has a length of 3 feet, a width of 2 feet, and a height of 4 feet, so the volume of the prism would be 3 × 2 × 4 = [tex]24 ft^{3}[/tex]. Now that you know the 2 volumes, you need to subtract the volumes in order to find the difference, which is 27 - 24 = 3 [tex]ft^{3}[/tex].

A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03 inches per second and that r=48 inches at time t=0. Determine a function that models the volume V of the balloon at time t and find the volume at t=300 seconds.

Answers

Considering a linear function for the radius, we have that:

The volume of the sphere is modeled by [tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex].After 300 seconds, it is of 775,735 in³.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

What is the volume of a sphere?

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:

[tex]r(t) = 0.03t + 48[/tex]

Thus, the volume of the sphere is given by:

[tex]V = \frac{4\pi r(t)^3}{3}[/tex]

[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]

After 300 seconds, the volume in cubic inches is given by:

[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

Help me pls answer 1&2&3 pls brainless

Answers

Answer:

3,1,5

Step-by-step explanation:

May someone please help me with this?

Answers

Answer:

Step-by-step explanation:

First, calculate the angle of FDE (assume it as α) by:

[tex]EF=\frac{\alpha}{360}\times(2\pi)(DE) \rightarrow 2\pi = \frac{\alpha}{360}(2\pi)(6)[/tex]

[tex]\alpha=60^{0}[/tex]

So, use this angle to calculate the area of FDE (unshaded region):

[tex]A_{US}=\frac{\alpha}{360}\times(\pi)(DE)^{2}=\frac{60}{360}(\pi)(6^{2})=6\pi[/tex]

So, the shaded region can be determined by:

[tex]A_{S}=A-A_{US}=\pi(DE)^{2}-6\pi=36\pi-6\pi=30\pi=\frac{60}{2}\pi[/tex]

SOMEONE PLSSS HELP ME FAST
WILL MARK BRAINLIEST

Answers

Answer:

D. 45

Step-by-step explanation:

To find out how many games will be played with 10 people, we need to first find the pattern of the given table. To start out, we can see that for the numbers of players added, it adds one each time it goes up one number. And, we can also see that starting at 1 games played, it adds 2 for the next and gets 3 games. Then it adds 3 to get 6 games. So, we can see that for every added person added, it starts at 1 and adds 2, then adds, 3, 4, 5, 6, etc... Knowing this, we can figure out how many games will be played with 10 people.

2 people gets 1 games

+1                    +2

3 people get 3 games

+1                    +3

4 people get 6 games

So, now we can simply skip to 6 and seven players becuase we know that the pattern holds true to itself.

6 people get 15 games

+1                   +6

7 people get 21 games

+1                   +7

8 people get 28 games

+1                    +8

9 people get 36 games

+1                   +9

10 people get 45 games

Help help help help help

Answers

Answer:

49.12

Step-by-step explanation:

Area of triangle =1/2 x b x h

=24

semi circle =(pie rxr)divuded by 2

=25.12

so, 25.12 +24=49.12

Can someone please help me

Answers

Answer:

BCDE

Step-by-step explanation:

Please help as soon as possible

Answers

Answer:

possibly (9, 9) (9, 5) (5, 9)

Kaya rented a limousinefor prom. There was a one-time charge of $100 plus an hourly rate of $50 per hour. Her
total cost for the night was $300. How many hours did she rent the limo?

Answer using 2 step equations and X as variable

Answers

Let X be number of hours rented and C be total cost.
C = 50X + 100
Since C = 300,
50X + 100 = 300
50X = 200
X = 4 hours
300=100+50x
x=4
She rented the limo for 4 hours($200) with the one time charge of $100

Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number of bees in week 12?​

Answers

The exponential equation that gives the number of bees in week 12 is of:

[tex]y = 4(3)^{11} = 708588[/tex]

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

[tex]y = 4(3)^{x - 1}[/tex]

Hence, after 12 weeks, the expression is:

[tex]y = 4(3)^{11} = 708588[/tex]

More can be learned about exponential equations at https://brainly.com/question/25537936

Answer:

4 • 3^11

Step-by-step explanation:

6.
Part I: Suppose a prism has a square base with each side of length 3.75 cm and a height
of 5.65 cm. Use the formula below to find the volume. Show your work and round your
answer to the nearest hundredth. (5 points)

Answers

Answer:

79.45401²

Step-by-step explanation:

[tex]1)\ V=B\ Sh[/tex]

[tex]\therefore\ V=3.15\times 3.75\times 5.65[/tex]

[tex]=79.403125[/tex]

[tex]\approx 79,45\ cm^3[/tex]

I hope this helps you

:)

Rounded to the nearest hundredth, the volume of the prism is approximately 79.50 cm^3.

To find the volume of a prism, we use the formula:

Volume = Base Area * Height

In this case, the prism has a square base with each side of length 3.75 cm and a height of 5.65 cm. The formula for the area of a square is:

Base Area = Side Length^2

So, the base area can be calculated as:

Base Area = 3.75 cm * 3.75 cm = 14.0625 cm^2

Now, we can find the volume using the formula:

Volume = Base Area * Height

Volume = 14.0625 cm^2 * 5.65 cm

Volume ≈ 79.5025 cm^3

To know more about volume:

https://brainly.com/question/32006008

#SPJ2

For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1, 860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,598.90. You will need to use the labor statistics document to answer the following questions.
A. What is your weekly median income if you are a female with an advanced degree?
B. What is your yearly median income if you are a male with an associate's degree?
C. What is your yearly median income if you are a female with an associate's degree?

Answers

Based on the given statistics, the weekly median income for a female with an advanced degree would be $901.

The yearly median income for a male with an associate degree would be $36,432.

The yearly median income for a female with an associate degree would be $27,744.

What is the weekly median income for a female with an advanced degree?

An advanced degree would be a postgraduate degree like a masters so the weekly median income would be $901.

What is the yearly median income for a male with an associate degree?

This can be found as:

= Weekly median income x 4 weeks in month x 12 months in year

= 759 x 4 x 12

= $36,432

What is the yearly median income for a female with an associate degree?

= Weekly median income x 4 weeks in month x 12 months in year

= 578 x 4 x 12

= $27,744

Find out more on median weekly incomes at https://brainly.com/question/3318597.

Answer:

Answer above is wrong

Step-by-step explanation:

Can't tell you how to get the answers but these are correct after i failed from the person above.

3. 1,323

4. 49,452.00

5. 37,284.00

Other Questions
1. What factors can cause water pollution?2. What may people suffer from when they drink untreated water?3. What should we do to prevent water pollution?4. What negative influences on the environment will be caused by the polluted water?5. What will you do if you see someone throwing plastic bottles into a lake, a river or a beach? What are different social phenomenas are you aware of that used part of a social movement, change, or cause Help picture below problem 15 Which of the binomials below is a factor of this trinomial? x^2 - 9x + 18A. x + 2B. x - 2C. x - 3D. x + 3 Write an equation for the hyperbola that satisfies the given set of conditions.Vertices (20,0) and (-20,0) conjugate axis of length 18 units. Both the brain and the spinal cord are protected byA. The SkullB. a thick, paste like substanceC. The vertebral columnD. a watery fluid can anybody please help me with this math problem? The decimal value of 5/8 Which trig ratio will be helpful in finding the missing side length sin(24) How did Hitler end up gainingcontrol of this territory? What didhe "promise"? write a letter to your friend tell he or her your best teacher in your school full paper Abby is shooting a rocket off the top of a 128 foot tall building at a velocity of 96 feet per second. The equation to represent this is h(t) = -16t? +960 + 128 where h(t) represents the height of the rocket and t is the time after takeoff.What is the maximum height of the rocket?How many seconds does ot take to get to the maximum height?Find the time it takes (in seconds) for the rocket to crash to the ground. Which interpretation of The Tempest focuses on tone? C. Noble characters dress in suits, while other characters dress incasual clothes. A. The setting is an urban city filled with crime and lawlessness. B. Miranda is a young, flighty girl with no thoughts of her own. D. The play focuses on Ariel's desire for freedom. Two lines, A and B, are represented by equations given below: Line A: y = x 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (1 point) a (3, 5), because the point does not lie on any axis b (3, 5), because the point satisfies both equations c (4, 8), because the point satisfies one of the equations d (4, 8), because the point lies between the two axes Two equivalent sinusoidal waves travel toward each other on a spring they interfere. What if the waves traveling toward each other aren't sinusoidal but a series of pulses as seen in the picture? What effect does this have on the spring? In "Excerpt from Baby Mammoth Mummy: Frozen in Time!" and "Excerpt from Discovering the Inca Ice Maiden: My Adventures on Ampato," what challenges did the discoverers face? How did these challenges affect their decisions about what to do with the mummies? PLEASE HELP PLEASE I WILL GIVE BRAINLIEST How can we help prevent the spread of infections and illness? Name 5 functions of Bones sophia has 100 cookies. she wants to give 15 each among 5 people. can she give 15 cookies among 5 people with her 100 cookies? explain why or why not.