If p(x) is a quadratic function and p(-1) = p(7) = 2,
which of the following could be the coordinates of
the vertex of the parabola formed when y = p(x) is
graphed in the xy-plane?
PLEASE EXPLAIN- I really don’t know:,)

(0,8)
(4,3)
(6,7)
(3,9)

Answers

Answer 1

Answer:

3,9

Step-by-step explanation:

hint: quadratic function

the form can be x² or x²+b or x²+bx+c

when p(-1)= 2 it means if we take x-axis = -1 the result (y-axis) will be 2. Same thing happen if we take x = 7

the vertex will always in the middle. So the middle of x = -1 and x = 7 is 3

-1, 0, 1, 2, 3, 4, 5, 6, 7

the vertex will occured when x = 3

the only answer with x = 3 is the fourth one (3,9)


Related Questions

Find the volume of the prism. Round to the nearest tenth if necessary

Answers

Answer:

V = 204.7 cm³

Step-by-step explanation:

Pythagoras

h = √(6² - 3.5²)

= √(36 - 12.25)

= √23.75

= 4.87

≅ 4.9

A = Ab×H

= b×h/2 × H

= 7cm×4.9cm/2×12cm

= 204.7 cm³

In the figure, if is the angle bisector of ∠SOT, find m∠QOT. answers : A) 46° B) 48° C) 38° D) 42°

Answers

Answer:

B

Step-by-step explanation:

Since QO is the bisector, that means that m∠SOQ = m∠QOT so we can write:

10x + 8 = 14x - 8

-4x + 8 = -8

-4x = -16

x = 4 which means that m∠QOT = 14x - 8 = 14(4) - 8 = 48°.

Evaluate [(40+5)-3^2]+9x2

Answers

i’m pretty sure it’s 54; i’m so sorry if it’s wrong

Answer:

54

Step-by-step explanation:

pemdas boo

Multiple chickens and rabbits are in a cage. There are 20 more chickens than rabbits and together, there are 256 legs in all. How many rabbits are there? Please explain

Answers

Answer:

c = −108 and r = 118

Step-by-step explanation:

Since we know that chickens have  2  legs and rabbits have  4  legs, we can set up a system of equations to solve the problem.

Let  c  be the number of chickens and  r  be the number of rabbits.

for legs, we can write the equation out in word form as:

(number of legs per chicken)(number of chickens) + (number of legs per rabbit)(number of rabbits) = (total number of rabbits)

In algebraic form, this equation would look like this:

2 c  +  4 r  =  256

20+r +r = 256

Now we can use elimination (or substitution) to solve for c and r:

The equation can be reduced by dividing both sides by 2:

c  +  2 r  =  128

Solve for r.

20+r +r = 256

2r = 236

2r/2 = 236/2

r = 118

Substitute and solve for c.

c + 2(118) = 128

c + 236 = 128

c = -108

Which term best describes the set of all points in a plane for which the sum
of the distances to two fixed points equals a certain constant?
A. Ellipse
B. Parabola
C. Circle
D. Hyperbola

Answers

Answer:ellipse

Step-by-step explanation:

The term which describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is Ellipse.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Conic sections are the two dimensional curves which are obtained by the intersection of the cone with the plane.

The four conic sections are ellipse, parabola, hyperbola and circle.

A circle has all the points equidistant from the center.

Ellipse is a one such plane where the curve includes the set of points for which the sum of the distances to two fixed points equals a certain constant which is called the focus.

Hence the correct option is ellipse.

Learn more about Conic Sections here :

https://brainly.com/question/29295448

#SPJ7

GIVING BRAINLIEST TO THE CORRECT ANSWER!!
Pls answer ASAP .

Answers

Answer:

1/20!

Step-by-step explanation:

This is a probability question.

There are 5 types of pasta and there are 4 types of flavors.

So the probability of getting bow tie is 1/5 and getting cheese sauce is 1/4

To get both, you need to multiply the types of pasta and flavor

1/20

A charter bus service charges a flat fee of $175, plus $2.50 per mile (one-way distance) for a bus. If the band paid exactly $1875 for three buses, how far did the band travel?

Answers

Answer:

1875-(175*3)=1350

1350/(2.5*3)=180

The Band Travelled 180 Miles

Step-by-step explanation:

Take the flat fee and multiply for the 3 buses.

Then (based on the info given) take the cost of the miles per hour and multiply by 3

Take that number and divide 1350 by the cost per miles to determine the miles the band traveled

answer pls!! thank u

Answers

Answer: See below

Step-by-step explanation:

A linear line is a straight line. It can be going up, down, vertical, or horizontal. As long as it's a straight line, then it is a linear equation. Graph 1 and 5 are linear.

A quadratic graph is a parabola. It is in the shape of a "U". The "U" can be doing up or down. It can also be more than a parabola. Any x to th epower of a number is also a quadratic graph. Graph 2 and 4 are quadratic graphs.

An exponential graph is a graph that is a number to the power of x. These graphs are also continuous. They go towards infinity. Graph 3 and 6 are exponential.

In a science experiment, the temperature of a sample increased 2/10 during the first hour. At the end of the second hour, the temperature increased another 6/10. What was the total temperature increase for the two hours? Write your answer in simplest form.

Answers

Answer:

idk

Step-by-step explanation:

sorry for no help

WILL GIVE BRAINLIST AND THANKS AND 5 STARTS IF CORRECT WHAT IS X QUESTION IS ON SCREENSHOT

Answers

Answer:

1/4

Step-by-step explanation:

x + 1/2 = 3/4

Subtract 1/2 from both sides.

x = 1/4

The product of 67 and the numbers of weeks

Answers

Answer: the answer to that is 67n

Step-by-step explanation:

Answer: 641.19

Step-by-step explanation: So, I'm a little confused on the question... but I think I know what you're talking about. There are 7 days in a week...

67 ÷ 7 = 9.57

67 x 9.57 = 641.19

The product of 67 and the number of weeks is 641.19...

Please let me know if answered the question correctly!

a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-5t^2 what’s the greatest height the rocket reached? after how many seconds does the rocket reach its height? how far above the cliff edge is the rocket after 5 seconds? when is the rocket 40 meters above the cliff edge? where is the rocket after 7 seconds?

Answers

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Answers

Answer:

There is 20 dollars and the cost is 1.29. You need to have more money than the cost

To see if he can buy Y many songs

20 > 1.29 x Y

If you want how many songs

20/1.29=amount of songs

20/1.29 = 15.5

You round down because he cannot afford the full 16th song but can afford the 15th song fully so he can buy 15 songs

Hope this helps. If you have any questions you can ask

Step-by-step explanation:

Answer:

Sample response: If x represents the number of downloads, you can write the inequality 1.29x ≤ 20. Solving the inequality, you find that x is less than or equal to about 15.5. Since he can’t download part of a song, Joseph can download 15 or fewer songs.

Step-by-step explanation:

sample response for edg 2021

The Jamison family kept a log of the distance they traveled during a trip, as
represented by the graph below.
(10,390)
(8.350)
Distance Traveled (miles)
(6.230)
(4.180)
(2,110)
(1.40)
Elapsed Time (hours)
During which interval was their average speed the greatest?
A. the first hour to the second hour
B. the second hour to the fourth hour
C. the sixth hour to the eighth hour
ОО
D. the eighth hour to the tenth hour


I’m not sure if it’s C could someone help

Answers

Answer:

swer:

Step-by-step explanation:

Here is the breakdown of the distance traveled each hour.

Hour 1: 40

Hour 2: 50

Hour 4: 70

Hour 6: 50

Hour 8: 120

Hour 10: 40

Seeing this, you can clearly see the most traveled was between the sixth and eighth hour (3).

Hope this helps!

Step-by-step explanation:

Which of the following equations describes the graph?
y = -x2 - 2x + 1
y = x2 + 2x + 1
y = x2 – 2x + 1
y = x2 – X-1

Answers

Answer:

Which cone has a volume of 24 7 cm?

-

1

-

-

3.5 cm!

4.5 cm

1

6.5 cm

B = 25.4 cm

1

7/5 cmi

1

8 cm

3 cm

B = 42

Step-by-step explanation:

If 12 to 99 power - 12 to 97th power

Answers

Answer:

The question is a little confusing but I am going to assume that you want 12 to the 97th power and that is it.

Step-by-step explanation:

. 4.792707e+104 is the answer. I just put it in the calculator. But what you do us 12x12x12x12 and so on 97 times. Hope this helps!! Have a good day:-)

Answer:

Step-by-step explanation:

12⁹⁹ - 12⁹⁷ = 12⁹⁷⁺² - 12⁹⁷

                = 12⁹⁷*12² - 12⁹⁷

               = 12⁹⁷* [ 12² - 1]

               = 12⁹⁷ * [ 144 - 1]

               = 12⁹⁷ * 143

i only need number 4 and number 8

Answers

Answer:

  4.  (2√10 +2√17) units

  8.  25/2 square units

Step-by-step explanation:

4.  The length of JK is given by the distance formula ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((3-2)^2 +(6-3)^2) = √(1+9) = √10

The length of KL is given by the same formula:

  d = √(4^2 +1^2) = √17

The perimeter is twice the sum of these lengths:

  P = 2(JK +KL)

  P = 2√10 +2√17

__

8. The area can be computed from coordinates* using the formula ...

  A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|

  A = (1/2)|3(4 -0) +7(0 -7) +4(7 -4)| = (1/2)|12 -49 +12|

  A = 25/2 = 12.5 . . . . square units

_____

* One way to look at the problem is as a set of triangles and a trapezoid. The x-axis is the base of the right triangles with line PQ and PR as hypotenuses. The trapezoid is a right trapezoid with parallel bases extending from the x-axis to points Q and R.

The left triangle area is 1/2(1)(7) = 7/2; the right triangle area is 1/2(3)(4) = 6. The area of the trapezoid is 1/2(4+7)(4) = 22. The area of the triangle of interest is the difference ...

  area PQR = trapezoid area - (sum of triangle areas) = 22 -19/2 = 25/2

__

If point P were not on the x-axis, then the figure could be resolved into 3 right trapezoids in similar fashion. If you were to use points (x1, y1), (x2, y2), and (x3, y3) instead of numerical values, you could obtain the formula shown above.

Classify the following triangle. Check all that apply

Answers

Answer:

F. right angle is correct

Answer: The correct choices are D and F.

Step-by-step explanation:

There are two classifications of triangles shown.

Any triangle can only be two.

The first classification depends on the triangles' angles:

Acute triangles are triangles with three angles under 90 degrees.Right triangles are triangles with a right angle. Obtuse triangles are triangles with an obtuse angle.

The second classification depends on the triangles' sides:

Equilateral triangles are triangles with three equal side lengths.Isosceles triangles are triangles with two equal side lengths. Scalene triangles are triangles with no equal side lengths.

The triangle given has angles of 36, 54, and 90 degrees. 90 degrees is a right angle, so the triangle is a right triangle.

The triangle given has side lengths of 7, 5.1, and 8.66. No side lengths are equal, so the triangle is a scalene triangle.

The correct choices are D and F.

4 yd 2 ft = _____ ft. Explain how you knew how to solve the problem. *
2

Answers

Hi there!

4yds and 2ft are equaled to 14ft.

Each yard consists of 3 feet. If there are 4 then you multiply 4 times 3, resulting in 12. Then you add 2 more and you get 14.

Hope this helps !

Answer:

14 ft or 24 ft

Step-by-step explanation:

It is a unit of measurement conversion.

We have Yards (its abbreviation is yd) and Foot (where the standard symbol is ft)

Once there a 3 feet in a yard,

[tex]4 \text{ yd } 2 \text{ ft } = 12 + 2 \text{ ft } = 14 \text{ ft }[/tex]

State that I'm considering that this is a sum. Maybe it is a multiplication, so

[tex]12 \cdot2=24\text{ ft}[/tex]

I need help on this.​

Answers

Answer:

60 cubic centimeters

Step-by-step explanation:

There are 4 rows and 5 columns and it has a doubly thiccness

Volume is length x width x height, so when you do that here,

5 x 4  x 2 = 60 cubic centimeters

PLEASEEE HELP !! in two the three sentences, explain how you would find the line of symmetry for the parabola whose equation is
y=x2+4x+16

Answers

Answer:

Axis of symmetry line  is parallel to y- axis

Equation of the parabola ( x - ( -2 ))² =  (y - 12 )  

Step-by-step explanation:

Explanation:-

Given equation is y = x²+4 x+16

                            y =  x²+2 (2 ) x + (2)² - (2)² + 16

                           y   = ( x + 2 )² + 12

                         ( x + 2 )² = y - 12

                        ( x - ( -2 ))² =  (y - 12 )  

                         ( x- h)² = 4 a ( y - k)

            Center (h ,k) = ( -2 , 12)

             Here   4 a  = 1

                           a = 1/4

Focus  S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)

Axis of symmetry line  is parallel to y- axis

                           

someone plz help!!! calculus, I have a picture below

Answers

Answer:

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

Step-by-step explanation:

The following expression:

[tex] 3y^{-3/5} [/tex]

can be simplified as follows:

First, rewrite the negative exponent,

[tex] 3\frac{1}{y^{3/5}} [/tex]

[tex] \frac{3}{y^{3/5}} [/tex]

And then, rewrite the fraction in the exponent,

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

Which function is the verse of f(x)=2x+3?

Answers

Answer:

Option B is correct

Step-by-step explanation:

A function has form of f(x) = 2x + 3, or y = 2x + 3

To find the inverse of f(x), we are going to represent x in form of y.

To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.

Now, let's do it.

y = 2x + 3

We firstly send 3 to the right, change the sign of 3 from + to -, we have:

y - 3 = 2x

We then rearrange both sides to get a standard form:

2x = y - 3

We now divide both sides by 2 to get the expression of x:

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

We simplify both sides of expression to obtain final result:

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

=> Inverse of f(x) is x = (1/2)y - 3/2

=> Option B is correct

What is the measure of angle x in degrees?
50
100
200
180

Answers

Answer: a hunnid

Step-by-step explanation:

50 x 2= a hunnid

Answer:

100

Step-by-step explanation:

50x2=100 because it is 360 degrees

Javier used chalk to draw some shapes on the playground.

All of the shapes that Javier drew are parallelograms.
Some, but not all, of the shapes that Javier drew are rectangles.

Which statement must be true?

A All of Javier's shapes have 4​ equal angles.

B Some, but not all, of Javier's shapes have perpendicular sides.

C Some, but not all, of Javier's shapes have 2​ pairs of parallel sides.

D All of Javier's shapes have at least one angle greater than 90​ degrees.

Answers

Step-by-step explanation:

option D is answer coz parallelograms and rectangles have the angle greater than 90°……

Evaluate the expression 6log6 1.5

Answers

Answer:

10.7332506947

Step-by-step explanation:

hope it helps !!

If I am wrong please let me know

The legs of a right triangle measure 8 feet and 15 feet. What is the length of the hypotenuse?

Answers

Answer:

17

Step-by-step explanation:

Use the Pythogream theorm where c is the hypotenuse.

Answer:

17

Step-by-step explanation:

Using the Pythagory and Theroem

help me out please once again

Answers

Answer:

C

Step-by-step explanation:

Use the pythagorean theorom

a^2 + b^2 = C^2

convert so it goes to the problem

c^2 - a^2 =b^2

10^2 - 5^ = 100 - 25 = 75

srt. 75 = 5 sqrt.3

Answer:

The hypotenuse = leg 1 + leg 2

Hypotenuse = 10

Leg 1 = 5

Leg 2 = ?

10^2 - 5^2 = x

100 - 25 = 75

Answer = sqrt of 75

Answer = C5 sqrt. 3

What is the v-value of the vertex?
f(x) = (x + 2)^2 - 1
-value of the vertex:​

Answers

Answer:

Okay, I don't know what a V-value is, but I can get the vertex coordinates...

Step-by-step explanation:

So, this is the basic formula for parabolas:

[tex]f(x)=a(x-h)^{2}+k[/tex]

Now, your equation is this form, and the vertex of parabola's in this context is:

[tex](h,k)[/tex]

So, therefore:

[tex](-2,-1)[/tex] <------ANSWER

Hopefully this is a good explanation!

Stay Safe!

help plzzzzzzzzzzzz​

Answers

Answer:

a,b,d

Step-by-step explanation:

To find the perfect square take the number and square root it on ur calculator and if it’s a whole number it’s a perfect square and same for cube
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