Finding the Vertex What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)? (,) ​

Answers

Answer 1

Answer:

          vertex = (h, k) = (5, -9)

Step-by-step explanation:

[tex]f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9[/tex]


Related Questions

A soccer team is selling doughnuts to raise money for new uniforms. They are selling the doughnuts for $8 per dozen. They must pay Delightful Donuts $2 per dozen doughnuts and a $20 delivery fee for the doughnuts purchased to sell. Choose the function that represents a Profit Function. Select all that apply.

Answers

Answer:

P(x)=8x-20

P(x)=8x-(2x+20(

Step-by-step explanation:

2.16 x 10 to the 4th power

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Answer:

21.600  :)

Step-by-step explanation:

Marco is discussing how prices have changed with his son, Paul. Paul does not believe him, so they decide to research the price of their favorite food items. Use the information below to determine the percent change in the question below. Round your answers to nearest tenths place.

What is the percent of change in the cost of a hot dog? il mark you brainly

Answers

Answer:

devide them by each other and then when it is deamal form put it in %

:)

Step-by-step explanation:

Brainliest plz

Answer:

Cost of the Pizza is 20%

Cost of the Cheeseburger is 30%

Cost of the Fries is 125%

Step-by-step explanation:

Triangle DEF with vertices D(1, 2), E(3, 4), and F(1,4), is reflected across the y-axis, and then its image is reflected across the line y = x. Which single transformation moves the triangle from its starting position to its final position?​

Answers

Answer:

Reflect over the x-axis

The single transformation of the given triangle will be rotation clockwise 90°.

What is the transformation of graphs?

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.

Graph reflection is the mirror image of a graph across any axis.

For example reflection of y = x about the x-axis like that.

Given vertices has plotted below.

As it is clear that if we rotate by 90° clockwise then we will get reflected across the line y = x.

For more information transformation of the graph,

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Which statement most accurately describes what happens when a bar of chocolate melts? A. A physical change takes place that causes molecules to move slower. B. A physical change takes place that causes molecules to move faster. C. A chemical change takes place that causes molecules to move faster. D. A chemical change takes place that causes molecules to move slower.

Answers

Answer:

(B). A physical change takes place that causes molecules to move faster

Step-by-step explanation:

When a bar of chocolate melts its physical form is changed, there is no difference in its chemical composition as it is still same.

When the chocolate bar was frozen its molecules were held strongly, and they were barely moving, whereas when it melts the molecules are more free to move now.

I need help with the problem ​

Answers

I think it should be angle bisector

what is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)​

Answers

Answer:

y= -5x - 21

Step-by-step explanation:

parallel lines have the same slope, so you know the slope.

you need to use the point slope formula y-y1=m(x-x1)

with this equation, this looks like y - -1 =- 5(x - -4)

double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)

distribute the -5. you should get y + 1 = -5x - 20

subtract 1 to move it from the left side to the right and you get your answer!

y = -5x - 21

anyone know this ? for math , thank you

Answers

Answer: The  y=2

Step-by-step explanation:

Please help me with this is really important here is the picture

Answers

Answer:

constant speed 35

Step-by-step explanation:

at 1 hour its above 35. its a constant speed because its a straight line. is that complete enough for you moderator

the answer is the speed is 35

Find the value of x please

Answers

Equilateral triangles have three angles that add up to 180 making them 60 each divide that by 4 and you have 15
Answer should be 15

Answer:

15

Step-by-step explanation:

60/4= 15 since each angle is 60 degrees

Which value is the best estimate for

94

Answers

Answer:

9.7

Step-by-step explanation:

V95=9.7 is the answer

Identify the slope of the line.

y=x+11

Answers

Answer:

when starting from point 0|0 go 11 points up. then just up to the right

Answer:

m = 1

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).

plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)

Answers

Answer:

2/3

Step-by-step explanation:

3-1/5-2=

2/3

Determine the equation of the line represented in the graph below.

y = 2/3x - 1
y = 3/2x - 1
y = 2/3x + 1
y = 3/2x + 1

Answers

y=2/3x-1

This is the answer because the y intercept is -1, which is what it is on the graph. The slope if 2/3 meaning you rise 2(go up 2 units) and run 3(go right 3 units) which can be seen between the points in the graph.

Answer:

2/3x-1

Step-by-step explanation:

Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities

Answers

We want to imagine where the shading should be, and with that determine which point is a solution for both inequalities. We will see that the solution is the point (7, -8)

Interpreting inequalities:

In this case, the inqualities are:

y <  -x + 1y < (-1/2)*x - 1

You can see that in both cases, y is smaller than the line, thus, for both inequalities, we must shade the part that is below the lines.

With that in mind, the region of solution will be the region that is below both lines at the same time, and that region will be the "triangle" that you can see at the middle below the horizontal axis.

Now that we know the region of solutions, we only need to see which point belongs there, from the given options the only that belongs to that region is the point (7, -8), which means that this point is a solution for both inequalities.

If you want to learn more about inequalities, you can read:

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There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3 packs. Drag an expression to answer each question

Answers

Answer:

6 pencils

18 pencils

Step-by-step explanation:

Given that

36 pencils are in 6 packs

Number of packs = 6

Number of pencils = 36

Number of pencils per pack :

Number of pencils / number of packs :

36 / 6 = 6

Hence, 6 pencils per pack

Number of pencils in 3 packs :

Since 6 pencils are in a pack ;

Then, 3 packs = (3 * 6) = 18 pencils

-8x + 2c = -3, for x

Answers

Answer:

x=3/8+c/4

Step-by-step explanation:

Multiply. Write your answer as a fraction in simplest form.
Three divided by sixteen times six

Answers

1.125 as a decimal. The reason is because I asked a computer

I Got renegade Raider From Fortnite For Free add me and like heart me if you want to learn how to get it

Answers

Answer:

that's fake right?

Step-by-step explanation:

¯\_(ツ)_/¯

A cab company charges $5 per cab ride, plus an additional $1 per mile driven. How long is a cab ride that costs $14?

Answers

Answer:

The answer is 9 miles.

Step-by-step explanation:

14-5=9.

Answer:

9 miles

Step-by-step explanation:

So if you pay $5 for the cab ride then 1$ for every mile driven and you have to pay a total of $14 you go 14-5=9

The two tables below show the amount of tip,y, included on a bill charging x dollars.which compared the slopes of the lines created by the tables?

Answers

Answer:

Need more information

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

I got it right on the test

plz help
Solve the system by Substitution

y=2x+15

7x+2y=−14


A(-6, 3)

B(4, -7)

C(6, -7)

D(-4, 7)

Answers

Answer

D

Step-by-step explanation:

y=2x+15

7=2(-4)+15

7=15-8

7=7

7x+2y=-14

7(-4)+2(7)=-14

-28+14=-14

-14=-14

What quadrant does -495 lie in?

Answers

It would lie between 180 and 220

What is the reflection?And how would I solve it?

Answers

Answer:

To reflect a point, you need to find the exact point of each corner of the figure. The first point could be say, -5, -1. You know that you go 5 points to the left to get to the line so you go another 5 points to the left from the line. So basically find the opposite of each number, so -5, -1 so it becomes 5, 1.

The next point would be -5, -6 so it becomes 5, 6.

-7, -5 turns into 7, 5.

Plot all of the points and it should look like this graph below.

Step-by-step explanation:

Fine the values of x and y

Answers

Answer:

x=5 and y=1

Step-by-step explanation:

If (x+5) is one of the factors of the polynomial x3 + x2 - 32x - 60, find the remaining roots.

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

Step-by-step explanation:

Answer:

x = 5

x = 2

x = -6

Step-by-step explanation:

Use synthetic division to determine whether x – 4 is a factor of:

–2x5 + 6x4 + 10x3 – 6x2 – 9x + 4

For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:

completed division

Since the remainder is zero, then x = 4 is indeed a zero of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4, so:

Yes, x – 4 is a factor of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4

Find all the factors of 15x4 + x3 – 52x2 + 20x + 16 by using synthetic division.

Remember that, if x = a is a zero, then x – a is a factor. So use the Rational Roots Test (and maybe a quick graph) to find a good value to test for a zero (x-intercept). I'll try x = 1:

completed division

This division gives a zero remainder, so x = 1 must be a zero, which means that  x – 1 is a factor. Since I divided a linear factor (namely, x – 1) out of the original polynomial, then my result has to be a cubic: 15x3 + 16x2 – 36x – 16. So I need to find another zero before I can apply the Quadratic Formula. I'll try x = –2:

completed division

Since I got a zero remainder, then x = –2 is a zero, so x + 2 is a factor. Plus, I'm now down to a quadratic, 15x2 – 14x – 8, which happens to factor as:

(3x – 4)(5x + 2)

Then the fully-factored form of the original polynomial is:

15x4 + x3 – 52x2 + 20x + 16

= (x – 1)(x + 2)(3x – 4)(5x + 2)

Given that  x = -3 + sqrt(11)   is a zero of x4 + 6x3 – 7x2 – 30x + 10, fully solve the

equation x4 + 6x3 – 7x2 – 30x + 10 = 0.

Since they have given me one of the zeroes, I'll use synthetic division to divide it out:

completed division

(You will probably want to use scratch paper for the computations required when manipulating the radical root.) Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved

Since you only get these square-root answers by using the Quadratic Formula, and since the square-root part of the Formula is preceded by a "plus-minus" sign, then these square-root answers must always come in pairs. Thus, if x = -3 + sqrt(11) is a root, then so also must x = -3 - sqrt(11) be a root. So my next step is to divide by x = -3 - sqrt(11):

completed division

I had started with a fourth-power polynomial. After the first division, I was left with a cubic (with very nasty coefficients!). After the second division, I'm now down to a quadratic (x2 + 0x – 5, or just x2 – 5), which I know how to solve:

x = +/- sqrt(5)

Then the full solution is:

x = -3 +/- sqrt(11), +/- sqrt(5)

If you have studied complex numbers, then you may see a problem of the following type.

Given that 2 – i is a zero of x5 – 6x4 + 11x3 – x2 – 14x + 5, fully solve the

equation  x5 – 6x4 + 11x3 – x2 – 14x + 5 = 0.

They have given us a zero, so I'll use synthetic division and divide out 2 – i:

completed division

(You will probably want to use scratch paper for the computations required when doing complex division.)

Recall that, to arrive at a zero of 2 – i, they must have used the Quadratic Formula, which always spits out complex answers in pairs. That is, you get the imaginary part (the part with the "i") from having a negative inside the "plus or minus square-root of" part of the Formula. This means that, since 2 – i is a zero, then 2 + i must also be a zero.  So I'll divide by 2 + i:

completed division

This leaves me with a cubic, so I'll need to find another zero on my own. (That is, I can't apply the Quadratic Formula yet.) I can use the Rational Roots Test to help find potential zeroes, and a quick graph of x3 – 2x2 – 2x + 1 can help. I will try x = –1:

completed division

Now I'm down to a quadratic (x2 – 3x + 1, which happens not to factor), so I'll apply the Quadratic Formula to get:

x = (3 +/- sqrt(5))/2

Then all the zeroes of x5 – 6x4 + 11x3 – x2 – 14x + 5 are given by:

x = 2 - i, 2 + i, (3 - sqrt(5))/2, (3 + sqrt(5))/2, -1

Anna invested $28,000 in an account paying an interest rate of 6.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $39,500?

Answers

Answer:

It will take 5.3 years to reach $39,500

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested rather than paying it out.

Interest in the next compound period is then earned on the principal sum plus the previously accumulated interest.

The formula is:

[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

We are required to find the time needed to convert the principal P into a given final amount.

Solving the above equation for t, we get:

[tex]\displaystyle t=\frac{log(A/P)}{n\cdot log\left(1+r/n\right)}[/tex]

Anne invested P=$28,000 in an account at r=6.5%=0.065 compounded daily. There are 360 days in a year, so n=360. The final amount A=$39,500.

Substituting into the formula:

[tex]\displaystyle t=\frac{log(39,500/28,000)}{360\cdot log\left(1+0.065/360\right)}[/tex]

t=5.3 years

It will take 5.3 years to reach $39,500

Answer:5.3

Step-by-step explanation:

what is the most specific name for a triangle with the following measures? angles: 10, 45, 125 *they are all degrees*

Answers

Five exterior angles of a hexagon are 41° 32°,67º 71°, and 55°, What is the measure of the sixth exterior
angle
Can yo help me?

The figure below shows two pair of congruent triangles. ΔFDE≅ _____. ΔYXW ΔXYW ΔWYX ΔWXY

Answers

Answer:

WYX

Step-by-step explanation:

Answer:

wxy

Step-by-step explanation:bc it is

PLEASE HELP ME PLEASE!!!

Answers

Answer:

cant not see the photo honey

Step-by-step explanation:

Answer:

For point (1, -2): -2 = -1 - 1 = -2. Therefore, point (1, -2) lies on the graph of the equation.

The graph of the equation is the set of points that are solutions to the equation.

A coordinate pair on the graph of the equation is a solution to the equation.

For the point (0, -1): -1 = -(0) - 1 = 0 - 1 = -1.

Therefore, The point ( 0, −1 ) lies on the graph of the equation.

Step-by-step explanation:

I feel like this wont help- qwq okay the answer is C-

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