y=x^2-8x+6 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

y = x^2-8x+6

y = (x - 4)^2 - 16 + 6

y = (x - 4)^2 - 10

So the vertex is at (4, -10)

The coefficient of x^2 of this function is 1 ( positive) so there will be  a minimum value.

Minimum value = -10.

x-intercepts:

(x - 4)^2 - 10 = 0

(x - 4)^2   =   10

x -  4 =  +/- √10

x =  4 +/- √10

- therefore there are 2 x-intercepts.


Related Questions

Given sinx=0.3, what is cosx? enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.

Answers

The value of the cox will be equal to Cosx=[tex]\pm[/tex]0.95

What is the value of cosx?

It is given that

The value of Sinx=0.3

Now we know that

[tex]Sin^2x+Cos^2x=1\\\\0.3^2+Cos^2=1\\\\Cos^2=1-0.3^2\\\\Cos^2x=1-0.9\\\\Cos^x=0.91\\\\Cos=\sqrt{0.91}\\\\Cosx=\pm 0.95[/tex]

Hence the value of  Cosx=[tex]\pm[/tex]0.95

To know more about trigonometry identities follow

https://brainly.com/question/24496175

subtract (3√3+4√5) from (3√5-4√3) can someone please help me with this ASAP

Answers

Answer: [tex]\bold{-\sqrt{5}-7\sqrt{3}}}[/tex]

Step-by-step explanation:

[tex]\left(3\sqrt{5}-4\sqrt{3}\right)-\left(3\sqrt{3}+4\sqrt{5}\right)[/tex]

[tex]=3\sqrt{5}-4\sqrt{3}-3\sqrt{3}-4\sqrt{5}[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:3\sqrt{5}-4\sqrt{5}=-\sqrt{5}[/tex]

[tex]=-\sqrt{5}-4\sqrt{3}-3\sqrt{3}[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:-4\sqrt{3}-3\sqrt{3}=-7\sqrt{3}[/tex]

[tex]{=-\sqrt{5}-7\sqrt{3}}[/tex]

Find the area of each.

Answers

Answer:

Hope the pictures will help you..

is y= x/2+6 linear or non-linear

Answers

The answer should be Non-linear
It is definitely LINEAR.

meaning it’s a line.

this is the equation of a line with 1/2 slope and y-intercept of 6


I hope this helps and is the BRAINLIEST!

Good luck with your studies!!

Josh ran a two-lap race in 117.92 seconds. He ran the second lap in 59.13 seconds. How long did it take him to run the first lap?​

Answers

Answer:

According to my calculation this is the answer.Hope the picture will help you...

Leah flips a coin and then she spins the spinner with 3 equal sections colored red green and blue what is the probility that the coin flips heads and the spinner lands on wither red or blue enter youanwser a percentage to the nearest percent

Answers

Answer:

33%

Step-by-step explanation:

Prob(heads) = 1/2

Prob(either red or blue) = 2/3

So Prob( heads and red/blue) = 1/2 * 2/3

= 2/6

= 1/3   which is 33%.

????!!!!??!!?!!?!!?!!?!!!!?!!!!

Answers

Answer:

A.

Step-by-step explanation:

if both increases the volume also increase as the same i.e.

twice length and twice radius = twice the volume of wax

MARK ME AS BRAINLIST

in the scale drawing of a
park the scale is 1 cm: 10 m find the area of the actual Park

Answers

Answer:

please what is the dimension for the length and breadth

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

okay so i think the length of CD is 16cm

1. What is the 90th percentile if the sample size is 11?

2. What is the simple size if the degree of freedom is 30?
A. 29
B. 31
C. 28
D. 30

3. What is the t-value if the sample size is 16 and area is 0.10?

4. In the t-distribution, what is the degree of freedom if n = 19?

I NEED IT NOW PLSS

Answers

The answer should be D. I believe so

2x² - 2/3 = 5 13
-
Help please

Answers

Answer:

i think the answer is x = 3

or x = -3 or

Step-by-step explanation:


im pretty sure this is the answer.

Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Find the probability of randomly choosing a penny from the jar, and then choosing a dime from the jar after the first coin is replaced.

Write the probability as a fraction in simplest form

Answers

11\44 for the dime, and 12\44 for the penny.

Step-by-step explanation:

11 dimes + 21 nickels + 12 pennies = 44 coins. 12\44 probability of randomly choosing a penny from the jar. And 11\44 probability of randomly choosing a dime AFTER the penny is replaced.

What is -1/2+2/3 please answer i need

Answers

Answer:

1/6 i think

Step-by-step explanation:

(co
Write a cosine function that has an amplitude of 2, a midline of 5 and a period of 8.

Answers

Answer:

y=2 cos (π/4x-π/4)

Step-by-step explanation:

Given

A cosine function has an amplitude of 2, a midline of 5 and a period of 8.

To find:

A cosine function.

Explanation:

Let the function be,

[tex]y=Acos(ws+p)[/tex]

Since amplitude is 2.

Then,

[tex]A=2[/tex]

Also, since the period is 8.

Then,

[tex]w=\frac{2\pi }{8}[/tex]

[tex]w=\frac{\pi }{4}[/tex]

And, since midline is 5.

Hence, the cosine function is,

y=2 cos ([tex]\frac{\pi }{4}[/tex]x-[tex]\frac{\pi }{4}[/tex]

The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to pay more for a yearbook if their names were printed on the front. of the students who were surveyed, 26 of them said they would be willing to pay extra.

with a desired confidence interval of 90%, which has a z*-score of 1.645, what is the margin of error of this survey?

Answers

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:

[tex]n = 80, \pi = \frac{26}{80} = 0.325[/tex]

Then, the margin of error is of:

[tex]M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

Hello people ~
Help me with the question attached above.
Thanks in advance!!​

Answers

Step-by-step explanation:

radius = 10 cm

volume = v

height h cm

[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]

hope it's helpful thanks

The following pattern has been formed from a circle with a diameter of 6cm that has been broken up into five congruent sectors. Calculate the perimeter of the pattern to four decimal places

Answers

The perimeter of this following pattern is

30.8496cm

Does the graph represent a function? Why or why not?

Answers

Yes, because there are no x repeats (passed vertical line test).

one fifth of a number is subtracted from four fifth of the same number if result is 9 what is the number ​

Answers

Answer:

the number is 15

Step-by-step explanation:

Josiah scored 22 points in his basketball game, including x 2-point baskets; y 3-point baskets, and z free throws, worth 1 point each. He made a total of 13 baskets, with three times as many 2-point baskets as 3-point baskets. Which system of equations represents this situation?​

Answers

Answer:

X+y=23 (x and y added equal the number of baskets made)

2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)

Hope this helps!

What is the value of the product (3 – 2i)(3 2i)? 5 9 4i 9 – 4i 13

Answers

Answer:

[tex]\left( 3-2i\right) \left( 3+2i\right) =13[/tex]

Step-by-step explanation:

Note :

i² = −1

(a - b)(a + b) = a² - b²

________________

[tex]\left( 3-2i\right) \left( 3+2i\right) =3^{2} - (2i)^2[/tex]

                         [tex]=9 - (2)^2\times i^2[/tex]

                         [tex]=9 - 4(i)^2[/tex]

                         [tex]=9-4\times(-1)[/tex]

                         [tex]=9+4[/tex]

                         [tex]=13[/tex]

Answer: (3 – 2i)(3 2i)=13

Step-by-step explanation:

edge2020

please someone help with this thank you !!

Answers

Answer:

i guess 36 ft in cubic feet

Step-by-step explanation:

8 x 4 1/2

= 8 x 9/2

= 4 x 9

= 36

Which inequality does the graph represent (pls I’m HORRIBLE at number lines so please answer both if possible, Ty)

Answers

Answer:

For #11 it is X≥-2.  For #12 it is X<-1 I think

Step-by-step explanation:

I hope this helps you and please mark me as brainliest

Please help me
Solve for JL

Answers

We have JM=ML due to the relation between sides and angles
Set 3x+4 = 5x-16
=> x= 28/5
Substitute back to the equation ( either one would work be cause they are equal) : 3 ( 28/5) +4 = 20.8
We have JL = JM+ML
=> JL = 20.8+20.8 = 41.6
The answer is ; 68

Explain


JM= ML substitute values to get
3x+4=5x-16
add 16
subtract 3x from both side to
get 20 =2x
divide by 2
get x= 10


So


50 JM =3x 10+4=34
so JL = 2JM
substitute value to get
JL=2 x34

That should equal to 68


Do you have any doubts?

Select all the correct triangles.
Which triangles in the coordinate plane are congruent to triangle A because they can be mapped onto it by a sequence of rigid transformations?

Answers

Answer:

triangle D and F

Step-by-step explanation:

triangle D and F are the same as A, just angled differently.

God bless! hope i helped someone, somehow.

Answer:

D,F

Step-by-step explanation:

The perimeter of a rectangle is 52 inches. The rectangle is 15 inches long. How wide
is the rectangle?
22 inches
37 inches
18.5 inches
11 inches

Answers

Answer:

11 inches

Step-by-step explanation:

The perimeter of a rectangle is 2*(base) + 2*(height), or P = 2B + 2H

P = 2B + 2H

P = 2B + 2H

52 inches = 2(15 in) + 2H

2H = 22 inches

B = 11 inches

What is pi with 400 numbers.

Answers

the first 400 digits of pi

3.1415926535897932384626433832795028841971

6939937510582097494459230781640628620899

8628034825342117067982148086513282306647

0938446095505822317253594081284811174502

8410270193852110555964462294895493038196

4428810975665933446128475648233786783165

2712019091456485669234603486104543266482

1339360726024914127372458700660631558817

4881520920962829254091715364367892590360

0113305305488204665213841469519415116094

3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9 6 4 4 2 8 8 1 0 9 7 5 6 6 5 9 3 3 4 4 6 1 2 8 4 7 5 6 4 8 2 3 3 7 8 6 7 8 3 1 6 5 2 7 1 2 0 1 9 0 9 1 4 5 6 4 8 5 6 6 9 2 3 4 6 0 3 4 8 6 1 0 4 5 4 3 2 6 6 4 8 2 1 3 3 9 3 6 0 7 2 6 0 2 4 9 1 4 1 2 7 3 7 2 4 5 8 7 0 0 6 6 0 6 3 1 5 5 8 8 1 7 4 8 8 1 5 2 0 9 2 0 9 6 2 8 2 9 2 5 4 0 9 1 7 1 5 3 6 4 3 6 7 8 9 2 5 9 0 3 6 0 0 1 1 3 3 0 5 3 0 5 4 8 8 2 0 4 6 6 5 2 1 3 8 4 1 4 6 9 5 1 9 4 1 5 1 1 6 0 9 4

solve the system of equations 25-x=-4y and 3x-2y=30

Answers

Answer:

the system of equations 25-x=-4y and 3x-2y=30

Step-by-step explanation:

the system of equations 25-x=-4y and 3x-2y=30

Answer:

(7, -9/2)

x=7

y=-9/2

Step-by-step explanation:

1. x=25+4y

2. 3x-2y=30

substitute 1 in 2

3. 75+12y-2y=30

simplify

10y=-45

y=-9/2

substitute y in to the second equation 3x-2y=30

3x+9=30

3x=21

x=7

The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{III}IIIstart text, I, I, I, end text, and \sin(\theta_1)=-\dfrac{\sqrt{3}}{2}sin(θ 1 ​ )=− 2 3 ​ ​ sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, minus, start fraction, square root of, 3, end square root, divided by, 2, end fraction .

Answers

So the answer is 4 I’m right u wrong ok I’m tell the truth trust me I got 5 hearts this morning

Write equations for the horizontal and vertical lines passing through the point (3,9)

Horizontal line:
Vertical line:

Answers

Answer:

Horizontal: y = 9

Vertical: x = 3

Step-by-step explanation:

Any point is given in the form (x,y). The first number is the x and the second number is the y.

Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--

y = 0x + b

y = b (a number, use the y-number from the point)

A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form

"x = anumber" Use the x from the point.

Horizontal line through (3,9) is y=9.

Vertical line through (3,9) is x=3

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