Mathematics High School

Graph y = x2 - 8x + 13

Answers

Answer 1
y=x^2-8x+16-3=(x-4)^2-3
Graph Y = X2 - 8x + 13
Answer 2

Answer:

Step-by-step explanation:

From the given x^2 - 8x + 13 we can find several points to graph to represent this quadratic function.

The y-intercept is (0, 13) and stems from letting x = 0.

                                                 b

The axis of symmetry is x = - -----

                                                 2a

                                                                                    -8

Since a = 1 and b = -8, the axis of symmetry is x = - ------- = 4

                                                                                      2(1)

and so the vertex is at (4, 4^2 - 8(4) + 13), or (4, -3)

If you want to go the extra mile, find the roots of the given equation.  These are also your x-intercepts.  One such intercept is (2. 0).  

Plot these points and draw a smooth curve through them.

Hint:  the parabolic graph opens up.

Related Questions

PLS HELP ASAP WILL GIVE BRAINLEAST

Answers

Answer:

do cubic root of 64 cause the volume is S^3

so the side is 4

Answer:

4

Step-by-step explanation:

4 is the cube root of 64

Which number line shows the correct locations of all the given values?

Answers

Answer:

it would be c because it is plotted correctly

At noon, the temperature was 0° Fahrenheit. The temperature changed by −1.2°F every hour for 8 hours. What was the temperature in degrees Fahrenheit at the end of the 8-hour period?

Enter your answer in the box.

Answers

-9.6 degrees Fahrenheit

PLEASE HELP, I NEED THIS RIGHT NOW! ​

Answers

Answer:

A

Step-by-step explanation:

i dnt know how to explain tht but hi

Which number best represents a temperature drop of twelve degrees?
A. -1.2
B.
1.2
C. -12
D.
12

Answers

Answer:

c

Hope it helps :)

the answer is c i think

HELPP PLEASEEE!!!! i will give brainiest and 10+points, HELP HURRYY THANKSSSSSS

Answers

Answer:

Im sorry I honestly don't know

Step-by-step explanation:

But can you look at my question to see if you can help me? Please I understand if you can't. My regards

In a 100m race an athlete took 9.8 seconds:
a) Draw a distance-time graph to represent this information
b) determine the average velocity
c) distance traveled in 3 seconds
d) the time taken to cover 80m

Answers

Step-by-step explanation:

b) average velocity : ∆x/∆t = 100/9.8 ≈ 10.204 m/s

c) ∆x = v.∆t = 10.204 × 3 = 30.612 m

d) ∆t = ∆x/v = 80/10.204 = 7.84 s

PLEASE HELP. I CAN'T FAIL THIS TEST. A local movie theatre is having trouble getting people to come to the movies and they are trying to figure out why. They decide to survey the next 100 movie goers to see how they feel about going to the movies. Is this a good way for them to the movie theatre to collect data?

A) No, they are surveying people that are attending the movies and they are trying to find why people don't go to the movies.

B) Yes, since these are people that frequent the movie theater they can find out what they are doing that people like.

C) Yes, it is an inexpensive way for the movie theatre to get the information that they need.
D) No, that is too many people to survey and it will take too long to tally the results.

Answers

Answer:

I would say the answer is A.

Step-by-step explanation:

I think this because well why survey people that are coming into the Theaters cause obviously it seems like the like going to the movies, but truly they are suppose to survey people who don't like going to the movies.

Answer:

A

Step-by-step explanation:

Please Help Me! I would be really grateful!

Answers

Answer:

weight in an elevator must be less then 2000 - w is less then 2000 or the first option

a ton is 2000 lbs - w=2000

the pool must hold at least 2000 gallons - the second option

the scale can hold up to and including 2000 lbs - the fourth option

my car weighs more then 2000 lbs- the last one

I think this is right, I hoped I helped

what is the probability of each of the following? a.Not drawing a blue chip, where probability of (drawing a blue chip) =3/8 b. Not seeing Fred tomorrow, where probability of (seeing Fred tomorrow) =2/5 c.Not going to the movies this evening, where probabilty of (going to the movies this evening)= 3/4 d. Not raining tomorrow, where probabilty of (raining tomorrow) =30%

please help:/​

Answers

Answer:

a. 5/8 b. 3/5 c. 1/4 d. 70%

Step-by-step explanation:

You earned a 72% on a science test. You answered 18 questions correctly. How many questions were on the test? PLS put a step by step explanation cus I am doing a quiz and no work =no points. PLS put a explanation.

Answers

Answer:

4

Step-by-step explanation:

72/18=4

Answer:

25

Step-by-step explanation:

y = 18 ÷ [tex]\frac{72}{100}[/tex]

y = 18 ÷ 0.72

y = 25

The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri

Answers

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

en un aparcamiento hay 55 vehiculos entre coches y motos. Si el total de ruedas es de 170. ¿Cuantos coches y cuantas motos hay?​

Answers

Answer:

Spanish?

Step-by-step explanation:

I speak english

Identify the percent of change as an increase or decrease. 10 feet to 8 feet point
Increase Decrease

Answers

Answer:

It decreases because it's going lower if it increases its going higher

At summer camp, the cook asks 6 campers to help with slicing watermelons. Each camper slices 4 ½ watermelons. How many melons do the campers slice?

Answers

Answer:

27 melons

Step-by-step explanation:

Number of melons sliced = Number of melons sliced by each camper * number of campers

 = 4 1/2 * 6

[tex]= \frac{9}{2}*6\\\\=9*3\\\\= 27[/tex]

Answer:

Solution :-

No. of campers = 6

Melon slice by 1 camper = 4½

Total melons sliced = 4 ½ × 6

Total melons sliced = 9/2 × 6

Total melons sliced = 9 × 3

Melons sliced = 27★

[tex] \\ [/tex]

What is the product (3x10^9) x (2x10^17) in scientific notation

Answers

Answer:

6·10^26

Step-by-step explanation:

Multiply together the coefficients 3 and 2, obtaining 6.  We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer

6·10^26

Answer:

6•10^26 is the answer.

describe how 20,000 and 2,000 related

Answers

Answer:

They both have 3 zero's both have the number 2

They both are numbers

The population of bacteria in an
experiment is increasing by 90% each
day. If there were 100 bacteria at the
beginning of the experiment, predict the
number of bacteria in 5 days.
First, complete the equation:
Future Amount = [?](1+[DU
what would the equation

Answers

Answer:

Future amount = 100(1.9)^5 ;

2476

Step-by-step explanation:

P(t) = P0 * (1 + r)^t

P(t) = 100 * (1 + 90/100)^t#

P(t) = 100 * (1 + 0.9)^t

Therefore, the number of bacteria in 5 years :

P(5) = 100 * (1 + 0.9)^5

P(5) = 100 * (1.9)^5

P(5) = 100 * 24.76099

P(5) = 2476.099

P(5) = 2476 bacteria

P(10%

Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range

Answers

Answer:

Mean: 4

Mode: 4

Median: 6

Range: 5

Step-by-step explanation:

Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Mode: Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

A specialty candy shop makes chocolate covered cherry and graham cookie bites. The cherry is spherical with a diameter of 3 cm and the graham cookie is a rectangular prism with a base measuring 4 cm by 4 cm and a thickness of 0.5 cm. What is the total surface area of the bite if each piece is drenched in chocolate from top to bottom before being put together, to the nearest tenth of a square centimetre?

Answers

Answer:

44.7cm^2

(I had a similar problem the only difference is that instead of 4 by 4 cm mine is 5 by 5cm so you'll still have to do some calculations but it's the same process

step-by-step

Can someone pleas help ?

Answers

Answer:

y=12

Step-by-step explanation:

BA/BD=BE/BC

24/8=(24+y) / y

16y=192

y=12

4.
Kamisha has $114 In her bank account. She spends $81 on groceries, and she spends $44 at the
book store. Which number represents a debt greater than Kamisha's?
-$12
- $10
$10
$12

Answers

Answer:

-$12

Step-by-step explanation:

Add the spendings

$81+$44=$125

Subtract base number and solution

$114-$125=-$11

-$12 is a greater debt than -$11

Amy buys 23 envelopes for 16p each and pays with a £5 note. How much change does she get? Give your answer in pounds

Answers

Answer: £1.32

Step-by-step explanation:

Amy buys 23 envelopes and each of them cost 16p.

1p makes a pound so 16 pence is £0.16.

23 envelopes would cost:

= 0.16 * 23

= £3.68

Her change in Pounds would be:

= 5 - 3.68

= £1.32

Nancy’s gross annual income is $46,905. She is paid monthly and has 9% deducted from her paychecks for her 403(b). Her employer matches her deduction, up to 3%.


How much is deposited into her retirement plan each payday?


Answers:

$234.52


$351.79


$469.05


$703.58

_______________

Thank you in advance!

Answers

Answer:

The amount deposited into her retirement plan each payday is;

$469.05

Step-by-step explanation:

From the details given on Nancy's income, we have;

Nancy's gross annual income = $46,905

The percentage deducted from her monthly paycheck for her 403(b) = 9%

The percentage her employer matches her deductions up to = 3%

Therefore, we have;

Her monthly pay = (Her gross annual income)÷12

∴ Her monthly pay = $46,905÷12 = $3,908.75

The amount deducted from her paycheck, A = 9% of $3,908.75

∴ A = 9/100 × $3,908.75 = $351.7875

The amount her employer matches her deductions up to, B = 3% of $3,908.75

∴ B = 3/100 × $3,908.75 = $117.2625

Therefore;

The amount deposited into her retirement plan each payday, D = A + B

∴ D = $351.7875 + $117.2625 = $469.05

The amount deposited into her retirement plan each payday, D = $469.05.

Based on the diagram...what is the value of x??

Answers

Answer: 22.5

Explain:
First, I divided 15 by 4 since there are 4 bars
That got me 3.75
Then, I multiple 15 by 3.75
To get the answer 22.5

plzzzz hurry ill mark you brainly

Answers

Answer:

1: z = 4.

2: y= 6.

3: w= 13.

4: a= 36.

Please like and mark brainliest!

Hope it helps!

Answer: Z is equal to 4, for the first one. The second one is Y equals 6. The 3rd one is W equals 13. The fourth and final one is A equals 36.

Step-by-step explanation:

Long Explanatio, but I gave the answers.

Pls help me and pls show the complete working

Answers

don’t fall for them links^^^
they try to hack your device, be carful stay safe boo xoxo

What is the area of triangle ABC?

Select the correct choice.

A: 6sqrt3
B: 18sqrt3
C: 36sqrt3
D: 72sqrt3

Answers

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The triangle is equilateral , since 3 angles = 60°

Then base AB = 12

Find height CD using the sine ratio in the right triangle ( there are 2 )

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CD}{BC}[/tex] = [tex]\frac{CD}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ← exact value of sin60° ( cross- multiply )

2CD = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

CD = 6[tex]\sqrt{3}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 12 × 6[tex]\sqrt{3}[/tex] = 6 × 6[tex]\sqrt{3}[/tex] = 36[tex]\sqrt{3}[/tex] units² → C

Find the possible values of k if one of the roots of the quadratic equation x^2 - kx + 8 = 0 is twice the other.​

Answers

Answer:

[tex]k=\pm 6[/tex]

Step-by-step explanation:

The given quadratic equation is :

[tex]x^2 - kx + 8 = 0[/tex]

One of the roots of this equation is twice that of the other. Let the roots are [tex]\alpha \ and\ \beta[/tex], [tex]\alpha =2\beta[/tex]

Sum of roots, [tex]\alpha +\beta =\dfrac{-b}{a}[/tex]

[tex]\alpha +\beta =\dfrac{-(-k)}{1}\\\\\alpha +\beta =k\\\\3\beta =k\ .......(1)[/tex]

Product of roots,

[tex]\alpha \beta =\dfrac{c}{a}\\\\2\beta ^2=\dfrac{8}{1}\\\\\beta =\pm 2[/tex]

If [tex]\beta =\pm2[/tex],

[tex]k=3(2)\\\\=\pm 6[/tex]

So, the value of k is equal to [tex]\pm 6[/tex].

what is 8x over 2y ?

Answers

Answer:

6 2/3.. i think

Step-by-step explanation:

hopefully u understand my messy handwriting

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