find the vertex of y=x^2-6x+1 A. ( 1 , 5 ) B. ( 4 , 1 ) C. ( 2 , -3 ) D. ( 3 , -8)

Answers

Answer 1

[tex]h=\frac{-b}{2a}[/tex]

[tex]k=f(h)[/tex]

[tex]h=\frac{6}{2}[/tex]

[tex]h=3[/tex]

[tex]k=f(3)[/tex]

[tex]f(3)=9-18+1[/tex]

[tex]f(3)=-8[/tex]

The vertex is [tex](3,-8)[/tex]

Hope this helps.

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Related Questions

The ratio of yellow to blue skittles in a bag 5:9 if there are 12 more blue skittles in the bag than yellow skittles how many yellow skittles are in the bag

Answers

Answer: 15

Step-by-step explanation: 5/9=15/27. 27-15=12

The number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

What is Ratio?

A ratio is an ordered pair of numbers x and y which can be written as x / y where y does not equal 0.  A proportion is an equation in which two ratios are set equal to each other.

For given information,

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag= 12+Y

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/(5+9)= 9/14

The total number of skittles = Yellow + Blue

in this Y as yellow; Y+12 as blue.

Y + Y + 12 = 2·Y + 12

The fraction of the total skittles that are blue = 9/14

we have 9/14 × (2·Y + 12)  = Y + 12

-> 9 × (2·Y + 12) = 14 × (Y + 12)

-> 18·Y + 108 = 14·Y + 168

-> 18·Y - 14·Y = 168 - 108 = 60

-> 4·Y = 60

-> Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.

Thus, the number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

Learn more about Ratio, here:

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Find the straight pay:$9.25 per hour x 35 hours.

Answers

Answer:

323.75 hours is the answer

Which represents a function

Answers

Answer:

the one on the right

Step-by-step explanation:

one input cannot have more than one output

Figures in square brackets are estimated standard errors of the coefficient estimates. What is the value of the test statistic for the hypothesis that the coefficient of is zero against the alternative that is less than zero?

Answers

Umm I’m not sure. Sorry for the inconvenience.

A 12.5 oz box of cereal has a price of $2.07. What is the unit ratio of price to weight rounded to the nearest cent?

Answers

Answer:

16 cents

Step-by-step explanation:

The answer is 16 cents because 207 cents divided by 12.5 oz equals 16 cents.

How much should Jenna save up to prepare for car repairs and maintenance? (A lump sum emergency fund just for car repair/maintenance that may come up in the future)

Answers

Answer:

$500 per year.

Step-by-step explanation:

Car repairs and maintenance expense is based on the usage of car as well as its present condition. If the car is bought from showroom and is new then it will incur only small amount of expense as its maintenance but if the car is used by various owners then it is likely that maintenance expense can be huge. The average car repair expense is $500 to $800 per year depending on car condition. Since Jenna car is new she should keep the repair estimate to be minimum that is nearly $500 per year or $42 per month.

1. Find the sum of the following AP:
2.7.12.....to 10 terms
06.17.28....to 100 terms​
please answer

Answers

Answer:

245 and 55050

Step-by-step explanation:

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

In the first progression a₁ = 2 and d = 7 - 2 = 5, thus

[tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] [ (2 × 2) + (9 × 5) ] = 5 × ( 4 + 45 ) = 5 × 49 = 245

-------------------------------------------------------------------------------

In the second progression a₁ = 6 and d = 17 - 6 = 11, thus

[tex]S_{100}[/tex] = [tex]\frac{100}{2}[/tex] [ (2 × 6) + (99 × 11) ]

      = 50(12 + 1089) = 50 × 1101 = 55050

A rectangle has height to width ratio 3:45. give two examples of dimensions for rectangles that could be scaled version of this rectangle

Answers

Answer:

fr7diyktgjhv fdxgkhgfdxghnjkngfcc

Step-by-step explanation:

rd6klfutgkhjkhfdeswdfgkjhuyt6rdefgthjkiluhgf

Answer:

Step-by-step explanation:

1) f(x) = 3x - 4
g(x) – x2 + 3x
Find f(g(x))

Answers

Answer:

x=4/3

Step-by-step explanation:

Which is an estimate of 75 to the nearest whole number?

Answers

Answer:

70

Step-by-step explanation:

The GPA for a student who received a B average is
A. 1.0
B. 3.0
C. 2.0
D. 4.0

Answers

Answer:

Step-by-step explanation:

3.0

It would be B because an A average student would get 4.0 therefore B average would be lower hence 3.0

How do you divide 506 in the ratio 2:4:5 ?

Answers

Answer:

Step-by-step explanation:

If the ratio is 2:4:5 there are 2+4+5=11 equal parts...

506/11=46

So each part is equal to 46 so 506 in a ratio of 2:4:5 is:

92:184:230

Solve for d. dt=v What is d equal to? A. d=vt B. d=t/v C. d=v-t D. d=v/t

Answers

Answer: I think the answer is "d = vt"

Step-by-step explanation:

Multiply both sides of the equation by;

t * d = v * (t)

Multiply, v by t

Answer; d = vt

Hope this helps :)

The value of d, is equivalent to d = v/t.

What is a function?

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is the following equation -

dt = v

We have -

dt = v

d = v/t

Therefore, the value of d, is equivalent to d = v/t.

To solve more questions on functions, visit the link below -

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Number of girls: 14 Number of boys: 12 Number of students in the class: 26 What is the ratio in simplest form of the number of boys to the number of students in this math class?

Answers

12 boys : 26 students
divide by 2 and you get
6 : 13
this can’t be divided anymore so the ratio in simplest form is 6:13

Answer:

6:13

Step-by-step explanation:

What is the unit rate if a student reads 81 pages in 3 hours?

Answers

Answer:

27 pages per hour

Step-by-step explanation:

81 pages divide by 3 hours. think of it as a fraction and divided 3 on both bottom and top then it gives you 27pages per hour as a fraction

Si la época prehistórica sucedió desde hace 2.5 millones de años a.C., hasta hace 2.500 años a.C.; el período Paleolítico (2.5 millones de años a.C. Hasta 10.000 a.C.; el Mesolítico 10.000 a.C. Hasta 5.000 a.C. Y, el Neolítico sucedió desde el 5.000 a.C. Hasta el 2.500 a.C. ¿A qué fracción de la época prehistórica corresponde el período paleolítico? *

Answers

Answer:

El período paleolítico corresponde a [tex]\frac{332}{333}[/tex] de la época prehistórica.

Step-by-step explanation:

En primer lugar, se determina la extensión de tiempo, medida en años, tanto de la época prehistórica como el período paleolítico: (Nótese que el signo negativo significa a.C.)

Época Prehistórica

[tex]\Delta T = -2500-(-2500000)[/tex]

[tex]\Delta T = 2497500\,years[/tex]

Período Paleolítico

[tex]\Delta t = -10000 - (-2500000)[/tex]

[tex]\Delta t = 2490000\,years[/tex]

La fracción de la época prehistórica que corresponde al período paleolítico es:

[tex]r = \frac{\Delta t}{\Delta T}[/tex]

[tex]r = \frac{2490000\,years}{2497500\,years}[/tex]

[tex]r = \frac{332}{333}[/tex]

El período paleolítico corresponde a [tex]\frac{332}{333}[/tex] de la época prehistórica.

Requie
2) 20 + (-45)

Answers

Answer:

20 + (-45) = -25

The answer is negative 25

You spend $300 to start and costs $20 for each dog house
# of dog houses
1
2.
3
4
5
6
7
Total cost to build

Answers

Answer:

15

Step-by-step explanation:

because because 300 divided by 20 equals 15 hope this helps

Danny is trying to determine the product between a rational and irrational number

Answers

Answer:

2√3=2√3, which is irrational

is 4 √ 7 2 written in simplest radical form

yes or no

Answers

Answer:

No.

Step-by-step explanation:

Notice that 72 can be written as 8 * 9.

4√72 = 4(√8)(√9) = 4(√8)(3) = 12√8.

Hence the answer is No.

Answer:

no 8[tex]\sqrt{7}[/tex] would be simplified

Step-by-step explanation:

I need to know about the gradient

Answers

Answer:

Step-by-step explanation:

Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether. Explain how you know

Answers

Answer:

15 pints of paint 6 red 9 yellow

Step-by-step explanation:

3x3=9 so 9 yellow pints

and 2x3=6 so 6 red pints

6+9=15 so 15 pints of paint in total

Simplify: -3(y+2)^2-5+6y

Answers

Answer:3y^2+18y+7

:) happy to help

Please help me I need help asap

Answers

Answer:

Step-by-step explanation:

y = -x + 2

x       y

0      2

-1      3

-2      4

1         1

2        0

inverse of y = -x + 2

x = -y + 2

-y + 2 = x

-y = x - 2

y = -x + 2

x          y

0         2

1          1

-1        3

2        0

It is a function

one input and one output

Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25. If Lucy wants to make at least $85.00 from her mother’s donation, how far will she have to walk? Show your work.

Answers

Answer:

8 miles

Step-by-step explanation:

let x= miles she walks

7.50x+25=85

subtract 25 from both

7.50x=60

divide both by 7.50

x=8

I NEED SERIOUS HELP NOW PLZ
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.

Answers

Answer:

Step-by-step explanation:

Hello,

[tex](y-9)^2=(y-9)(y-9)=y^2-2*9*y+9^2=y^2-18y+81[/tex]

thanks

Answer:

yes

Step-by-step explanation:

I will mark you brain list plz answer ​

Answers

Answer:

Hess

Hess - $3.25

Texaco - $3.345

Shell - $3.26

The ratio of the number of baskets made by to Tony to the number of baskets made by Colin is 2 to 3. Tony made 10 baskets.How many baskets did Colin make?

Answers

Answer:

I believe the answer would be 15

Step-by-step explanation:

This is because the ratio is 2 to 3 and you would divide it in half so you get one part then times it by three to get the second part of the ratio.

So it would be 10/2=5 then 5 times 3 to get 15. Therefore, 10 to 15

Answer:

15 baskets

Step-by-step explanation:

Step 1 : write a statement

Tony : Colin

2 : 3

10 : ?

Step 2: Cross multiply

i.e. 10×3=30

30÷2=15

The table shows the height of the tree that Margo planted over an 11-month period.

A 2-column table with 6 rows titled Growth of Margo's Tree. The first column is labeled Month with entries 1, 3, 5, 7, 9, 11. The second column is labeled Height of Tree (feet) with entries 1.4, 1.5, 2.1, 2.7, 3.0, 1.8.
Which statement can be supported by the information in the table?

The tree increased in height each month during the entire 11-month period.
The tree decreased in height each month during the entire 11-month period.
The tree increased in height each month until the time period between month 9 and month 11.
The tree decreased in height each month until the time period between month 9 and month 11.

Answers

Answer:

The answer is c

Step-by-step explanation:

just did it on edg

Answer:

The answer is: C

Twelve more than a number is the product of -3 and 6. Translate using n

Answers

Answer: n + 12 = -18              or  n + 12= -3(6)    

Step-by-step explanation:

12 more than a number means 12  is added to the number so the expression will be   n + 12  and the product of -3 and 6  is the same as  -3 times 6  which is -18 . n + 12 has to equal -18 .

n + 12 = -18    now subtract  12 from both sides

  -12        -12

n=  -30  

So the number  is -30

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