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Answer:

12

Step-by-step explanation

Answer:

Standard Form           Equivalent Form            Extreme Values

y=x^2-6x+17                   (x-3)^2+8                        (3,8)

y=x^2+8x+21                  (x+4)^2+5                        (-4,5)

y=x^2-16x+60                 (x-8)^2-4                         (8,-4)

Step-by-step explanation:

1) Standard form:

y=x^2-6x+17

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-6x+17\\y=x^2-2(x)(3)+(3)^2-(3)^2+17\\y=(x-3)^2-9+17\\y=(x-3)^2+8[/tex]

So, Equivalent form is: (x-3)^2+8

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate is: 2x-6

Now, put the derivate equal to zero: 2x-6 = 0

[tex]2x=6\\x=6/3 \\x=3[/tex]

Maximum value can be found by putting minimum value in the given function:

Put x = 3 and solve:

[tex](3)^2-6(3)+17\\9-18+17\\9-1\\=8\\[/tex]

So, the extreme values is: (3,8)

2) Standard form:

y=x^2+8x+21

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2+8x+21\\y=x^2+2(x)(4)+(4)^2-(4)^2+21\\y=(x+4)^2-16+21\\y=(x+4)^2+5[/tex]

So, Equivalent form is: (x+4)^2+5

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2+8x+21 is: 2x+8

Now, put the derivate equal to zero:

[tex]2x+8 = 0\\2x=-8\\x=-8/2 \\x=-4[/tex]

So, minimum value is: -4

Maximum value can be found by putting minimum value in the given function:

Put x = -4 and solve:

[tex]x^2+8x+21\\=(-4)^2+8(-4)+21\\=16-32+21\\=5[/tex]

So, Maximum value is: 5

So, the extreme values is: (-4,5)

3) Standard form:

y=x^2-16x+60

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-16x+60\\y=x^2-2(x)(8)+(8)^2-(8)^2+60\\y=(x-8)^2-64+60\\y=(x-8)^2-4[/tex]

So, Equivalent form is: (x-8)^2-4

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2-16x+60 is: 2x-16

Now, put the derivate equal to zero:

[tex]2x-16 = 0\\2x=16\\x=16/2 \\x=8[/tex]

So, minimum value is: 8

Maximum value can be found by putting minimum value in the given function:

Put x = 8 and solve:

[tex]x^2-16x+60\\=(8)^2-16(8)+60\\=64-128+60\\=-4[/tex]

So, Maximum value is: -4

So, the extreme values is: (8,-4)

Answer:

the dude above me i right i got i right on the test in edmentum

Step-by-step explanation:

Answer:

Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad. Shi'a Muslims, also called 'the party of Ali', believe that Muhammad chose Ali as his successor rather than having a bloodline successor.

Imamate is the Shi'a belief that all modern imams should be spiritual descendants of the Prophet Muhammad. Shi’a Muslims believe that imams protect the religion and help to guide Muslims along the right path. Today, Shi'a Muslim communities are led by imams, who are seen as having been chosen by God. Shi’a Muslims believe that imams are exemplary individuals who obey all teachings. Shi’a Muslims believe that imams are inspired by God, are without sin and are infallible, which means that they can interpret the teachings of the Qur’an without making any errors.

Today, Shi’a Muslim communities are led by imams, who are seen as having been chosen by God. Imams should be exemplary individuals who obey all teachings.

Origins of Imamate

After the Prophet Muhammad died, the Muslim community had to choose a successor. Abu Bakr, who was Muhammad’s father-in-law and closest friend, became the leader of the Sunni Muslim community.

Sunni Muslims, who make up around 90 per cent of the global Muslim population, agree that the rightful successor to Muhammad was Abu Bakr, Muhammad’s father-in-law. They recognise two further leaders who came after Abu Bakr. They then recognise a fourth leader, Ali (Muhammad’s cousin). Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad.

Shi’a Muslims, also called ‘the party of Ali’, believe that Muhammad chose Ali as his successor rather than having a bloodline successor. After Ali’s death, Shi’a Muslims were led by twelve imams, whom they believe were spiritual successors to the Prophet Muhammad rather than having any family connection to him. This was the beginning of the Imamate. Shi’a Muslims make up around 10 per cent of the global Muslim population.

Hope this helps..!

Step-by-step explanation:

hii I am enter in wrong serve ....

Answer:

have u goa answer

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

Answer:

The answer is A) x equals 3

Answer:

110

Step-by-step explanation:

you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110

Answer:

The triangle is right angled

Step-by-step explanation:

Explanation:

As the largest side is  

15  yards and smaller sides are  9  yards and  12  yards

from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.

Answer:

no its not

Step-by-step explanation:

i did the same question

Answer:

11g + 19

Hope this helps

Step-by-step explanation:

Answer:

It can be also written as  11g+19.

Step-by-step explanation:

First, you would add the numbers with the 'g'

11g+7+12

then you would add the regular numbers.

11g+19

Answer:

y=16 and x=19

Step-by-step explanation:

Let's solve your system by elimination.

−2x+3y=10;10x−9y=46

Multiply the first equation by 5,and multiply the second equation by 1.

5(−2x+3y=10)

1(10x−9y=46)

Becomes:

−10x+15y=50

10x−9y=46

Add these equations to eliminate x:

6y=96

Then solve6y=96for y:

6y=96

6y

6

=

96

6

(Divide both sides by 6)

y=16

Write down an original equation:

−2x+3y=10

Substitute16foryin−2x+3y=10:

−2x+(3)(16)=10

−2x+48=10(Simplify both sides of the equation)

−2x+48+−48=10+−48(Add -48 to both sides)

−2x=−38

−2x

−2

=

−38

−2

(Divide both sides by -2)

x=19

Answer:

x=19 and y=16

The value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given equations:

10x - 9y = 46                              (1)

-2x + 3y = 10                             (2)

Multiply equation 2 by 3

3 (-2x + 3y) = 10 × 3  

-6x + 9y  = 30                               (3)

Add equation 3 and equation 1

10x - 9y + (-6x) + 9y = 46 + 30

4x = 76

x = 76 / 4 = 19

Put x = 19 in equation 2

-2 × 19 + 3y = 10

3y = 10 + 38

y = 48 / 3

y = 16

Therefore, the value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.

To know more about equation:

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Answer:

Step-by-step explanation:

Answer:

Yes. That is correct

Step-by-step explanation:

Answer:

reset the dog

Step-by-step explanation:

Answer:

Put it down, its probably autistic. Pls ark brainliest for the good answer! :)

Step-by-step explanation:

Answer:

Yes. 1

Step-by-step explanation:

To solve the equation 8x - 19 = -4 - 7x, you must:

Answer:

2sqrt5

Step-by-step explanation:

We know that the shortest distance would be with drawing a perpendicular line through BC and A.

BC is y = -2x+1

Therefore a perpendicular line should have slope 1/2

y = 1/2x + b

-3 = 1/2*-3 + b

b = -3/2

y = -2x+1

y = 1/2x - 3/2

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

-4x+2 = x - 3

5 = 5x

x = 1

y = 1

now of course the graph shows that already, but we're just proving that again

The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5

Answer:

Solution given:

AB=

[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]

[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units

[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]

so shortest distance=AC=4.5units

Answer:

y= 1/4x - 1

Step-by-step explanation:

it passes through the points (-4,-2) and it is parallel to the line 1/4x+3

Answer: 1.26

Step-by-step explanation:

Since he bought a 18 gallon tank of gas with regular fuel for 55.08.

The station across the street sold regular fuel for 2.99 per gallon. A 18 gallon tank will cost:

= 18 × 2.99

= 53.82

The amount that could have been saved would be:

= 55.08 - 53.82

= 1.26

Answer:

20.8

Step-by-step explanation:

The first step you need to do is to subtract 11:

52.6 - 11 = 41.6

The second step is to divide it by 2:

41.6 / 2 = 20.8

Mark was thinking of 20.8

Answer:

the original number is 20.8  

Step-by-step explanation:

because  2x  +  11  = 52.6

2x = 41.6  -->x = 20.8

Answer:

y=-47

Step-by-step explanation:

12(y-8)=14y-2

12y-96=14y-2

-96=14y-2-12y

-96=2y-2

-96+2=2y

-94=2y

-94/2=y

-47=y

y=-47

Answer:

-47

Step-by-step explanation:

Answer:

Step-by-step explanation:

A)  multiplied by 12

B) Add 5

C) Minus 3

D) Divide by 5

Answer:

2

Step-by-step explanation:

Answer:

2, D

Step-by-step explanation:

Not only is it not in a line it doesn't hit any points(it curves)

Answer:

7.003 7.00289 7.00294 and 7.00301 I think this is correct good luck so sorry if it is not

Step-by-step explanation:

Cherie owes the employment agency amount of $1,320.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.

Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.

Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.

So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.

Therefore, she owes the employment agency $1,320.

Learn more about Multiplication operations here:

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Answer:

22

Step-by-step explanation:

Answer: oooo those seem like a good deal

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Not gonna explain or show work, because u didnt say

The answer is 1/9 in standard form, hope this helps:)

Answer:

68 cookies

Step-by-step explanation: