Answers
Related Questions
Drag each equation and coordinate to the correct location on the table. Not all equations or coordinates will be used. In the table below, quadratic equations are given in standard form. Rewrite each equation in the form that reveals the maximum or minimum value, and then identify the coordinate point of that extreme value.
Answers
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:
Yun is curious what proportion of users will click an advertisement that appears on his website. He takes a
random sample of 200 users and finds that 34 of them clicked the advertisement. He's willing to assume
independence between users in the sample.
Based on this sample, which of the following is a 99% confidence interval for the proportion of users that click
the ad?
Answers
Answer:
Step-by-step explanation:
8g+7+3g+12 can be written as?
Answers
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
Dkdjhsshahuaiakaksssksjs
Answers
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:)
HELP HELP LOOK BELOW
Answers
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
Non linear??????????
Answers
Answer:
Yes. That is correct
Step-by-step explanation:
xxxxxxxxxxxxxxxxxxxxxx
Clint completly filled his 18 gallon tank of gas with regular fuel for 55.08. As he left the gas station he noticed the station arcross the street sold regular fuel for 2. 99 Per gallon how much money could have clint saved per gallon is he had gone to the station across the street
Answers
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
Assess why Sunni Muslims do not believe in the
Imamate - Please help!!
(100 points and will give brainliest - putting this in maths so ppl will see it!)
Answers
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:
Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency
Answers
Cherie owes the employment agency amount of $1,320.
What is the Multiplication operation?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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Solve the system of linear equations by elimination. 10x-9y=46 and -2x+3y=10
Answers
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.
What is equation?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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100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported
Answers
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
My guys do you thing pls help I will give brainliest
Answers
Answer:
22
Step-by-step explanation:
Zeke spent 12 minutes on the phone while routing 4 phone calls. In all, how many phone
calls does Zeke have to route to spend a total of 15 minutes on the phone? Assume the
relationship is directly proportional.
Answers
12/4 = 15/x
X=5
$18 for 3 bracelets; $30 for 5 bracelets
Answers
Answer: oooo those seem like a good deal
Step-by-step explanation:
What is x in the equation 5^{3-2x} = 5^{-x}
A) x = 3
B) x = 1
C) x = -1
D) x = -3
Answers
Answer:
The answer is A) x equals 3
Mark was thinking of a number. Mark doubles it, then adds 11 to get an answer of 52.6. What was the original number?
Answers
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
You just had dinner at your favorite restaurant. The total bill is $63.50 not including tax. What would your total be if you left a 15% tip and the sales tax of 9.5%?
Answers
15% of 63.50=9.525
9.5% of 63.50=6.0325
9.525+6.0325=15.5575
63.50+15.5575=79.0575
79.0575 rounds to 79.06
so $79.06
Because 63.5*0.15=9.525 and 63.5*0.095=6.0325. 9.525+6.0325=15.5575.
63.50+15.5575=79.0575 or $79.05
if I buy 52 packs of cookies and 16 cookies are in each pack how many cookies do I have all together .
Answers
Answer:
68 cookies
Step-by-step explanation:
Triangle DAC is isosceles with congruent sides AD and AC. Which additional
given information is sufficient for showing that triangle DBC is isosceles?
Select all that apply.
Answers
Answer:
A, C, E
Step-by-step explanation:
Welcome :)
The length of a planet's orbit around a star is approximately 24,130,000 km.
It takes the planet about 1440 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
Answers
hii I am enter in wrong serve ....
Answer:
have u goa answer
Step-by-step explanation:
if i have a dog and it barks what do I do
Answers
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:
Solve the equation below for y.
12(y−8) = 14y−2
Answers
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:
MARKING BRAINLIEST!!!!
Answers
Answer:
12
Step-by-step explanation
i really need help i’m going to fail so answer if you can ! <3
The commission of a sales representative can be modeled by C(x) = 4x -
10, where x is the number of items sold. If the sales representative sales 30
items, how much commission will they earn? *
options:
$20
$5
$120
$110
Answers
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
Pls help due ASAP ....
Answers
Which part of this graph shows a nonlinear relationship?
Answers
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)
Order from least to greatest 7.003, 7.00301, 7.00294, 7.00289 →
Answers
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:
A triangle has sides with lengths of 5 yards, 12 yards, and 15 yards. Is it a right triangle? PLEASE HELP!
Answers
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
identify the sequence
A. 12, 144, 1728
b. 0, 5, 10, 15, 20
c. 14, 11, 8, 5
d. 625, 125, 25, 5
Answers
Answer:
Step-by-step explanation:
A) multiplied by 12
B) Add 5
C) Minus 3
D) Divide by 5
Is 1 a solution for the linear equation 8x - 19 = -4 - 7x?
Answers
+4 = -4 - 7x
8x -15= -7x
+7x = -7x
15x - 15=
-15 = 15
15x= 15
x= 1
Answer:
Yes. 1
Step-by-step explanation:
To solve the equation 8x - 19 = -4 - 7x, you must:
Rearrange the terms: 8x − 19 = −4 − 7x TO 8x − 19= − 7x −4Add 19 to both sides: 8x - 19 = - 7x = 4 TO 8x - 19 + 19 = - 7x -4 + 19Simplify by adding the numbers: 8x = - 7x + 15Add 7x to both sides: 8x + 7x = - 7x + 15 + 7xSimplify by combining like terms: 15x = 15Divide by like terms: 15x / 15 = 15 / 15 = 1x = 1Simplify: x = 1