Answer:
[tex]y=2(x+6)^2+7[/tex]
[tex](-6,7)[/tex]
Step-by-step explanation:
[tex]y=2x^2+24x+79[/tex]
Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.
[tex]y=(2x^2+24x)+79[/tex]
Factor out the coefficient of the quadratic term,
[tex]y=2(x^2+12x)+79[/tex]
Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.
[tex]y=2(x^2+12x+36-36)+79[/tex]
Simplify,
[tex]y=2(x^2+12x+36)+79+(2)(-36)[/tex]
[tex]y=2(x+6)^2+79-72[/tex]
[tex]y=2(x+6)^2+7[/tex]
The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.
[tex](-6,7)[/tex]
A box contains 6 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.
please help :(
Answer: The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.
Step-by-step explanation:
What is the probability of choosing a pen from the first box? It is 5/8.
What is the probability of selecting a crayon from the second box? It is 3/12 = 1/4.
The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.
Write the rule that defines the function represented by the table
Answer:
y = 2 * 4^x
Step-by-step explanation:
We could define a wide variety of rules!
It turns out that any set of n (x, y) pairs can be modeled by a singular polynomial of degree (n-1) or less, and by infinitely many polynomials of degree n or more! And we're only talking polynomials!
Let's input it into a polynomial interpolation calculator:
[tex](27 x^4)/4 - (63 x^3)/2 + (225 x^2)/4 - (51 x)/2 + 2[/tex]
Well I don't love this.
Let's try to actually look for patterns. We see that the function is rapidly increasing. More and more, actually. Let's look for the ratios of each next y
8/2 = 4
32/8 = 4
128/32 = 4
512/128 = 4
BINGO!
So we can define the rule as:
y = 2 * 4^x
What’s 2 + 2?
A. 0
B. 1
C. 2
D. 4
Answer:
are u kidding me it's literally D --_--
Step-by-step explanation:
In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter
Answer:
28.15 cm²
Step-by-step explanation:
In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter
For the above question, we are given 2 sides and an angle.
The formula to find the area of ΔNOP
1/2 × a × b × sin θ
From the above question:
θ = 61°
a = 7.4 cm
b = 8.7 cm
Hence,
1/2 × 7.4 × 8.7 × sin 61
= 28.154008373 cm²
Approximately to the nearest tenth = 28.15 cm²
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Select three options. The inequality should be written as 25 s less-than 300. The inequality should be written as 25 s greater-than 300. The circle is open. The circle is closed. The arrow points left.
Answer:
A, C, E
Step-by-step explanation:
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Laura bought some tacos for her and her friend to split. She paid a total of $7.08 for 12 tacos. What was the cost of each taco
Answer:
its 0.59
Step-by-step explanation:
Because if you divide 7.08 and 12 then you get the answer.
1, 3, 5, 7,...
Find the 50th term of the sequence.
Answer:
99
Step-by-step explanation:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99
Just go up 2 numbers 50 times
De dónde se obtienen los datos generales complementarios que se utilizan para calcular la razones de actividad
Answer:
En el departamento de ventas.
Explicación paso a paso:
Los datos generales complementarios se pueden obtener del departamento de ventas donde están presentes los datos sobre ventas y nos ayudan a calcular los ratios de actividad. El índice de actividad se puede calcular dividiendo las ventas de la empresa por sus activos totales. Este índice de actividad indica la eficiencia de una empresa mediante el uso de sus activos disponibles para producir ventas. El índice de actividad también se denomina "Índice de gestión de activos". Los datos de ventas son necesarios para el índice de actividad que puede estar disponible en el departamento de ventas.
6th grade math help me pleaseee
3/4y+6=0 steps in order
Answer : y = - 8
3/4y+6=0
Step 1: Subtract 6 from both sides :
3/4y + 6 - 6 = 0 - 6
3/4y = -6
Step 2: Multiply both sides by 4/3 :
( 4/3 ) × ( 3/4y ) = ( 4/3 ) × ( -6 )
Final answer is y = - 8
The population of Jefferson City is 95000. Assuming a growth rate of 2.5% per year, what will the population be in 15 years?
Answer:
Yearly growth: 137,588
Continuous growth: 3,971,611
Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute
Answer:
80 ft
Step-by-step explanation:
Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.
For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,698.90
To find the monthly difference in median income find the median income of a woman with a bachelor's degree and one without it then subtract. To find the hourly difference find the hour income of women and men with an advanced degree and then subtract.
What is the median?The median refers to the value that is placed right in the middle of other values. For example, if the values are 5, 9, 4 the median is 9.
How to solve the first question?This question requires you to:
Find the median of a woman with a bachelor's degree and one with only high school and some college. To do this look for the values placed in the middle.Subtract both values.How to solve the second question?This quetion requiers you to:
Find the hourly income of a man and a woman with an advanced degree. To do this divided the week or monthly income into the number of hours they work.Subtract the two results to find the difference.Note: This question is incomplete because there is no information provided about women's income; due to this, I answered based on general knowledge.
Learn more about median in: https://brainly.com/question/300591
Answer:
the answer is 86
Step-by-step explanation:
i did the assignment on gradpoint
Write and solve an algebraic equation to find x triangle
(2x) (5x+12) (3X-32)
Answer:
30x squared 2 minus 248x squared 2 minus 768x
You and your friend are watching a television show . One of your friends ask,'How long are the commercials breaks during this show ?"
Time (minutes)
4.2 3.5 4.55 2.75 2.25
A . Use the mean of the values in the table to answer question
Commercial breaks average ___ minutes
3.45 (4.2+3.5+4.55+2.75+2.25)/5
the diameter of a sphere is 15 inches. what is the volume of the sphere?
Answer:
22222222222222222222222
Step-by-step explanation:
A politician running for office called random phone numbers to see what proportion of the vote he could anticipate getting. From his sample of responses, he estimated that he would get 47% ± 4% of the vote with 90% confidence. When calling, some people refused to answer his question about whether they plan to vote for him, some people never answered the phone (even after repeated calls), some people do not have landlines (or are unlisted), some people may not have told the truth since the politician himself talked to them, and some were not sure yet whom they plan to vote for.
What biases are present that cannot be accounted for through margin of error? Check all that apply.
voluntary response bias
undercoverage
response bias
nonresponse bias
sampling variation
Answer:
It’s B, C, D
Step-by-step explanation:
What is the slope of the line graphed below
Answer:
-5
Step-by-step explanation:
Assuming that each unit is 1, then it is rise over run, which is -5/1=-5
Isaac earns 7% commission as a salesperson. He's an old a coat that cost $69. How much commission did Isaac earn?
Answer:
4.83
Step-by-step explanation:
69$ is the sell price
7% is the commission rate
69$ x 7% = 4.83
HELPP PEOPLEE 24 POINTS!!! THIS IS MY 10TH TIME POSTING AND NO ONE HAS ANSWERED IT PLEASEE HELP QUICK!!!! BEFORE I HAVE A BREAKDOWN PLEASEE :’) PLEASEEE I NEED IT NOW NO LINKS NO JUST PUTTING ANSWERS TO GET THE POINTS NO BOTS I WILL REPORT !!Which of the following equations describes the line shown below? Check all
that apply.
(-5,6)
(-1,-1)
We can easily find the slope by using the slope formula when given two points: (-2,4), (1,13) -> (13-4)/(1-(-2)) = 9/3 = 3
Plugging into our point-slope form, we get y-y1 = 3(x-x1), then apply one of the points: y - 4 = 3(x+2)
Therefore B and E is right.
A brick wall is to form one side of a rectangular garden and three other sides me to be done by 40
feet of fencing Find the largest area the garden can have.
Answer:
80 probaly
Step-by-step explanation:
help with number one pls
Answer:
First it would be 10 and the second one would be 20 tell me if I’m right!!
Step-by-step explanation: I think it’s that I’m not really sure lol also have a great day :D
can someone please help me is the answer -1
Answer:
I Think It is -1
PLS HELP DUE SOON ITS 4 PROBLEMS 50 POINTS
Answer:
3)
∠1 = 65°
∠2 = 65°
∠3 = 25°
XC = 6.5
BX = 6.5
AC = 13
DB = 13
AB = 5
BC = 12
2)
∠N = 142°
∠L = 142°
∠P = 38°
∠M + ∠N = 180°
4)
∠1 = 47°
∠2 = 90°
∠3 = 43°
PO = 12
OL = 12
ML = 13
DP = 13
5)
∠1 = 45°
∠2 = 45°
∠3 = 45°
∠4 = 90°
BC = 12
AB = 12
DC = 12
EB = 8.5
DB = 17
EC = 8.5
PLZ HELP ILL MARK U BRAINLIEST
Answer:
D) 9.2 ft
Step-by-step explanation:
Hope I helped :)
PS: I have a beautiful song for all of you :)
Mr.Beast 6000, oh
Mr.Beast 6000, oh
Mr.Beast 6000, yeah, you know his name
He changed it once or twice, but I think it's here to stay
His thumbnails were made in Paint
But if you ask me, I think they're kind of quaint
Mr.Beast 6000, oh
Mr.Beast 6000, oh
His random videos are the name of the game
Some might say they're his ticket to fame
The occasional intro may not make sense
But we all get a laugh at their expense
Mr.Beast 6000, oh
Mr.Beast 6000, oh
Mr.Beast, oh
Mr.Beast, oh
Mr.Beast, oh
Mr.Beast, oh, 6000
Mr.Beast 6000
Answer: i think its the second one
Step-by-step explanation:
quick help plzz!!!!!!!
Find the volume of the cone. Round your answer to the nearest tenth.
8 m
8 m
Answer: your answer is 536.2 hope it helps
Step-by-step explanation:
1/3 x 4/7? first person to answer gets brainliest!!
Answer:
4/21
Step-by-step explanation:
Laney is making gift bags with pencils and candy bars.
The pencils come in packages of 12.
• The candy bars come in packages of 10.
• Each gift bag will have the same number of pencils.
• Each gift bag will have the same number of candy bars.
How many packages of each will Laney need to buy in order to have no candy bars or pencils left over?
O A. 12 packages of pencils, 6 packages of candy bars
OB. 5 packages of pencils, 10 packages of candy bars
O C. 6 packages of pencils, 5 packages
candy bars
O D. 5 packages of pencils, 6 packages of candy bars
Answer:
Choice D
Step-by-step explanation:
Choice A
12 x 12 = 144 pencils
6 x 10 = 60 candy bars
Choice B
5 x 12 = 60 pencils
10 x 10 = 100 candy bars
Choice C
6 x 12 = 72 pencils
5 x 10 = 50 candy bars
Choice D
5 x 12 = 60 pencils
6 x 10 = 60 candy bars
Huilans age is three times Thomas's age. the sun of their ages is 40. what is Thomas's age?
Answer:
Step-by-step explanation:
Huilan = H
Thomas = T
H = 3T
T+3T = 40(This is the sum)
4T = 40
4T/4=T
40/4=10
T=10
