Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
. Jordan is inviting 8 friends to his party. He wants to give each friend 2 maracas and have 2 for himself. Maracas come in boxes of 6. How many boxes does he need to buy? +
Answer:
3 boxes of maracas
Step-by-step explanation:
9 x 2 = 18
18 ÷ 6 = 3 boxes of maracas
Answer:
He needs to get three boxes.
Step-by-step explanation:
We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.
8 * 2= 16
You add the two maracas for himself to find the total maracas needed.
16+2= 18
Next you divide the amount of maracas needed by six because the are six maracas per box.
18÷6=3
The total number of boxes needed is three
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 lb of steak?
Answer: 12.20
Step-by-step explanation:
because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much cheese does she use for each pizza? At this rate, how much cheese will she need to make 15 pizzas?
Answer:
vkigiots88558s,utt8z85a85a5s85t8s84
Answer:
a. She uses 2.5 ounces per personal pizza
b. At this rate, she will need 37.5 ounces of cheese to make 15 pizzas
Step-by-step explanation:
a. 10/4= 2.5
b. (2.5)x15= 37.5
Can someone please help me with this question i have 3 minutes left
Answer:
It will cost 11 cents a day.
Step-by-step explanation:
1.98/18=11
plzz have brainiest
What is the ratio
18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours
Answer:
I believe the answer would be 9
Step-by-step explanation:
I am sorry if I am wrong let me know.
hi my question is what is 72x13
Answer:
936
7 2
× 1 3
2
2 1 6
7 2 0
9 3 6
Brainleist?
6. The measure of angle Q is 70 degrees. Find the measure of angle P.
Р
Q
R
Answer:
angle P measures 40 degrees
Step-by-step explanation:
triangle with 2 equal sides has 2 equal angles also (isosceles triangle)
if angle Q is 70, then R is 70
sum of all interior angles of a triangle is 180; therefore, angle P must be 180-140
Suppose a random sample of 50 college students is asked if they regularly eat breakfast. A 95% confidence interval for the proportion of all students that regularly eat breakfast is found to be 0.69 to 0.91. If a 90% confidence interval was calculated instead, how would it differ from the 95% confidence interval
Answer:
The 90% confidence interval would be narrower than a 95% confidence interval
Step-by-step explanation:
From the question we are told that
The 95% confidence interval is 0.69 to 0.91.
Generally the width of a confidence interval is dependent on the margin of error
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Here we see that
[tex]E \ \ \alpha \ \ Z_{\frac{\alpha }{2} } [/tex]
Here [tex]Z_{\frac{\alpha }{2} } [/tex] is the critical value of half of the level of significance .
This value increase as the value of confidence level increase and vise versa
So for 90% confidence interval , the confidence level is 90% , hence the value of [tex]Z_{\frac{\alpha }{2} } [/tex] will decrease which will in turn decrease the value of E , hence the width of the interval will reduce
So the 90% confidence interval is narrower than a 95% confidence interval when the sample proportion or sample mean is constant
If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is more than 0.89
Answer:
0.60515
Step-by-step explanation:
Given that:
Population proportion p = 0.9
Sample size = 64
Probability that sample proportion is more Than 0.89
P(p" > 0.89)
(p" - p) ÷ sqrt(p(1 - p) /n)
P(Z > p")
P(Z > (0.89 - 0.9) ÷ sqrt(0.9(1 - 0.9) /64))
P(Z > (-0.01) ÷ sqrt(0.9 * 0.1) / 64))
P(Z > (-0.01) / sqrt(0.00140625))
P(Z > - 0.26667) = 0.6051
Using the Z probability calculator :
P(Z > - 0.26667) = 0.60515
If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?
Answer:
72.13
Step-by-step explanation:
If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?
Answer:
67.55 rounded to the nearest cent.
Step-by-step explanation:
The answer is 67.55 because since 100% minus 8.7% is 85.5% and 85.5% of 67.55 is 67.55 rounded.
Subtract 8 feet from 9 yards, 1 foot.
7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foo
Answer:
6 yards 2 feet
Step-by-step explanation:
3 feet per yard making 9 yards and one foot = 28 feet
subtract 8 feet = 20 feet
6 yards 2 feet
What is the approimate volume of the cylinder? Use 3.14 for pie
Answer:
150.72
Step-by-step explanation:
8 x 6 x 3.14 = 150.72
Answer:
150.72
radius times pi
then you have the value of the inside
times it by the height
and you have the volume
Helpppppppppp NEED THIS ASAP!!!!!!!!!
Answer:
$230
Step-by-step explanation:
hope this helped, im sorry if im wrong too
Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.
Answer:
61
Step-by-step explanation:
7×6 = 42
42+ 19 = 61 Sorry if I'm wrong I tried
PLSSS HELPSSSSSSSSSSS
what is 10 times 1 5 in simplest form?
Answer:
150
Step-by-step explanation:
There is no way to write 150 in simplest form
that is the only way to write it unless you 2ant to write it like this 150/1
The equation of this line is y = 7x + 3. What would happen to the graph if the equation was changed to y = 2x + 6?
Answer:
From the graph,
The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)it is clear that the slope and y-intercept have been changed.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the equation of a line
y = 7x + 3
comparing with a slope-intercept form of the line equation
y = mx+b
Here,
The slope = m = 7
y-intercept = b = 3
Now, the equation changed to y = 2x + 6
y = 2x + 6
comparing with a slope-intercept form of the line equation
y = mx+b
Here,
The slope = m = 2
y-intercept = b = 6
Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.
The lines of both equations is also attached.
From the graph,
The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)it is clear that the slope and y-intercept have been changed.
At the farmer's market,
eight peaches (x) plus
three cantaloupe (y) cost
$63. Two peaches plus
three cantaloupe cost $27.
How much does each fruit
costo
Answer:
Cantaloupe = $6, peach=$5
Step-by-step explanation:
[tex]8x+3y=63\\2x+3y=27\\[/tex]
Subtract the first one from the second one
[tex]8x-2x+3y-3y=63-27\\6x=36\\x=6\\[/tex]
Plug in:
[tex]2(6)+3y=27\\12+3y=27\\3y=15\\y=5[/tex]
Hope this helps plz hit the crown :D
Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two
Answer:
step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.
Step-by-step explanation:
STEP 1: Move all terms not containing n to the right side of the equation.
[tex]2n=-12[/tex]
STEP 2: Divide each term by 2 and simplify.
[tex]n=-6[/tex]
(Identify the type of sampling method used.) A candidate for the senate creates an automated message that calls every third listed phone number and reminds them to vote for him in the upcoming election.
Convenience Sampling
Cluster Sampling
Systematic Sampling
Stratified Sampling
Answer:
Systematic Sampling
Step-by-step explanation:
Systematic sampling is one of the types of probability sampling method. It is an advanced form of simple random sampling. In this form, from the population of members, sample members are selected randomly. In this random selection, a starting point is fixed. The sample is created when the members are selected from the fixed intervals.
In the given excerpt, systematic sampling method has been used. Here, the sample has been created by selecting every third listed phone member. The interval has been created between in the sample size.
Help help it’s geometry I need help
Answer: X = 57.5
Step-by-step explanation:
3x - 65 + x + 15 = 180
4x - 50 = 180
4x = 230
x = 57.5
Answer:
3x-65 degrees
Step-by-step explanation:
Since the angles are vertical angles, y should equal the same value of the corresponding angle.
Find the area of a regular octagon with side lengths of 17.2 m and an apothem length of 20.8 m.
Answer:
Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number
Step-by-step explanation:
Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number
What is the origin and where is it located?
Answer:
the origin is where the graph starts which is located at 0,0
Step-by-step explanation:
Mr. Harris has 54.8 acres of land. Mr. Fitz has 0.35 times as many acres as Mr. Harris has. How many acres of land does Mr. Fitz have?
Answer: 19.8 acres
Step-by-step explanation:
multiply 54.8 by .35 to get 19.18
What is the relationship between vectors u = ⟨1, 0⟩ and v = ⟨0, –3⟩?
The vectors form an acute angle of approximately 48°.
The vectors form an acute angle of approximately 71°.
The vectors are orthogonal because the angle between them is 90°.
The vectors form an obtuse angle of approximately 132°.
Answer:
C) The vectors are orthogonal because the angle between them is 90°.
Step-by-step explanation:
got it right on edge :)
The vectors are orthogonal because the angle between them is 90°. Option C is correct.
What exactly is a vector?A vector is a quantity with a magnitude, and direction that follows the law of vector addition.
Given data;
u = ⟨1, 0⟩
v= ⟨0, –3⟩
The angle between the vector is found by the formula as;
[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]
Hence option C is correct.
To learn more about vectors, refer;
https://brainly.com/question/13322477#SPJ2
#SPJ2
Easy points
Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.
Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?
Answer:
35
Step-by-step explanation:
*I'm just gonna answer this*
When you are 70, your brother will be 67.
If you were six, and he was half of that, he was three, meaning he was 3 years younger than you.
ITS DUE IN LIKE 5 MINUTES PLEASE HELP
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution. Write your answer in the space below.
5. Solve the system of equations. Show your work. Write your answer in the space below.
I need help ASAP
Answer:
it will take 1/5 of a day for Amir to catch up to Jesse
Step-by-step explanation:
30x = 35x - 1
30x - 35x = - 1
-5x = -1
-5x/-5 = -1/-5
x = 1/5
Answer: brainliest pls
1. y = 35x
2. y = 30x + 1
3. y = 35x
y = 30 x + 1
4. Its more convenient to substitute y because It's easier.
35x = 30(x + 1)
5. 35x = 30x + 1
35x = 30x + 30
35x -30x = 30
5x = 30
x = 6 (30/5 = 6)
35 x 6 = 210 (y)
6. Both people have read 210 pages and it takes amir 6 days to catch up.
Step-by-step explanation:
Evaluate the expression for a = 3, b=12 , and c = 4.
8ab over 2bc
Answer:
1
Step-by-step explanation:
8*12=96
96*3=288
4*12=48
48*2=96
96/96=1
Answer:3
Step-by-step explanation:
Im assuming you meant 8ab/2bc
So adding all the numbers you'll have
8x3x12/2x12x4
You first reduce the 12 in the fractions making it
8x3/2x4
and then you reduce the 8 and 2 making it 4
so you'll have
4x3/4
One last time you reduce the two fours making the
answer: 3
2.
In an annual function of a school every student has to participate either in sport or
in music. Out of 180 students, if 120 participate in sport and 40 participate in both
activities, find,
(i) how many students participate only in music?
(ii) Represent the above information in a Venn-diagram
Answer:
1.) 60 students
11.) kindly check attached picture
Step-by-step explanation:
Given that:
Total number of students = n(Total) = 180
Number who participate in sport = n(Sport) = 120
Number who participate in both = n(Sport n Music) = 40
Number who participate only in Music =?
Let number who participate in Music = x
Hence, n(Music only) = x - 40
n(Sport only) = 120 - 40 = 80 students
Summing all should give us n(total)
n(sport only) + n(sport n music) + n(music only) = 180
80 + 40 + (x - 40) = 180
80 + 40 + x - 40 = 180
80 + x = 180
x = 180 - 80
x = 100 students
Therefore,
n(Music only) = x - 40 = 100 - 40 = 60 students
The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence
Answer:
Step-by-step explanation:
Answer: 1. heading and subheading
2. subheading
3. point-by-point
Step-by-step explanation:
Give the solution to the system.
-3x + 2y = 3
2x + y = -2
(_,_)
Answer:
(-1, 0)
I will solve your system by substitution.
(You can also solve this system by elimination.)
2x+y=−2;−3x+2y=3
Step: Solve2x+y=−2for y:
2x+y+−2x=−2+−2x(Add -2x to both sides)
y=−2x−2
Step: Substitute−2x−2foryin−3x+2y=3:
−3x+2y=3
−3x+2(−2x−2)=3
−7x−4=3(Simplify both sides of the equation)
−7x−4+4=3+4(Add 4 to both sides)
−7x=7
−7x
−7
=
7
−7
(Divide both sides by -7)
x=−1
Step: Substitute−1forxiny=−2x−2:
y=−2x−2
y=(−2)(−1)−2
y=0(Simplify both sides of the equation)