Graph each quadratic function by transforming the graph of f(x)=x squared. Describe the transformation.
Answers
Answer:
The transformation was the function went up 5 units, right two units, and a vertical stretch of 2.
Step-by-step explanation:
Related Questions
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range
Answers
Question:
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.
Answer:
(a)
[tex]Mean = 4[/tex]
[tex]Median=3[/tex]
[tex]Mean > Median[/tex]
(b)
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
[tex]SD> IQR[/tex]
Step-by-step explanation:
Given:
Data: 4, 1, 3, 10, 2.
Solving (a): The mean and the Median
The mean is calculated as follows:
[tex]Mean = \frac{1}{n} \sum x[/tex]
Where
[tex]n = 5[/tex] i.e 5 data
So, the expression becomes:
[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]
[tex]Mean = \frac{1}{5}(20)[/tex]
[tex]Mean = 4[/tex]
Calculating the Median:
First, arrange the order (ascending order):
[tex]Data: 1, 2,3,4,10[/tex]
Because n is odd
The median is represented as:
[tex]Median = (\frac{n+1}{2})th\ item[/tex]
[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]
[tex]Median = (\frac{6}{2})th\ item[/tex]
[tex]Median = 3rd\ item[/tex]
From the arranged data, the 3rd item is 3.
Hence:
[tex]Median=3[/tex]
By comparison, the mean is greater than the median because [tex]4 > 3[/tex]
Solving (b): Standard Deviation and IQR
The standard deviation is calculated as follows:
[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]
So, we have:
[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]
[tex]SD= \sqrt{\frac{50}{5}[/tex]
[tex]SD= \sqrt{10}[/tex]
[tex]SD = 3.2[/tex]
Calculating IQR
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Data: 1, 2,3,4,10[/tex]
In (a), we calculate the median as:
[tex]Median=3[/tex]
First, we calculate [tex]Q_1[/tex]
[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]
The first half is:
[tex]First\ Half = 1,2,3[/tex]
So:
[tex]Q_1 = 2[/tex]
First, we calculate [tex]Q_3[/tex]
[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]
[tex]Second\ Half = 3,4,10[/tex]
So:
[tex]Q_3 = 4[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 4 - 2[/tex]
[tex]IQR = 2[/tex]
So, we have:
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
By comparison, the standard deviation is greater than the IQR because:
[tex]3.2 > 2[/tex]
So,
[tex]SD> IQR[/tex]
Mrs. Martins class will participate ina math-A-thon to raise money for a class trip. The math-A-thon workbook has 100 math problems. Students can raise money based on the number of math problems they answer correctly or by accepting a donation without regard to the number of math problems answered correctly. Prizes are rewarded to students who raise $50 or more. Daylyn,a student in the class, answers 80 math problems correctly. His grandmother pays $0.25 per correct answer. His uncle gives him a donation. If daylyn receives $45 total from his grandmother and uncle, how much money does his uncle give him? Write an equation and solve to find your answer.
Answers
Answer:
$25
Step-by-step explanation:
First, you would do 80 x $0.25 = $20. (Meaning 80 math problems he answered correctly times the $0.25 he got for each one correct.)
Next, you do $45 - $20 which equals $25.
In conclusion, he gets $25 from his uncle.
Can someone help me please this is due? ASAP
Answers
Answer:
x=12
Step-by-step explanation:
since they are supplementary they will have a sum of 180 degrees
The equation should look like this- (5x+4)+(4x+80)=180
after solving the equation- you get x=12
in order to see if that is correct you would plug in 12 where x is in our equation (5x+4)+(4x+80). which does equal 180 when 12 is plugged in
Therefore, 12 is your answer
HELP ME PLEASE 30 POINTS ON THE LINE
Answers
Answer:
88
Step-by-step explanation:
First we do what is inside the parenthesis:
(6+2)=8
Then we do:
[tex]8^{2}[/tex]=64
So:
[tex]14+[64 + 10][/tex]
Then we do brackets:
14+{74}
Then we add:
88
Answer: 88
Step-by-step explanation:
14 + ((6 + 2^)2 + 10)
Remove parentheses.
14 + (6 + 2)^2 + 10
Simplify each term.
Add 6 and 2.
14 + 8^2 + 10
Raise 8 to the power of 2.
14 + 64 + 10
Simplify by adding numbers.
Add 14 and 64.
78 + 10
Add 78 and 10.
88
Solve: 3 1/2 - 1 2/3 =
Answers
Answer:
Exact Form:
11/6
Decimal Form:
1.83
Mixed Number Form:
1 5/6
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
11
6
11
6
Decimal Form:
1.8
¯
3
Mixed Number Form:
1
5
6
2. 6x + 29 = 5 (1 point)
-4
-18
204
-144
Answers
Answer:
x = -4
Step-by-step explanation:
6x + 29 = 5
+29 -29
------------------------
6x = -24
÷6 ÷6
---------------
x = -4
6(-4) = -24 + 29 = 5
help this is due soon but i can’t figure this out. i don’t remember being taught this
Answers
Step-by-step explanation:
Given
Volume (V) = 313 in³
π = 3.14
Height (h) = 16 in
Radius (r) = ?
We know.,
Volume of cone (V)
[tex]313 = \frac{1}{3} \pi {r}^{2}h [/tex]
[tex]313 \times 3 = 3.14 \times 16 \times {r}^{2} [/tex]
[tex]939 = 50.24 {r}^{2} [/tex]
[tex]18.69 = r^{2} [/tex]
[tex]r = \sqrt{18.69} [/tex]
r = 4.32 in
[tex]( hope \: it \: will \: help})[/tex]
1. True/False: A structure is a form, arrangement or built
2. Function is what its job is, what it's work is, what is it used for, etc.?
True/False?
3. Level of Organisms starts with cells. True /False?
4. Cell form tissues- tissues form organs-organs form organisms. True/
False?
5. There are External and Internal structures. True or False?
Answers
Answer:i know number one its true
Step-by-step explanation: thats all i know
2x^2-8x (please can you help me do this question quick) :)
Answers
Answer:
Step-by-step explanation:
[tex]2x^2-8x=2x times 2x-8x=4x-8x=-2x[/tex]
Hope this helps :)
What is the quotient of (x^3 + 3x^2 - 4x - 12) / (x^2 + 5x + 6)?
Answers
Answer:
The quotient is (x-2)
Step-by-step explanation:
Find answer for brsinlest
Answers
first quartile: 84
third quartile: 92
interquartile range: 8
please give brainlist if possible! glad i could help <3
Then,fill in the blank to add these numbers below
Answers
Answer:
the 1st number line and 29
Step-by-step explanation:
The second one starts at 21 and takes away which gives 13. which isnt the answer. When adding numbers, you go forward
help me please i’m failing lol
Answers
16) k=176 hope you get to a point were your not failing
18) X= 12
20) M= - 52
22) X = -13
24) A= -90
Hope that helps :)
If two angles are supplementary then they add to 180...Whats the converse inverse and contrapositive
Answers
Answer:
Converse: If two angles are supplementary then they add up to 180 degrees.
Inverse: If two angles are not supplementary then they do not add up to 180 degrees.
Contrapositive: If angles do not add up to 180 degrees, then the two angles are not supplementary.
Step-by-step explanation:
In logic the converse of an implication is obtained by reversing its two constituent statements. That is, for P → Q, then the converse is Q → P.
The inverse of a conditional statement involves the negation of both the hypothesis and conclusion. That is, for p → q, the Inverse is ~p → ~q note that ~ stands for NOT in the negation of the statement.
For a contrapositive of any conditional statement, we interchange the hypothesis and the conclusion of the inverse statement as shown in statement III in the answer above.
On Thursday, a local hamburger shop sold a combined total of 348 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Answers
Answer:
116 hamburgers
Step-by-step explanation:
divide 348 by 3. since cheese burgers were sold two times more than hamburgers, the answer would be 116.
Please please help me
Answers
7/8 - 1/4=
Explain how you got your answer
Answers
Answer:5/8
Step-by-step explanation: transform the expression 8 so 7-2/8 =5/8
Answer:
5/8.
Step-by-step explanation:
Which of the following processes in the water cycle causes the formation of clouds?condensation evaporation infiltration transpiration
Answers
It is A: Condensation.
Condensation is the process by which water vapor in the air is changed into liquid water. Condensation is a apart of the water cycle because it is responsible for the formation of clouds.
BRAINLIEST: the Spanish club sold homemade tamales to raise money for field trips their goal was to raise $400. on the first day, they made $100 the second day their sales totaled $143 how much money did the Spanish club need to make to reach their goal after the first two days of sales?
Answers
Answer:
the correct answer is 257
If y - 1 = 4x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
O {(1,4), (2, 8), (3, 12)}
{(4.1), (8,2). (12,3)}
{(0, 1), (1,5), (2, 9)}
{(1.0), (5, 1). (9. 2)}
(Flvs)
Answers
Combine this Polynomial:
(19x^2+12x+12)+(7x^2+10x+13)
A)26x^4 + 22x^2 + 25
B)26x^2 + 22x + 25
C)73x
D)73x^6
Answers
Answer: C) 26^2 + 22 + 25
Step-by-step explanation:
Eliminate the parentheses
Add the numbers
19^2+12+25+7^2+10
Combine Like Terms
26^2+12+25+10
Answer:
26^2+22+25
Please help me answer this!!!
Answers
Written in parametric form
M=4+2/3n
20 POINTS!!!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Answers
Answer:
you should put 20 points if you answer the question+ brainliest. if you dont people will think its free for example. I have a question you can answer to get your points back, just say something random. Sorry I couldnt help you but thanks for the points.
Step-by-step explanation:
A bird in the sky flies down.
It starts 700 feet above the ground.
Each second it gets 15 feet lower.
Answers
Answer:
Step-by-step explanation:
What is the rest of the equation? I will edit/fix the answer after you finish the equation.
can someone help me plz.
Answers
It costs $3 to bowl a game and $2 for shoe rental. a. Write an expression for the total cost (in dollars) of $g$ games. Expression: b. Use your expression to find the total cost of 8 games. Cost of 8 games: $
Answers
Answer: a. Total cost = 3g+2
b. The total cost of 8 games is $26.
Step-by-step explanation:
Given: Cost to bowl a game = $3
Shoe rental charge = $2 (One -time charge)
Total cost = (Cost to bowl a game) x (Number of games)+ (Shoe rental charge )
Let g= number of games, then the expression to find the total cost will be :
Total cost = 3g+2
To find the total cost of 8 games, put g=8, we get
Total cost = 3(8)+2
= 24+2 = $26
Therefore , the total cost of 8 games is $26.
Help meeeeeeeeeeplease
Answers
Answer:
The answer is 8/5. Hope you do great!:)
Step-by-step explanation:
If 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes?
Answers
Answer: 1/12
Step-by-step explanation:
Dan earns £292 over the course of a five-day week. How much is that per day?
Answers
Answer:
58.40
Step-by-step explanation:
292 ÷ 5 = 58.40
hope this helps...
Answer:
58.40
Step-by-step explanation:
292 divided by 5 = 59.40
What expression is equivalent to 30 divided (3 + x)
Answers
Answer:
10+x/3
Step-by-step explanation: