Given:
The equation is
[tex]y=x^2+2x+3[/tex]
To find:
The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].
Solution:
We have,
[tex]y=x^2+2x+3[/tex]
It can be written as
[tex]y=(x^2+2x)+3[/tex]
Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].
[tex]y=(x^2+2x+1)-1+3[/tex]
[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]
[tex]y=(x+1)^2+2[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].
All repeating decimals are irrational True or false
Answer:
True
Step-by-step explanation:
Answer: the answer is true sorry if its wrong
Step-by-step explanation:
have a nice day buddy
Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Enter the exact answer as a decimal.
The final statement is: Area of triangle is equal to 83.65 cm²
What is the Area of a Triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm
Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm
Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]
=[tex]\sqrt{6998.401}[/tex]
=83.65 cm²
Hence, The area of the triangle is equal to 53.65 cm²
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WILL GIVE BRAINLY IF CORRECT
A circle has its center at the point (1, -3) and goes through the point (-3, 0). Using this information, write the equation for the circle.
Answer:
(-3-1)^2+(0+3)^2=r^2
radius is 5 units
Step-by-step explanation:
(x-h)^2+(y-k)^2=r^2
We know values of all variables except r at the moment.
h is the x-coordinate of the center of the circle, and k is the y-coordinate.
x and y are coordinates of a point the circumference touches.
From there, just plug in the numbers and solve!
Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
(Aye, aye, captain)
I can't hear you
(Aye, aye, captain)
Oh Who lives in a pinneapple under the sea?
(Spongebob Squarepants)
Absorbent and yellow and porous is he?
(Spongebob Squarepants)
If nautical nonsense be something you wish?
(Spongebob Squarepants)
Then drop on the deck and flop like a fish
(Spongebob Squarepants)
Ready?
(Spongebob Squarepants)
(Spongebob Squarepants)
(Spongebob Squarepants)
(Spongebob Squarepants)
2x + 3 = -7 what is x
Answer: x=-5
Step-by-step explanation:
You would have to do the inverse to “undo” the equation.
So first you would do -7-3=-10
Then you would do -10/2=-5 to find x
Q. 1. Distinguish between 'primary data' and 'secondary data'. Which data is more reliable and why?
Q. 2. What are the various methods of collecting primary data? Explain any one method along with its
merits and demerits.
Q.3. Discuss the published sources of secondary data.
Q.4. Write short notes on: (i) Census of India; (ii) National Sample Survey Organisation.
Q.5. Discuss the precautions to be considered while making use of the secondary data.
Q. 6. What do you mean by a questionnaire? Discuss the principles which should be followed while
drafting a good questionnaire?
Q. 7. What do you mean by census method? Give its merits and demerits.
Q. 8. What is the meaning of sampling method? Briefly discuss the merits and demerits of sampling
method.
please answer me fast
please attempt the question not text me any thing for points
Answer:
Primary Data Secondary Data
Reliability and Suitability
Primary data are more reliable and suitable for the enquiry because it is collected for a particular purpose. It is less reliable and less suitable as someone else has collected the data which may not perfectly match our purpose.
Answer:
(2) Time-consuming This method is time-consuming as investigator personally visits the various places and meet different people to collect information.
3) Secondary data is usually gathered from the published (printed) sources. A few major sources of published information are mentioned below: Published articles of local bodies and Central and State Governments. Statistical synopses, census records and other reports issued by different departments of the Government.
4) National Sample Survey Organisation (NSSO) is the largest and a very prominent agency of India working for the collection of data on various economic variables such as education,health,literacy rates, etc. ... Census of India is responsible for the collection of data related to different demographic characteristics.
5)The investigator must ensure that the data are suitable for the purpose of enquiry. 2. Inadequate Data: Adequacy of the data is to be judged in the light of the requirements of the survey as well as the geographical area covered by the available data.
6)The principles to be followed while drafting questionnaire are: 1) The questionnaire must not contain many questions, as greater the questions, lesser will be the possibility of reply from respondents. 2) The questions should be brief and clear. 3) The questions should be arranged in a logical order.
7) Reliable and Accurate: Results based on census method are accurate and highly reliable. This is because each and every item of the population is studied. Less Biased: Results based on census method are less biased. It is because of the absence of investigator's discretion regarding the selection of sample items.
8) It allows us to get near-accurate results in much lesser time. When you use proper methods, you are likely to achieve higher level of accuracy by using sampling than without using sampling in some cases due to reduction in monotony, data handling issues etc.
Step-by-step explanation:
this is the correct answer you want
please follow me ☺️.
1. Primary data is much more reliable than secondary data. This is because primary data gives up-to-date information about a topic and is collected by doing research, avoiding the use of secondary sources which may include false and not up-to-date information.
2. The most common methods of collecting primary data are interviews, field observations, self-administered surveys, and experiments.
The experimental method:
merits:
-the researcher can have control over variables
-gains insight into methods of instruction
-can be used to determine what's best for the population
demerits:
-sample may not be representative
-human response can be difficult to measure
-subject to human error
---------------
5. Some precautions that should be considered when using secondary data are:
Reliable agency:
-must ensure that the agency that has published the data should be reliable
Method of collecting data used:
-The investigator should also be aware of the method that was used in collecting the data
-Sampling method may be biased depending upon the mode of selection of samples.
-All these should be ascertained before making use of the secondary data.
Suitability for the purpose of an enquiry:
-The Investigator must ensure that the data are suitable for the purpose of the present enquiry.
-The suitability of the data is determined by investigating the nature, objectives, time of collection, etc. of the secondary data.
Adequacy and accuracy to avoid the impact of bias:
-It is necessary to use adequate data to avoid biases and prejudices leading to incorrect conclusions.
---------------
Sorry, I didn't answer all of your questions, but I hope this helps.
Write an equation of a parabola opens upwards and has vertex (7, - 6).
Any help?
Answer:
f(x) = x² - 14x + 43
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (7, - 6 ) , then
f(x) = a(x - 7)² - 6
Since the parabola opens upwards then a > 0
let a = 1
f(x) = (x - 7)² - 6 ←in vertex form
f(x) = x² - 14x + 49 - 6
f(x) = x² - 14x + 43 ← in standard form
ilgram surveyed both a panel of Yale undergraduates and a panel of psychology professors before he conducted his original experiment. In these surveys, he found that __________.most people predicted that less than 1 percent of participants would go to 450 voltsmost people predicted that less than 10 percent of participants would go to 450 voltsmost people predicted that a majority of participants would go to 450 voltsstudents underestimated the percentage who would go all the way to 450 volts, while professors' estimates were fairly accurate
Answer:
The answer is "Choice A"
Step-by-step explanation:
Please find the numbering of the question in the attached file.
Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.
my brother needs help with this !
Answer:
1. 20
2. 35
3. 20
4. 20
Step-by-step explanation:
Are u serious..... ඩඩඩඩඩඩඩ
Which expression is equivalent to if no denominator equals zero
Answer:
B (1/x^2 - 4x + 3)
Step-by-step explanation:
You can first write the second equation as multiplication by multiplying by the reciprocal and then expand.
The result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]
Given the expression;
[tex]\frac{x+3}{x^2-2x-3} + \frac{x^2+2x-3}{x+1}[/tex]Factorize the quadratic function in the expression to have:
[tex]=\frac{x+3}{x^2-3x+x-3} \div \frac{x^2+3x-x-3}{x+1} \\=\frac{x+3}{x(x-3)+1(x-3)} \div \frac{x(x+3)-1(x+3)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \div \frac{(x+3)(x-1)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \times \frac{x+1}{(x+3)(x-1)} \\=\frac{1}{(x-3)(x-1)}[/tex]
Hence the result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]
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Please help me with this.
Answer:
105
Step-by-step explanation:
Can someone help me pleaseee. Alguien podría ayudarme porfavor
What is the degree of the polynomial below?
x ^6 +3 - 2x^2 + 4x^7 - 4x
O A. 7
O B. 6
C. 5
D. 4
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
How much interest will you earn by leaving $500 in a savings account for 3 years with an interest rate of 1.5%?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
: 522.5$
:
First calculate yearly interest
500 x 0.015 = 7.5
7.5 x 3(for 3 years) = 22.5
Then add them together!
500 + 22.5 = 522.5
!
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-
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.
Answer:
The crow eats more food per day.
Step-by-step explanation:
eagle eats 1 pound per day.
crow eats 3 pounds/2 days -> 1.5 pounds per day
1.5 > 1
The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is more than the measure of the smallest angle. Find all three measures .
Answer:
45degrees, 79egrees and 56degrees
Step-by-step explanation:
Complete question:
The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is 11 more than the measure of the smallest angle. Find all three measures .
Let the smallest angle be x
Let the largest angle be y
Let the third angle be z
Since the sum of angle in the triangle is 180, then x+y+z = 180 .. 1
If the measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle, this is expressed as;
x = y - 34
y = x + 34 ..... 2
If the measure of the third angle is 11 more than the measure of the smallest angle, this is expressed as;
z = x + 11 .... 3
Substitute 2 and 3 into 1;
x + (x+34) + (x+11) = 180
x+x+x+45 = 180
3x+45 = 180
3x = 180 - 45
3x = 135
x = 135/3
x = 45 degrees
From 2;
y = x+34
y = 45 + 34
y =79degrees
From3;
z = x+11
z = 45 + 11
z = 56degrees
Hence the measure of the angles are 45degrees, 79egrees and 56degrees
w3=24
Question 4 options:
w = 8
w = 72
w = 12
w = 6
Answer:
w=8
Step-by-step explanation:
i took the k12 test
2y +3<11
What is the largest value of y could be?
Answer:
Step-by-step explanation:
2y + 3<11 Subtract 3 from both sides
2y < 11 - 3
2y < 8 Divide by 2
2y/2 <8/2
y < 4
The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.
For example 3.8 is a possible answer. Try it
2*3.8 + 3 < 11
7.6 + 3 < 11
10.6 < 11
But is that the largest value possible? No.
For example
y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.
I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.
If an object is projected upward with an initial velocity of 64ft per second from ground level, then its height in feet t seconds after it is projected is a function defined by: h(t)= -16t^2 + 64t. how long after it is projected will it be 48 feet above the ground?
Answer:
not sure
Step-by-step explanation:
how long does it take to go and come from a kroger because my dad went to go get baby formula for me and im now 13 should i be worried orrr....
Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5
Pls help
Step-by-step explanation:
babababababababbababavavabababababa
If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am
Answer:
12am
Step-by-step explanation:
Add 6 hrs to 6pm, you will get 12am
Answer: 12
Step-by-step explanation:
What is the equation of the axis of symmetry
Answer:
x=3
Step-by-step explanation:
One seventh of a number is 12.
What is the number?
Answer:
84
Step-by-step explanation:
12 x 7 = 84
Answer:
84
Step-by-step explanation:
12÷ 1/7=84
PLEASE HELP ASAP
Two lines intersect in the figure.
What is the value of x?
Answer:
x=17°
Step-by-step explanation:
5x+6=91 (vertically opposite ∠'s equal)
5x= 91-6
5x= 85
x= 85/5
x= 17°
PLEASE HELP ME IN THIS I NEED HELP SO BAD!! IF YOU DINT KNOW THE ANSWER DONT TELL ME- PLEASE HURRY HELP ME (*꒦ິ⌓꒦ີ)
Answer:
18
Step-by-step explanation:
Take the 54. The cake reduces her size by 1/3 so you multiply 54*1/3 to get 18 inches or 1.5 feet tall. :)
please help!!
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
2(8x) = 64
x = 4
Simplify the expression. Explain each step.
5.3 + (W + 1.2)