Answers
Answer:
[tex]3(x-1)^2 +6[/tex]
Step-by-step explanation:
Write [tex]3x^2-6x+9[/tex] in the form: [tex]x^2 + 2ax + a^2[/tex].
Factor out 3.
[tex]3(x^2 -2x+3)[/tex]
Add and subtract [tex]\left(-1\right)^2\:[/tex].
[tex]3\left(x^2-2x+3+\left(-1\right)^2-\left(-1\right)^2\right)[/tex]
You dont have to write this section down but its for notes:
[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]
[tex]x^2-2x+\left(-1\right)^2=\left(x-1\right)^2[/tex]
Continue writing this down to show work:
Complete the square
[tex]3\left(\left(x-1\right)^2+3-\left(-1\right)^2\right)[/tex]
Simplify
[tex]3\left(x-1\right)^2+6[/tex]
Related Questions
How to solve this
6x times 1/6
Answers
what is the domain of the function y=6x+2
a. all real numbers greater than or equal to zero
b.all whole numbers
c.all real numbers
d.all integers
please help i will give brainly
Answers
Answer:
c
Step-by-step explanation:
y = 6x + 2 is a straight line, that is a linear function
It is valid for all real numbers , then
domain is all real numbers
The domain of the function y=6x+2 is all real numbers.
What is a function?A relation is a function if it has only One y-value for each x-value.
The domain of a function is the set of all possible input values (also known as the independent variable).
In the function y = 6x + 2, x can be any real number.
There are no restrictions or conditions on the values that x can take.
The domain of this function is all real numbers.
Hence, the domain of the function y=6x+2 is all real numbers.
To learn more on Functions click:
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What number is 1/10 of 8,000,000
Answers
Answer:
8,00,000
Step-by-step explanation:
I think this is
The product of the numbers 1/10 and 8,000,000 will be 800,000.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The numbers are given below.
1/10 and 8,000,000
The product of the numbers 1/10 and 8,000,000 will be
⇒ (1/10) x 8,000,000
⇒ 800,000
The product of the numbers 1/10 and 8,000,000 will be 800,000.
More about the Algebra link is given below.
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Who on this app goes to Hixson High?
Answers
classify the following numbers as rational or irrational root 27
Answers
Answer:
Irrational
Step-by-step explanation:
[tex]\sqrt{27}=\sqrt{3*3*3} =3\sqrt{3}\\\\\sqrt{3} \ is \ a \ irrational \ number. \ So, \ 3\sqrt{3} \ is \ a \ irrational \ number.[/tex]
Answer:
Root 27 is Irrational.
As it doesnt comes in fraction or decimal.
It is non terminating non repitiong.
Its value will be 3.134635366363535
Find the degree of the monomial 3x4y3
Answers
The degree of the monomial 3x4y3 is 7
list of all numbers less than 30 are divisible by 8?
Answers
16
24
Hope this helps
Answer:
Step-by-step explanation:
The numbers less than 30 that are diviisible by 8 are,
24, 16, 8
i think this is all because these are the only numbers 8 can divide into to get a whole number.
I didn’t know how to put the question so the image below is the question
Answers
Answer:
b) (I think)
Step-by-step explanation:
What exactly is the question?
Hope this helps!
Have a nice day! :-)
Find the given angle. Show all work and round to the nearest degree.
Answers
Answer:
44°
Step-by-step explanation:
tanΘ = opposite / adjacent
tanΘ = 48 / 50
Θ = arctan(48 / 50)
Θ = 43.83° or 44°
For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?
A. 3.2 in.
B. 3.25 in.
C. 3.4 in.
D. 3.45 in.
Answers
Answer:
C.
Step-by-step explanation:
.
Answer:
c) 3.4 in
Step-by-step explanation:
The price of a printer is $349.00, plus 6% sales tax. What is the sales tax on this printer in dollars and cents?
Answers
The sales tax on this printer is $20.94
What is sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
Given that, the price of a printer is $349.00 having a 6% sales tax.
Sales tax = 6% of $349.00
$349.00 x 0.06 = $20.94
Hence, the sales tax on this printer is $20.94
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WOULD A KIND S0UL PLEASE HELP ME OUT???!!!!!!!!!!!!
triangle RST is reflected across the line y = x to form triangle R’S’T’. Find the coordinates of the points R’, S’ and T’.
please show your work so I can see if your answer makes sense!!!!
Answers
Answer:
(-2,1) (-8,2) (-4,7)
Step-by-step explanation:
just look at the points r's't
Can someone please help me I don’t know how to do this (Due today)
Answers
Answer:
The answers are in the photo taken
Step-by-step explanation:
Pls mark as brainlest
Which of the following describes the correct process for solving the equation 2x − 6 = 22 and arrives at the correct solution?
Answers
Answer:
Subtract 6 from both sides and then divide by 2. The solution is x = 8.
Thank You
Answer:
x=8
Step-by-step explanation:
is -17 a rational number or irrational number
Answers
-17 = -17/1, -34/2, etc.
-17 is rational.
Irrational numbers, like pi and sqrt(2), cannot be written as a fraction of integers.
Answer:
rational
Step-by-step explanation:
if a number can be written as a fraction, where p and q are integers and q is a non-zero number
the ratio of length and breadth of a rectangle is 3:1
Answers
Step-by-step explanation:
no her answer is lxb this answer is right for you
I don't understand what the question is asking.
Answers
Answer:
You are supposed to find how much 2 packages of chicken costs when each package is 12.36, 1/2 lb of broccoli when one pound costs 1.98, and 1 gallon of milk with 3.49 per gallon. After that, you need to find how much Susan paid with when she recieved 80 cents in change.
(2*12.36)+(1.98*0.5)+3.49+0.80=x
find out what x is to get the answer.
a) 7 + (15 – 6) simplify
Answers
Answer:
7+9
16
Step-by-step explanation:
first apply bodmas rule
Answer:
16
Step-by-step explanation:
Using BODMAS
Firstly we will simplify the brackets one
So (15 - 6)=9
Now 7+9=16
The equivalent matrices are
.
Answers
Answer:
Step-by-step explanation:
To be equivalent matrices must have the same dimemsions (rank)
dim A= (3,2)
dim B=(2,3)
dim C=(3,2)
dim D=(3,2)
C and D are equivalent since √4=2 !!!
Answer:
should be C and D, because-
Step-by-step explanation:
To be equivalent matrices must have the same dimension's
A= (3,2)
B=(2,3)
C=(3,2)
D=(3,2)
C and D are equivalent since √4=2
You have 2 five-dollar bills, 4 one-dollar bills, 2 quarters, I nickel, and 2 pennies. a. What is the value of the bills? b. What is the value of the coins? c. How much money do you have?
Answers
Answer:
a: [tex]\$ 14[/tex] or [tex]14[/tex] dollars
b: [tex]\$0.57[/tex] or [tex]57[/tex] cents
c: [tex]\$14.57[/tex] or [tex]14[/tex] dollars and [tex]57[/tex] cents
Step-by-step explanation:
a: We have [tex]2[/tex] [tex]\$5[/tex] bills, which have a total value of [tex]2*5= \$10[/tex]. We also have [tex]4[/tex] [tex]\$1[/tex] bills, which have a total value of [tex]4*1= \$4[/tex]. Adding these up gives us [tex]10+4= \bf \$14[/tex] or [tex]\bf 14[/tex] dollars for the total value of the bills.
b: Remember that a quarter is worth [tex]\$0.25[/tex], a nickel is worth [tex]\$0.05[/tex], and a penny is worth [tex]\$0.01[/tex]. Therefore, [tex]2[/tex] quarters are worth [tex]2*0.25=\$0.50[/tex], [tex]1[/tex] nickel is worth [tex]1*0.05=\$0.05[/tex], and [tex]2[/tex] pennies are worth [tex]2*0.01=\$0.02[/tex]. Adding these up gives us [tex]0.50+0.05+0.02=\bf \$0.57[/tex] or [tex]\bf 57[/tex] cents for the total value of the coins.
c: We know that the total value of the bills is [tex]\$ 14[/tex] (or [tex]14[/tex] dollars) from Part A and the total value of the coins is [tex]\$0.57[/tex] (or [tex]57[/tex] cents) from Part B. Therefore, we have [tex]14+0.57=\bf \$ 14.57[/tex] in total or [tex]\bf 14[/tex] dollars and [tex]\bf 57[/tex] cents.
Hope this helps!
How many solutions exist for -2|3x − 1| = 0?
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
B. 1
Step-by-step explanation:
-2|3x − 1| = 0
Divide by -2
|3x − 1| = 0
There is only one solution since 3x-1 must equal 0
3x = 1
x = 1/3
Answer:
The correct choice is option B. 1
See attached image for my step-by-step explanation, the final answer is in red.
Someone help pleaseeee
A employer, who started a new business, has promised his employees a minimum starting wage of $3, with an increase of $2 every 4 years. Sketch a graph of wage as a function of time for 16 years. Assume the wages take effect at the beginning of the year where the change is made. (HINT : use a step function to represent the function.)
Upload your graph in the box below.
Answers
Answer:
y = 3 for 0 <= x < 4
y = 5 for 4 <= x < 8
y = 7 for 8 <= x < 12
y = 9 for 12 <= x < 16
y = 11 for 16 <= x < 20
x represents the number of years of employment.
for example, when x = 4, the employee has been there a full 4 years and is entitled to an additional 2 dollars wage to make the total wage equal to 3 + 2 = 5.
your graph stops at x = 16 because that's the number of years being considered.
at x = 16, the wage will be 11 dollars.
the closed circle indicates the value of y is valid at that value of x.
an open circle indicates the value of y is not valid at that value of x.
for example, when x = 4, y = 3 is not valid anymore, but y = 5 is.
on the 16th year of employment, the employee is entitled to an additional 2 dollars wage and starts earning at a wage of 11 dollars.
at employment (x = 0), the employee starts earning a wage of 3 dollars.
at 4 years (x = 4), the employee starts earning a wage of 5 dollars.
at 8 years (x = 8), the employee starts earning a wage of 7 dollars.
at 12 years (x = 12), the employee starts earning a wage of 9 dollars.
at 16 years (x = 16), the employee starts earning a wage of 11 dollars.
x represents a full year of employment.
y represents the wage the employee is entitled to earn.
The sum of three numbers is 576. One of the numbers, n, is 25 percent more than the sum of the other two numbers. what is the value of n?
Answers
Answer:
Step-by-step explanation:
x + y + n = 576
When something is 25% larger than something else, the effect is the same as multiplying by 1.25. Let's try it with an example
20 + (25/100)* 20 = 20 + 500/100 = 20 + 5 = 25. Now if you multiply 20 * 1.25 you get 25 which is just what you should get.
n = 1.25(x + y) Divide by 1.25
n / 1.25 = x + y Substitute n / 1.25 for x + y in the above equation
n/1.25 + n = 576 Multiply everything by 1.25
n + 1.25n = 576*1.25 Combine the left to get 2.25
2.25 n = 576 * 1.25 Divide by 2.25
n = 576*1.25 / 2.25
n = 320
find the decimal equivalent of the fraction 1/6
Answers
Answer:
0.16666666666
Step-by-step explanation:
calculate the amount of ₹30000 at the end of 2 years 4 months , compounded annually at 10% per annum
Answers
Fv = 30,000*(1+10%/12)^28
Fv= 37,847.46
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $74.80 how many KWH of energy were used in your house this month?
Answers
Answer:
623.33 KWH
Divide 74.80 by .12
plz help me find the slope
Answers
Answer:
4/5
Step-by-step explanation:
Find 2 defined points like (-2,0)(3,4) in other to reach the point (3,4) from (-2,0) it moves 5 times front and 4 times up
Up is Y value
Front is X value
To solve it is adding the value that you get from moving it in this case
5 front X equals to 5
4 up Y equals to 4
Then is 4/5
because the formula is Y/X
a) A shopkeeper sold a mobile set for Rs 9,600 and made a loss of 5%. For what price should he sell it to gain 10%?
Answers
Step-by-step explanation:
Click this photo.Hope it is helpful...MARKING BRAINLIEST !!
which of the following are properties of all parallelograms select all that apply
Answers
answers
4) opposite sides are parallel
1) opposite angles are equal
5) all are quadrilateral
property's of a parallelogram
1)sum \: of \: angeles \: = 180 \\ 2)opposite \: sides \: are \: cogruent \\ 3)opposite \: angles \: are \: congruent \\ 4)cosecutive \: angles \: are \: supplymentary \\ 5)diaganols \: bisect \: \\ thnk \: you[/tex]
What is the answer ?
Answers
Answer:
27
Step-by-step explanation:
36 divided by 4 equals 9 which is what the sea turtle can swim in 1 second. Multiply 9 by 3 and you'll get 27.
Answer:
Step-by-step explanation: