f(x) = 3x^2 - 9x + 2
What's the axis of symmetry?
What's the coordinate of the vertex?
Answers
Answer:
1) Axis of symmetry = [tex]\frac{3}{2}[/tex]
2) Vertex form = [tex]y=3(x-\frac{3}{2} )^{2} -\frac{19}{4}[/tex]
Rewrite in vertex form and use this form to find the vertex (h,k).
[tex](\frac{3}{2} ,-\frac{19}{4} )[/tex] (coordinates of the vertex)
Step-by-step explanation:
Vocabulary:
Axis of symmetry- A line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line.
Vertex- The point on an angle where the two sides intersect.
Answer
Thats the answer below!
Step-by-step explanation:
Related Questions
Use one-variable equations and inequalities to fill in the graphic organizer
Answers
Answer:
when you dont know what to do what do you do? Do you just stand there and act like nothing is happening when something is actually happening dont do that just stand still and wait for it to come to you its your chance dont be left out you go this dont be scared you go this go go go go go go go go go gog og go go ogg og og og og og og og og o
Step-by-step explanation:
Need this answer quick please.
Answers
Answer:
I= integ.of dx/(4+5sin^2 x)
On dividing by cos^2x in Nr and Dr.
I=integ.of sec^2 x.dx/(4sec^2 x +5.tan^2 x)
I=integ.of sec^2 x.dx/(4+4tan^2 x+5tan^2 x)
I=integ.of sec^2 x.dx/(4+9tan^2 x)
Let tan x= t
sec^2 x.dx = dt
I=integ.of dt/(4+9t^2)
let t =(2/3)p , dt =(2/3)dp
I=integ.of (2/3).dp/(4+4p^2)
I=integ.of (2/12)dp/(1+p^2)
I=(1/6) tan^-1(p) +C
I=(1/6).tan^-1(3t/2) +C
I=(1/6).tan^-1{(3/2)tan x } +C , Answer.
City Park is a right triangle with a base of 40 yd
and a height of 25 yd. On a map, the park has a
base of 40 in. and a height of 25 in. What is the
ratio of the area of the triangle on the map to
the area of City Park?
Answers
Answer:
Let's Convert yards into inches
Base = 40 yards = 1440 inches
Height = 25 yards = 900 inches
Base (Map)/Base (Actual)
40/1440 = 1 : 36
Height (Map)/Height (Actual)
25/900 = 1 : 36
I hope it helps you!
Step-by-step explanation:
Let's expand our knowledge even more by explaining.
The scale of the height and the width is 1 inch equals 1 yard.
the scale of the area would be 1 square inch equals 1 square yard.
for example:
the area of a triangle is equal to 1/2 * base * height.
the base on the map is 40 inches and the height on the map is 25 inches.
the area on the map is therefore 1/2 * 40 * 25 = 500 square inches.
the base in the real world is 40 yards and the height in the real world is 25 yards.
the area in the real world is therefore equal to 1/2 * 40 * 25 = 500 square yards.
the ratio of the area on the map to the area in the real world is 500 square inches / 500 square yards equals 1 square inch / 1 square yard.
that's 1 square inch to 1 square yard.
in general, if the scale in the linear measurements were a/b, then the scale in area would be (a/b)^2.
since your scale in linear measurements is 1/1, then the scale in area would be (1/1)^2 which is equal to 1/1.
assuming the scale in linear measurements were 1/2, then the scale in area would be (1/2)^2 = 1^2/2^2 = 1/4.
Saville Company has 10,000 shares of $100 par, 4% cumulative preferred stock and 100,000 shares of
$10 par common stock. All past dividends for preferred shareholders have been paid. Dividends
totaling $80,000 have been declared.
Determine the dividends per share for preferred and common stock for the year.
Question 10 options:
$4.00 and $4.00
$4.00 and $0.40
$2.00 and $0.40
$2.00 and $4.00
Answers
Answer:
$4.00 and $0.40
Step-by-step explanation:
Preferred dividend = $100 x 4% = $4 per share
$4 x 10,000 shares = $40,000
$80,000 paid - $40,000 preferred = $40,000 common dividend
$40,000 / 100,000 common shares = $0.40 per share
The dividends per share for preferred and common stock for the year is: $4.00 and $0.40.
Dividends per share for preferred and common stockDividends per share for preferred = $100 x0.04
Dividends per share for preferred = $4 per share
Common dividend=$80,000 -($4 x 10,000 shares)
Common dividend=$80,000 - $40,000
Common dividend=$40,000
Dividends per share for common stock=$40,000 / 100,000
Dividends per share for common stock = $0.40 per share
Inconclusion the dividends per share for preferred and common stock for the year is: $4.00 and $0.40.
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i need help pls i need to put my grades up before the end of the semester 20 pionts for who ever answers have a hood night from kentucky
Answers
Answer:
Step-by-step explanation:
a + 2 + a+2 + a + 2 = 24 Combine the left
3a + 6 = 24 Subtract 6 from both sides.
3a = 24 - 6 Combine
3a = 18 Divide both sides by 3
3a/3 = 18/3
a = 6
Answer:
1.
3a + 6 OR 3(a + 2)
2.
a = 6
Step-by-step explanation:
1.
(a + 2) + (a + 2) + (a + 2) = a + a + a + 2 + 2 + 2
= 3a + 6 or 3(a + 2)
2.
24 = 3a + 6
24 - 6 = 3a
18 = 3a
18/3 = 6
a = 6
sorry if I didn't show my working well enough
*will give brainliest for best answer*
The measure of an angle is 3°. What is the measure of its complementary angle?
Answers
Answer:
87
Step-by-step explanation:
3+87=90, whatever angle adds up to 90 is complimentary
A circular garden is enlarged so that the new diameter is twice the old diameter. What is the ratio of the original area to the enlarged area? Express your answer as a common fraction.
I do not understand WHY the answer is 1/4 I do not understand why it is k^2 and all that. HELP I am giving LOTS of points
Answers
Answer:
Explained briefly below.Step-by-step explanation:
For old circular garden:
take the radius as r.
then use the formula to find area of circle: πr² ......this is old garden area.
For new enlarged garden:
the radius is twice the old radius so, radius = 2 * r = 2r ......enlarged radius
now find area for this new garden: π(2r)² → 4πr²
In common fractions: (old garden)/(new garden)
: ( πr² ) / ( 4πr² )
: 1/4
Answer:
1/4Step-by-step explanation:
Original diameter is d and new diameter is D and:
D = 2dArea of original circle:
A₁ = πd²/4Area of enlarged circle:
A₂ = πD²/4 = π(2d)²/4 = πd²The ratio of areas:
A₁ / A₂ =πd²/4 ÷ πd² = 1/4 ÷ 1 = 1/4WILL GIVE BRAINLIEST
There are 2,367 teachers in a certain school district. 600 were polled asking if they felt computers in the classroom were beneficial to. 85% of the teachers polled felt that computers in the classroom were beneficial to students. What is the confidence interval for the population mean of teachers in this district that feel computers in the classroom are beneficial to students, using a 99% confidence level?
(81.25%, 88.75%)
(81.98%, 88.21%)
(82.14%, 87.86%)
(82.60%, 87.40%)
Answers
Hopefully this helps.
PLEASE HELP ASAP!!!!( 50 POINTS)
Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000 state-of-the-art pizza
oven. How many years ago did he make this investment? Show all your work and answer in a complete sentence.
Answers
next you would do 6000 divided by 240 which gives you 25
so the answer would be 25 years
Find the area of the circle. Give your answer in terms of x. C= pie over 7
Answers
Answer:
Assuming C stands for Circumference we will assume the circum is pi/7
Therefore x = 1/196pi
Step-by-step explanation:
First find the radius with C = 2 * r * pi
1/7pi = 2 * r * pi
r = (1/7pi)/2pi
r = 1/14
Now for the area we have A = r^2 * pi
A = (1/14)^2 * pi
A = 1/196 * pi
Principal Lopez asked her 500 students to vote on the school's annual gift. 300 students voted to donate a telescope for the science lab. What percent of the students voted to donate a telescope?
Pick the model that represents the problem.
What percent of the students voted to donate a telescope?
%
Answers
Using the percentage concept, it is found that 60% of the students voted to donate a telescope.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
The total amount is the number of students, which is of b = 500.300 voted to donate, hence a = 300.The percentage is given by:
[tex]P = \frac{300}{500} \times 100\% = 60\%[/tex]
60% of the students voted to donate a telescope.
More can be learned about the percentage concept at https://brainly.com/question/10491646
John and Jane are two brands of shoes. John sells for R7, 20 for 8 pairs while Jane sells for R7, 76 for 9 pairs. Which brand is the cheapest?
Answers
Answer:
Jane
Step-by-step explanation:
because she sells 9 pairs for 7,76
In what range do the closing costs on a home loan typically fall? a. 1% to 3% b. 3% to 5% c. 5% to 7% d. 7% to 10% Please select the best answer from the choices provided A B C D Mark this and return
Answers
Answer:
The answer to this question that you asked is 3%
so the complete answer is: b. 3%
Step-by-step explanation:
The closing costs can usually and typically range from 3%–6% of the home's purchase price. if you are buying a two-hundred thousand dollar house, your closing cost would could range from six-thousand to twelve-thousand dollars. The closing fees may vary depending on your state, loan type, and mortgage lender, so it's important to pay close attention to these fees.
hope this answered your question
If one cubic foot of water weighs 62 1/2 pounds how much do 3 1/5 cubic feet of water weighs?
Answers
Answer:
3 1/5 cubic feet of water weighs 200 pounds
Step-by-step explanation:
1. Take 62 1/2 into decimal form: 62 1/2 = 62.5
2. Take 3 1/5 into decimal form: 3 1/5 = 3.2
3. Multiple 62.5 by 3.2: 62.5 x 3.2 = 200
The answer is 200 pounds.
What is the length of TV?
1 unit
1 2/3units
2 1/2units
3 units
Answers
20% + 302 + 5x – 4 / 32 + 1 +1?
Answers
Answer:
hope this helps
Step-by-step explanation:
tara worked 55 hours and earned $453.75.let E equal taras total earnings and h equal the number of hours she worked . which of the following is the constant of proportionality
Answers
Explanation: You are looking to find something constant or something that stays the same. Something that does stay the same is how much money she earned each hour. So you would do 453.75/55. And then find k, or the constant of proportionality. Which is $8.25. You’re welcome!
Which table shows a function that is decreasing only over the interval (–1, ∞)?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.
Answers
Answer:0,1
Step-by-step explanation:
1 is the number in the x column that is in the same area as 0 they r vertical to each other
Find the numbered angles in each rhombus
Answers
Answer:
there are 4 angles on each rhombus so it would be 4! :D
Step-by-step explanation:
Please i need help
- 8s - 4 > 3s + 3.
Answers
Answer:
-8s-4>3s+3
-8s-(-3s)>3+4
-8s+3s>3+4
-5s/-5>7/-5
s>-7/5
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual
plane is 18 feet long with a wingspan of 13.5 feet. If the finished model will be 10 inches long, what will the
wingspan be?
O 13.3 in
O 7.5 in
O 3.75 in.
O 24.3 in.
Answers
Answer:
I would say D.
Step-by-step explanation:
yeah
Lexi has 2 cans of tennis balls. There are 3 tennis balls in each can. she buys 2 more cans. how many tennis balls does she now have?
Answers
Answer: 12 tennis balls
Step-by-step explanation: 4 cans of 3 tennis balls. 4 times 3 is 12.
It's actually 12.
He e is. Dis is vedy gude ansed.
Another real estate agent sold a house for $315,000 last week. If her commission is 1.25% of the selling price of the home, find the amount of her commission
Answers
Answer:
$3937.50
Step-by-step explanation:
315,000 * 1.25% = 315,000 * 1.25/100 = 3,150*1.25 = 3937.5
Match the simplified version of the number given. Note: You do not need to find the opposite for the number, just the simplified number. Use the following clues:
The opposite of a positive number is a negative number and vice versa.
The opposite of the opposite of a positive number is a positive number.
The opposite of the opposite of a negative number is a negative number.
1. -(-75)
-20
2. -(87)
-75
3. -(20)
75
4. -(-20)
-12
5. -(12)
12
6. -(-12)
20
7. -(75)
-87
8. -(-(87)
87
Answers
The matching forms of the numbers are as represented below upon evaluation;
-(-75) = 75-(87) = -87-(20) = -20-(-20) = 20-(12) = -12-(-12) = 12-(75) = -75-(-87) = 87Opening up parenthesisThe given numbers can be simplified by opening up the parenthesis as indicated above in which case,
The product of 2 negatives equals a positive signThe product of ,a negative and positive equals negative.Read more on parenthesis;
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Write 1,386 as the product of its prime factors.
Answers
Answer:
. A prime factor of x is a prime number that divides x correctly (so that the rest is equal to 0). 1386 = 2*3*3*7*11 in our situation. This result can be obtained by dividing the number (1386) by 2, 3, 5, 7, 11, and so on. You utilise the result you get every time you successfully divide it by a prime number (beginning with 2) and try to divide it using the same approach. When you can no longer divide a number by a prime number, you go on to the next prime number and try to divide it by that number. Finally, you multiply the prime numbers by which you were able to divide your number.
Step-by-step explanation:
Answer: We know the prime factorization of a number is the representation of a number in terms of multiples of its factors. Now to simplify the above factorization by applying the exponent rule to make the prime factorization simplest. So, the correct answer is “ $ \ 1386 = 2 \times {3^2} \times 7 \times 11 $ ”.
Step-by-step explanation:
Hope it helped you<3
In rectangle KLMN, KM = 9x+26 and LN = 84.5. Find the value of x.
Answers
Answer:
x = 6.5
Step-by-step explanation:
square is rectangle
9x+26 = 84.5
84.5 - 26 = 58.5
9x = 58.5
x = 58.5 divided by 9
x = 6.5
In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions A and B. (The questions A and B are posted in the picture with the figure). ( Please Don't Repaste Another Students Answer To Answer My Questions). Will Mark Brainliest .
Answers
Answer:
a) UT² = ST · (RS + ST)
b) UT = 6 in
Step-by-step explanation:
Secant : a line that intersects the circle at two pointsTangent : a line that touches the circle at one pointIf a secant and a tangent of a circle are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.
UT² = ST · (RS + ST)
Given:
RT = 9 inST = 4 inRS + ST = RT⇒ RS + 4 = 9
⇒ RS = 5
Using: UT² = ST · (RS + ST)
⇒ UT² = 4(5 + 4)
⇒ UT² = 36
⇒ UT = √36 = 6 in
Richard wants to install a paver patio in the shape shown. The dotted line represents a line of symmetry. How many square yards of pavers does Richard need to cover the entire patio?
1. 400
2. 290
3. 190
4. 180
Answers
Answer:
number 2: 290
Step-by-step explanation:
triangle: 11 x 20 = 220 ÷ 2 = 110
rectangle: 9 x 20 = 180
180 + 110 = 290
Richard will need 290 square yards of pavers to cover the entire patio.
∴ Option 2. 290 is the right option.
What is a trapezoid? How do we calculate its area?A trapezoid is a quadrilateral with a necessary pair of parallel lines.
The area of a trapezoid is calculated using the formula,
Area = (1/2)*(sum of parallel sides)*(perpendicular distance between the parallel sides)
What is a line of symmetry?A line of symmetry is the line that divides a figure into equal parts.
How do we solve the given question?The given patio is a quadrilateral. We are shown a line of symmetry. Seeing a single part among the two parts of the figure, we can see that it is a trapezoid with a pair of parallel lines, the shorter one 9ft, and the longer one 20ft. The perpendicular distance between them is 10ft (half of the base of the shown patio).
We calculate the area of this part,
= (1/2)*(9+20)*(10) = 0.5*29*10 = 145 square yards.
The area of the whole patio is twice of this part as both the parts are equal.
∴ Area of the patio = 2*145 = 290 square yards.
Learn more about the Area of the trapezoid and line of symmetry at
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#SPJ2
20089 (4 significant figures)
Answers
Answer:
20010
Step-by-step explanation:
20010
.
.
.
.
.
.............
Answer:
2000
Step-by-step explanation:
20089-2/0089
it can not be approximated
therefore it is 20000
Please help me, A candle is in the shape of a frustum (a cone with the top cut off). Calculate the volume of the candle to the nearest tenth of a cubic centimetre.
Answers
Answer:
Height = 8 cm
You will need this formula (see attached):
Volume = [PI * 8 * (2² + 2*4 + 4²)] / 3
Volume = [3.14159265 * 8 * (4 + 8 + 16)] / 3
Volume = 234.57 cubic centimeters
Source: http://www.1728.org/volcone.htm
Step-by-step explanation: