Answer:
The vertex form of the equation is [tex]y = -\frac{1}{3}( x-1)^{2} +1[/tex].
Step-by-step explanation:
You will use the equation [tex]y=a(x-h)^{2} +k[/tex] to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get [tex]y= a(x - 1)^{2} +1[/tex].
Then, we substitute the point as our x and y to get [tex]-2 = 9a+1[/tex] (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the [tex]9a[/tex] to get [tex]9a = 3[/tex]. Finally, divide by 9 on both sides to get [tex]a=\frac{1}{3}[/tex].
Now, substitute your [tex]a[/tex] back into the equation to get y = [tex]-\frac{1}{3}(x-1)^{2}+1[/tex].
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get [tex]y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}[/tex].
The two triangles below are similar. What is the similarity ratio of AABC to ADEF? (5 points)
2:1
1:2
2:5
5:2
A recipe for a batch of blueberry muffins calls for 3/5
the cup of blueberries. If Riley wants to make 1/2
a batch of muffins for herself and her tennis partner, how many cups of blueberries will she need?
Riley will need cups of blueberries.
Answer:
3/10
Step-by-step explanation:
Half of 3/5 is 3/10
Brainliest plss
Answer:
3/10
Step-by-step explanation:
You multiply 3/5 by 1/2.
3/5 x 1/2= 3/10
Hope I could help :)
(-4,-1),(-3,-1),(-2,-3),(-1,0),(-3,2 )IS IT AN FUNCTION OR NOT
Answer:
No it isn't a function one of the x values, -3, repeats
Step-by-step explanation:
20 POINTS!! PLS HELP ME 1.A television set is sold for $1998 and a 11% profit is made. Find the original cost of the television set.
Answer:
1800 is the original cost
Step-by-step explanation:
cost + 11% cost = 1998
Factor out the cost
cost *( 1+11%) = 1998
cost ( 1.11) = 1998
Divide each side by 1.11
cost = 1998/1.11
cost =1800
which of the following descriptions represents the transformation shown in the image? part 2b
Answer: b) rotation of 180°, reflection across y-axis
Step-by-step explanation:
The black triangle is in Quadrant IV.
A rotation of 180° will move it to Quadrant II.
The red triangle is in Quadrant I so you must reflect it across the y-axis.
The probability distribution below is:
a. negatively skewed
b. symmetric
c. positively skewed
Answer: NEGATIVELY SKEWED
Step-by-step explanation: I just took the assignment ;)
Answer:
A. B. A.
Step-by-step explanation:
negatively skewed
less than the median
greater than the median
Please help please :( I will really appreciate it thank you
Answer:
an Altitude
Step-by-step explanation:
Its altitude indicated by point A to line BC
Answer:
Im pretty sure that would be an altitude
Step-by-step explanation:
In the diagram, ABCD is a part of a right angled triangle ODC. If /AB/= 6 cm,
/CD/= 15cm, BC/= 8 cm, ZBCD = 90° and AB//DC, calculate, correct to 1 decimal
place, the:
2 points
1. height of triangle ODC;
Your answer
2 points
2. perimeter of triangle ODC.
Answer:
1) 13.3 cm
2) 48.3 cm
Step-by-step explanation:
1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.
Let OB = x, OC = OB + BC = x + 8
Therefore:
[tex]\frac{OC}{OB}=\frac{DC}{AB} \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm[/tex]
The height of triangle ODC = OC = x + 8 = 5.3 + 8 = 13.3 cm
2) Using Pythagoras theorem:
OD² = OC² + DC²
OD² = 13.3² + 15²
OD² = 401.89
OD = √401.89 = 20 cm
2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm
Rewrite the fraction in the sentence below as a percentage. Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .
Answer:
shawty a lil baddie
Step-by-step explanation:
i like ur mom bro
The percentage of salad bars offered to customers in 1998 is; 70%.
What is the percentage?The percentage refers to the value of a variable contained in a whole number.
The percentage is the ratio that a variable is contained in another.
Percentages, which are over 100, are depicted using the percentage sign (%).
Data and Calculations:
We are Given that Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .
7/10 salad bars were offered to customers,
The conversion to percentage = 70% (7/10 x 100)
Thus, the percentage of salad bars offered to customers in 1998 would be equal to 70%.
Learn more about percentages at ;
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when 7 is subtracted from 3 times a certain number , the result is 28. What is the number
7 multiply by three u get 21 then add it to the number 28 add u get the answer 49
Give the singular form :
1 . Bodies
2. Joys
3. loaves
4. coolies
5. keys
6. bushes
7. sheep
8. watches
9. storeys
10 . rays
11. feet
12. wives
13. children
14. lilies
15. fairies
Brainliest to whoever answers best and with a good explanation .
Thanks!!
Answer:
Given below hope it helps!
Step-by-step explanation:
The steps for changing from plural to singular are:
If there is an (s) after the word remove
If there is an ies after the word remove and add y
If there is ves remove and add f or fe
However there are a few exceptions and I will point it out in the answer:-
1) body
2) joy
3) loaf
4) coolie
(In this cooly won't make sense so we just remove the s)
5) key
6) bush
7) sheep
(The singular of sheep is also sheep)
8) watch
9) storey
10) ray
11) foot
(The singular is foot because no other rule applies to this word, this is an exception)
12) wife
13) child
(This is an exception too where we remove ren)
14) lily
15) fairy
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
=========================================================
How to get this answer:
Locate 6 on the x axis. Draw an arrow down until you reach the f(x) curve, then move to the left until you reach the y axis. We started at x = 6 and ended on y = -6. See the diagram below for this process in action.
So basically f(6) = -6. Visually the point (6,-6) is on the f(x) curve.
Through similar steps, we see that g(5) = -5
Therefore,
4*f(6) - 6*g(5) = 4*(-6) - 6*(-5) = -24 + 30 = 6
Work out the size of angle x and give reasons for your answer. Image attached.
Answer:
The value of X is 75°
<EFB +105°=180° (Being straight line)
<EFB=180-105
<EFB= 75°
X = <EFB = 75°. (corresponding angle)
A box contains 20 miniature golf putt-putt balls; 10 are
yellow, 6 are red, and 4 are pink. What is the probability of
picking a red golf ball, replacing it, and then picking a
yellow golf ball? Written as a percent?
Answer: The answer is provided below
Step-by-step explanation:
From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.
The probability of picking a red golf ball will be:
= 6/20 × 100
= 600/20
= 30%
If the red ball is replaced, the probability of picking a yellow golf ball will be:
= 10/20 × 100%
= 50%
. It takes Serina 15 seconds to drive to school. Her route is 16,000 meters long. What is Serina’s average speed on her route?
[tex]answer \\ = 1066.67m / s \\ solution \\ distance \: travelled = 16000 \: m \\ time \: taken = 15 \: seconds \\ speed = \frac{distance}{time} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{16000}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 1066.67 \: m/s \\ hope \: it \: helps[/tex]
Answer:
[tex] = 1,066.67m {s}^{ - 1} \\ [/tex]
Step-by-step explanation:
[tex]speed = \frac{distantce}{time} \\ = \frac{16000}{15} \\ = 1,066.67m {s}^{ - 1} [/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6? The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30. The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (3) minus 6 = negative 42. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (negative 2) minus 6 = 18. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (1) minus 6 = negative 18.
Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
The correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Expressions and valuesEquations are written by equating two expressions
Given the following equation -3x(5-4)+3(x-6)
Expand
-15x + 12 + 3x - 18
Collect the like terms
-15x + 3x + 12 - 18
-12x - 6
Hence the correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Learn more on equations here: https://brainly.com/question/2972832
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Which point is between points c and e
Answer:
the answer is D
Step-by-step explanation:
Can someone please help me??
Answer:
Step-by-step explanation:
[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\1)7^{-2}=(\frac{1}{7})^{2}\\\\\\2)(\frac{2}{3})^{-3}=(\frac{1}{\frac{2}{3}})^{3}\\\\=(\frac{3}{2})^{3}[/tex]
Answer:
1) D.
2) A
Step-by-step Explanation:
1) [tex]7^{-2}[/tex]
= [tex](\frac{1}{7})^2[/tex]
2) [tex](\frac{2}{3})^{-3}[/tex]
= [tex](\frac{3}{2})^{3}[/tex]
I need help with how to solve things like this. The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. the distance between the Elm and Symphony Stations is how many miles?
Answer:
8 miles OR 8.0 miles
Morgan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually. How much will Morgan have in the account after 5 years if $7,000 is deposited today?
Answer:
He'll have approximately $8723.3 on his account in five years.
Step-by-step explanation:
Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:
[tex]M = C*(1 + r)^t[/tex]
Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:
[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]
He'll have approximately $8723.3 on his account in five years.
find the value of k for which the quadratic equation 2x^-kx+=0 have equal roots
Answer:
I'll email it to you
Which line segment is correct for this answer to the question?
Answer:
Option (A). OB
Step-by-step explanation:
Angle bisector of any angle is a line segment that divides the angle into two equal parts.
From the given picture,
m∠MOB ≅ m∠NOB
(25 + 35)° ≅ (28 + 32)°
60° ≅ 60°
Therefore, OB is the line segment that divides ∠MON into two equal angles. (∠MOB and ∠NOB)
Option (A). will be the answer.
20. A certain conditional statement is true. Which of
the following must also be true?
A. converse
B. inverse
C. contrapositive D. all of the above
Answer:
C
Step-by-step explanation:
An animal shelter houses dogs, cats, and ferrets. There are 144 animals at the shelter. Of the animals, one fourth are dogs. Eight ninths of the remaining animals are cats. How many of the animals are ferrets?
Answer:
12
Step-by-step explanation:
1 - 1/4 = 3/4 (remaining animals which are cats and ferrets)
1 - 8/9 = 1/9 (means 1/9 of the remaining animals are ferrets)
1/9 x 3/4 = 1/12 (means 1/12 of the animals are ferrets)
1/12 x 144 = 12 ferrets
HELPP PLZZ
Choose the correct graph of the given system of equations.
y − 2x = −1
x + 3y = 4
Answer:
The one that says: One solution: (-1,1)
Step-by-step explanation:
y=2x-1
3=-1/3x+4/3
Can someone please help with this question.
Answer:
54cm³
Step-by-step explanation:
V=0.5*b*h
b = 3*9 = 27cm²
h=4cm
V=0.5*4*27=54cm³
2 families go to the theatre. the p family of 2 adults and 3 children pay £46. the l family of 3 adults and 5 children pay £76. work out thecost of an adult ticket and child ticket.
Answer:
child: 14
Adult : 2
Step-by-step explanation:
2A + 3C = 46------------eqn 1
3A + 5C = 76------------eqn 2
eqn 1 x 3 : 6A + 9C = 138----------- eqn 3
eqn 2 x 2: 6A + 10C = 152-----------eqn 4
eqn 4 - eqn 3: 1OC - 9C = 152 - 138
1C = 14
subst 1C = 14 into eqn 1
2A + 3(14) = 46
2A = 46 - 42
2A = 4
1A = 2
the sum of two binomials is 9x^2-4x. if one of the binomials is 3x^2-2x, which of the following choices is the other binomial? a) 6x^2-2x b) 6x^2-6x c) 12x^2-6x d) none
Answer:
B. 6x²-6x
Step-by-step explanation:
If the sum of two binomials is 9x²-4x, and we know that one of them is 3x²-2x, we must subtract 3x²-2x from 9x²-4x to find the second binomial.
9x²-4x-3x²-2x
Combine like terms
6x²-6x
write 10 examples of rectangle that you observed in your daily life
Answer:
-a book
-a flash card
-the american flag
-post-it
-pencil case
-calculator
-phone
-dollar bill
-tv
-ruler
Step-by-step explanation:
________________________________
Hey!!
Ten examples of rectangles that I observed in my daily life are as follows:
BoxtelevisionMobile phoneswhiteboardClipboardCassetteBagChocolateBiscuitRuler________________________________
URGENT PLEASE HELP ME I SUCK AT GEO
Answer: 225°
Step-by-step explanation:
Each rotation is 45°
From C to H, there are five rotations
5 * 45 = 225°
Answer:
D: 225 degrees
Step-by-step explanation:
You want to first find the value of each angle that comes in together at point P. To do this, you take 360 degrees/8 degrees. 360 since that is a central angle and 8 because there are 8 congruent angles that make up the central angle. You should get 45 degrees. Then since it takes 5 "45 degree turns" to get onto H, you would do 5 times 45 to get 225.
