This is from the same project that I was struggling with and was similar to the other problem but I couldn't figure it out.
Answers
9514 1404 393
Answer:
y = -1/4x^2 -3/2x +3/4
Step-by-step explanation:
You know that vertex form is ...
y = (1/(4p))(x -h)^2 +k
for a focus-vertex distance of p and a vertex of (h, k).
Here, the focus-vertex distance is 2-3 = -1 (difference of y-coordinates), and the vertex is (h, k) = (-3, 3). This means the vertex form equation is ...
y = -1/4(x +3)^2 +3
Expanding the square gives ...
y = -1/4(x^2 +6x +9) +3
y = -1/4x^2 -3/2x +3/4
_____
Additional comment
The square of a binomial is ...
(x +a)^2 = x^2 +2ax +a^2
Related Questions
1.Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20. What are the least numbers of packs you should buy in order to have the same number of plates, utensils, and cups?
Answers
Answer:
Least no of packs = 120
Step-by-step explanation:
Given that,
Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20.
We need to find least numbers of packs you should buy in order to have the same number of plates, utensils, and cups.
It means we need to find the LCM of 8,12,20
Prime factorisation of 8 = 2×2×2
Prime factorisation of 12 = 2×3×2
Prime factorisation of 20=2×5×2
LCM = 120
Hence, there are 120 least number of packs you should buy in order to have the same number of plates, utensils, and cups
Please help me thank you so much I appreciate it for the helping hand !!!!!
Answers
Answer:x=7
Step-by-step explanation:
Steps down below. Remember that angles on a straight line add up to 180 degrees
A boy had 72 coins and lost 25% of them How muy coins
did he have left?
Answers
Answer:
54 coins left
Step-by-step explanation:
72 x .25 = 18
72 - 18 = 54
Answer:
100% - 25% = 75%
72 x 0.75 = 54
He had 54 coins left
Step-by-step explanation:
Ok, to solve this question, first divide 72 by 100--- 72/100=.72
next, multiply .72*25 and u get--- 18
next subtract 72 and 18--- 72-18=54
the answer is the boy has 54 coins left
hope this helps!
(3, 4) and (5, -8)
a . 6
b . 1/2
c . 1/5
d . -2
Answers
Answer:
If you are looking for the slope, it equals -6
Step-by-step explanation:
(3,4) (5, -8)
[tex]\frac{4+8}{3-5}[/tex] = [tex]\frac{12}{-2}[/tex] = [tex]\frac{6}{-1}[/tex] = -6
Hey there!
The formula to this equation is: y2 - y1 /x2 - x1
• y2 = -8
• y1 = 4
• x2 = 5
• x1 = 3
EQUATION:
-8 - 4/5 - 3
-8 - 4 = -12
5 - 3 = 2
NEW EQUATION: -12/2
-12/2 = your answer
-12 / 2 = -6 because 2 • -6 = -12
Answer that you’re looking for: -6
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Guide to REMEMBER :
- Negative & Negative = Positive
- Negative & Positive = Negative
- Positive & Positive = Positive
- Positive & Negative = Negative
15) Miguel made $6,743 in February and $8,152 in March. Which is the best 4 estimate for the amount of money Miguel earned when rounding to the nearest hundred. *
Answers
Answer:
$14,900
Step-by-step explanation:
Given that,
Miguel made $6,743 in February and $8,152 in March.
We need to find the amount of money Miguel earned.
It is equal to the sum of amount made in February and March.
Sum = $6,743 + $8,152
= $14895
Nearest hundred :
Sum = $14,900
Hence, the total amount is $14,900.
If the perimeter of this triangle is 15 centimeters, what is the value of n
Answers
Answer:
n = 5/2
Step-by-step explanation:
Add all of the sides up to make an equation
(5n - 6) + n + (2n + 1) = 15
8n -5 = 15
8n = 20
n = 5/2
Answer:
[tex]0.4cm[/tex]
Step-by-step explanation:
[tex]n + 2n+1 + 5n-6 = 15\\[/tex]
[tex]8n -5 = 15[/tex]
[tex]8n = 20[/tex]
[tex]n = \frac{8}{20}[/tex]
[tex]n = 0.4[/tex]
[tex]\therefore[/tex] the value of [tex]n[/tex] is [tex]0.4cm[/tex]
Hope this helps :)
a service station has 92-octane and 98-octane gasoline. How many liters of each should be mixed to provide 12 liters of 96-octane gasoline needed for chemical research
Answers
we use the rectangle rule
96-92=4 parts of 92 octane
98-96=2 parts of 98 octane
4x+2x=12
6x=12
x=2
4x=8 liters of 92 octane
2x=4 liters of 98 octane
You have $50. You have some $5 bills and some $10
bills. What are the possible amounts of each that you
could have? Let x be the number of $5 bills and y be the
number of $10 bills.
Answers
Answer:
10x + 5y = 50
Step-by-step explanation:
LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)
Answers
Answer:
C is the answer?
Happy holidays
Please only correct answer
Answers
Answer:
second vala hai correct Answer
Answer:
[tex](\sqrt{x})^{2} = \sqrt{x^{2} }[/tex]
Evaluate the following expression when x = 3 and y = 4:
Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.
Answers
Answer:
You would get 14.6
3 squared (3×3) equals 9 and 4 cubed (4×4×4) equals 64. Adding 9 and 64 equals 73. 2 plus 3 equals 5 and 73 divided by 5 is equal to 14.6
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?
Include A.M. or P.M. in your answer Please help me fast!!,
Answers
A researcher wants to be sure that the sample in her study is not unrepresentative of the distribution of ethnic groups in her community. Her sample includes 300 whites, 80 African Americans, 100 Latinos, 40 Asians, and 80 others. In her community, according to census records, there are 48% whites, 12% African Americans, 18% Latinos, 9% Asians, and 13% others. Is her sample unrepresentative of the population in her community
Answers
Answer:
Yes. Her sample is unrepresentative of the population in her community.
Step-by-step explanation:
a) Data and Calculations:
Population Study Census % Representative Over/Under
Sample Sample Representation
Whites 300 48% 288 (48% * 600) 12
African Americans 80 12% 72 (12% * 600) 8
Latinos 100 18% 108 (18% * 600) (8)
Asians 40 9% 54 (9% * 600) (14)
Others 80 13% 78 (13% * 600) 2
Total 600 100% 600 0
b) There is selection bias in her sample. A representative sample of 600 is the subset of a population that seeks to accurately reflect the characteristics of the larger group. When the sample for each category does not accurately represent the characteristics or attributes of the population categories, then it is unrepresentative.
Sampling is the collection of randomly chosen data from the entire population to come to an end conclusion about the variable to be determined or known.
Yes, the sample is unrepresentative of the entire population.
The reason for the sample being unrepresentative of the entire population in her community is that the selected sample is deviating a lot from the population count.
As per the computation, there is selection bias in her sample. This is because the representative sample is 600 that represents the entire population and reflects the characteristics of the larger group.
The sample becomes unrepresentative when the sample chosen does not accurately represent the true attributes of the population.
To know more about sampling, refer to the link:
https://brainly.com/question/350477
how far is 10% of a 2000 kilometer trip
Answers
10 2000
1x200=
200
Find the Hcmof 40 and 60
Answers
help pls (fill in the blank)
Answers
2
14
56
substitute the values
Which of the following is not a rate?
35km/5 min 240miles/8 miles 95 words/1 minute 16oz/1 lb
Answers
Answer:
240 miles/ 8 miles
Step-by-step explanation:
you can't measure a mile per mile (/=per)
4/5 times 1/5 PLZ ANSER I NEED HELP
Answers
Answer:
.16 or 4/25
Step-by-step explanation:
Answer:
4/25
Step-by-step explanation:
[tex]\frac{4}{5}[/tex]×[tex]\frac{1}{5}[/tex]
multiply tops together and denominators together and get [tex]\frac{4}{25}[/tex]
An emergency medical technician earns $19.71 per hour. One month she earns a gross pay of $3326.06. How much did she make per week if it was a 4.5 - week month? Round off the answer to two decimal places also. How much did she make per week if it was a 4.5 - week month? Round off the answer to two decimal places.
Answers
Answer:
The emergency medical technician made $739.12 per week
Step-by-step explanation:
Given that:
Per hour pay = $19.71
One month earning of emergency medical technician = $3326.06
Weeks in the following month = 4.5
For per week income, we will divide the monthly salary by number of weeks in the month.
Per week income = [tex]\frac{3326.06}{4.5}[/tex]
Per week income = $739.12
Hence,
The emergency medical technician made $739.12 per week
Amplitude: 6 Period: 44
Phase shift:
Answers
Step-by-step explanation:
provide more details, please
pleas help u get 16 points and brainy. find the area
Answers
Answer:
153 in²
Step-by-step explanation:
first look at yellow area, then red area, then green area.
48 + 50 + 55 = 105 + 48 = 153 in²
hope this helps ^-^
A dozen plain hats cost $3.60. What is the unit rate of a hat? Write your answer as a comparison statement.
These are for exams please answer quick!!
Answers
Answer:0.3
Step-by-step explanation:
3.60/12=0.3
`y=2x+1` was a positive slope because...
Answers
Answer:
☆This is because ascending, not descending when looking on a graph.
☆The slope's number is a positive number.
A hummingbird's heart rate while resting is about 7,500 beats every 30 minutes. How many more beats does a hummingbird's heart beat in 60 minutes than a human baby's heart? It was on the last question
Answers
Answer:
This is what I got, hope u get it right
Step-by-step explanation:
The Giant Hummingbird beats its wings 10-15 times per second. The fastest recorded rate is about 80 beats per second on an Amethyst Wood- star Hummingbird.
85 is the answer........
Which expression is a possible leading term for the polynomial function graphed below?
8
4
2
2
0.48
O _4,5
O4x5
o 4x
Answers
Answer:
Answer is (A) -4x^8
Step-by-step explanation:
Please help with number 3 and 4
Answers
Answer:
3.
7d=7x7=49
2g=2x10=20
49-20 = 29
Step-by-step explanation:
4.
bc=8x2 = 16
c^3= 2x2x2 =8
bc - c^3 = 16-8 =8
Can some one help me I will give the brainliest
Answers
Answer:
j,z
Step-by-step explanation:
PLEASE HELP ME IM TAKING TIMED TEST I WILL MARK YOU AS BRAINLEST!!
Answers
Answer:-4.5, -0.5, 0.3, 0.7, 2.3
Step-by-step explanation:
Tara's graduation picnic costs $2 for every attendee. Write an equation that shows the
relationship between the attendees x and the cost y.
Answers
Answer:
y = 2x
Step-by-step explanation:
Y = 2x
The table shows the results of a random survey about the mayor's performance. The mayor
is running for re-election. A total of 2,400 people are expected to vote in the election. Based
on the data, which is the most likely result?
Answers
Answer:
the mayor will lose in a close race
Step-by-step explanation: