x squared + 12 x + 3 = 7 solve by completing the square
Answers
ax^2 + bx + c
x^2 + 12x + 3 = 7
x^2 + 12x = 4
Take b, half it, then square it--
x^2 + 12x + 36 = 40
That equation becomes
(x+6)^2 = 40
+ 6 = ± (square root of 40)
= 0.324555
= −12.3246
Answer:
1/6?
Step-by-step explanation:
Related Questions
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
How many solutions does the system have? { � = 9 � − 5 � = 9 � + 6 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=9x−5 y=9x+6 Choose 1 answer: Choose 1 answer: (Choice A) Exactly one solution A Exactly one solution (Choice B) No solutions B No solutions (Choice C) Infinitely many solutions C Infinitely many solutions
Answers
Option (C) Infinitely many solutions
Select the statement that correctly describes the relationship between these two sequences: 1, 2, 3, 4, 5 and 10, 20, 30, 40, 50.
a
Each term in the second sequence is 10 times the corresponding term in the first sequence.
b
Each term in the second sequence is double the corresponding term in the first sequence.
c
Each term in the second sequence is 20 times the corresponding term in the first sequence.
d
Each term in the first sequence is double the corresponding term in the second sequence.
Answers
Answer:
a
Step-by-step explanation:
please help will mark brainliest
Answers
Answer:
I think its c. Can't really see the others.
Hope this helps :)
-ilovejiminssi♡
What practical effect does Discovery impose on the Right of Occupancy?
Answers
Answer:
discovery impose on the right of the number line
Step-by-step explanation:
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
The dot plots below show the scores for a group of students for two rounds of a quiz:
Which of the following inferences can be made using the dot plots?
A. The range of each round is the same.
B. There is no overlap between the data.
C. Round 1 scores were higher than round 2 scores.
D. Round 2 scores were lower than round 1 scores.
Answers
Answer: A. The range of each round is the same.
Step-by-step explanation:
Below shows the total score for both rounds. As you can see the totals for both rounds are very close so their range is most likely the same.
Round 1
(2 x 2) + (3 x 3) + (4 x 2) + 5 = 26
4 9 8
Round 2
(3 x 2) + (4 x 3) + (5 x 2) + 2 = 30
6 12 10
Think about the sets of rational numbers, integers, and whole numbers.
(a) Create a graphic organizer or Venn diagram that shows how rational numbers, integers, and whole
numbers are related. Be sure to label each section properly.
(b) Choose two numbers that are whole numbers and place them in the proper location on the diagram.
(c) Choose two numbers that are only integers and not whole numbers and place them in the proper location on the diagram.
(d) Choose two numbers that are only rational numbers and not integers and place them in the proper location on the diagram.
Answers
Answer:
A'
Step-by-step explanation:
i think it is, sorry if im wrong
1.
Alice is buying wallpaper to cover one of the walls of her room. The area of the
wall she is covering is 84 square feet. The width of the wall is 7 feet. What is the
length of the wall?
Answers
Answer:
12 feet
Step-by-step explanation:
Area of a Rectangle: l × w
84 ft² = l × 7 ft
Length = 84 ft² ÷ 7 ft = 12 feet
Hope this helps.
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
#SPJ1
The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
https://brainly.com/question/30721594
Alan removed fish from his pond each day for days. What was the total change in the number of fish in the pond?
Answers
Alexis ordered an ice cream cake from Molly Moo Creamery. The box that it was packed in was a rectangular prism. The dimensions of the box are shown in the diagram.
What is the total surface area of the box of in square inches?
Answers
Simon used mixed nuts and other ingredients to make 5 cups of trail mix. The chart below shows the nutritional facts for mixed nuts. Nutritional Facts Mixed Nuts (without salt) 1 oz Calories 124.5 Fat 10.5 g Carbohydrates 5.25 g Sodium 2.25 mg Which is the best method to find the amount of carbohydrates in 3 ounces of mixed nuts? multiply 3 times 5.25, divide 5.25 by 5, multiply 5 times , divide 5.25 by 3
Answers
Answer:
Its A
Step-by-step explanation:
the answer above me
A quality control inspector rejects 253 can openers from a batch of 19,354. What is the experimental probability that a can opener will pass inspection?
Round your answer to the nearest hundredth.
Answers
Answer:
0.99
Step-by-step explanation:
To find the experimental probability, divide the number of can openers that passed inspection by the total number of can openers in the batch:
Passed inspection: \(19,354 -253=19.101\)
Experimental probability: \(19,101\)÷\(19,354=0.987\)
Which rounded to the nearest hundredth is 0.99
19354-253=19101
19101/19354=0.987
Now round to nearest 0.99
write an equation of the line that passes through (-5,-6) and is perpendicular to x + y =6 (and show work)
Answers
Y=-6
X=-5
-6=6-5
-6=-1
Find the sum of 5.21 × 1019 and 3.149 × 1017.
8.359 × 1019
5.24149 × 1019
5.24149 × 1036
8.359 × 1036
Answers
Answer: 8511. 523
Step-by-step explanation:
Re write the equation:
(5.21 x 1019) + (3.149 x 1017)
= 8511. 523
The time between a flash of lightning and the sound of its thunder can be used to estimate the distance from a lightning strike. The distance from the strike is the number of seconds between seeing the flash and hearing the thunder divided by 5. Suppose you are 17 miles from a lightning strike. Write and solve an equation to find how many seconds there would be between the flash and thunder.
Answers
Answer:
(b) t/5=17, so t is about 85 seconds
Step-by-step explanation:
The question is saying , the distance of the strike(17) is the number of seconds(t) divided by 5
Fifteen minus three to the power of two
Is this correct please help thank you
15 - 3 to the power of 2
15 - 3x3= 9 15-9= 6
Answers
Hope this helps!
(Don’t forget to mark branliest if it is correct :) )
Answer:
The answer 6
3x3=9
15-9=6
So you are correct
Find x and y. pls help
Answers
Answer:
y = 21
x = 8
Step-by-step explanation:
AB = 180
27 + 3y = 90°
-27 -27
-----------------------
3y = 63
÷3 ÷3
--------------
y = 21
x + 27 + 3y + 8x + 18 = 180
9x + 45 + 3(21) = 180
9x + 45 + 63 = 180
9x + 108 = 180
-108 -108
-----------------------
9x = 72
÷9 ÷9
----------------
x = 8
I hope this helps!
X = 8
We can figure out Y by finding the right angle. A right angle is 90 degrees so we start out with:
90-27
Then,
63/3
21.
Do the same for X to get 8
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
Answers
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
Which line plot displays a data set with an outlier?
Responses
An untitled line plot from 11 to 19. The plot displays the following values as dots above the corresponding value on the number line. One dot at 12. Two dots at 13. Two dots at 14. Four dots at 15. Two dots at 16. Two dots at 17. One dot at 18.
Image with alt text: An untitled line plot from 11 to 19. The plot displays the following values as dots above the corresponding value on the number line. One dot at 12. Two dots at 13. Two dots at 14. Four dots at 15. Two dots at 16. Two dots at 17. One dot at 18.
An untitled line plot from 10 to 21. The plot displays the following values as dots above the corresponding value on the number line. One dot at 11. Three dots at 13. Two dots at 14. Three dots at 15. Two dots at 16. Three dots at 17. One dot at 18. One dot at 20.
Image with alt text: An untitled line plot from 10 to 21. The plot displays the following values as dots above the corresponding value on the number line. One dot at 11. Three dots at 13. Two dots at 14. Three dots at 15. Two dots at 16. Three dots at 17. One dot at 18. One dot at 20.
An untitled line plot from 10 to 24. The plot displays the following values as dots above the corresponding value on the number line. Two dots at 11. Three dots at 12. Four dots at 13. Two dots at 14. Three dots at 15. One dot at 16. One dot at 23.
Image with alt text: An untitled line plot from 10 to 24. The plot displays the following values as dots above the corresponding value on the number line. Two dots at 11. Three dots at 12. Four dots at 13. Two dots at 14. Three dots at 15. One dot at 16. One dot at 23.
An untitled line plot from 10 to 19. The plot displays the following values as dots above the corresponding value on the number line. Three dots at 11. Three dots at 12. Three dots at 13. Three dots at 16. Three dots at 17. Three dots at 18.
Answers
Answer:
um im quite sure its the 2nd plot 10-21
Step-by-step explanation:
bc of ur description
Mama Mia’s Pizzeria used 68 ounces of mozzarella cheese to make pizza.
How many pounds of mozzarella cheese did they use?
Responses
A 12.512.5
B 4.254.25
C 6.86.8
D 17
Answers
Answer:
B.
Step-by-step explanation:
I looked up ounces to pounds and used a calculator.
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
A cylindrical cake is made in a pan that has a diameter of 10
inches and a height of 2 inches. What is the total surface
area of the icing on the cake?
Answers
141.37 square inches
Answer:
about 141.4 square inches
Step-by-step explanation:
You want the area of icing on a cake that is 10 inches in diameter and 2 inches high.
IcingThe icing on a cake covers the lateral surface area and the area of the circular top. In terms of diameter, the sum of those areas is ...
icing area = πdh +(π/4)d² = πd(h +d/4)
icing area = π(10 in)(2 in + (10 in)/4) = π(10 in)(4.5 in)
icing area = 45π in² ≈ 141.4 in²
The area of icing on the cake is about 141.4 square inches.
__
Additional comment
If you use 3.14 for π, you get 141.3 square inches.
The attachment shows the "pi button" value. We have rounded to tenths, The full precision result is given so you can round to your checker's requirements.
<95141404393>
HELP! A student starts a walk at (−6, 10). If the student walks 4 miles north, south, east, or west, which of the following could be their location at the end of the walk?
A. (10, −6), (6, −6), (−2, 14), (−10, 14)
B. (4, 10), (−14, 10), (−6, −2), (−6, 6)
C. (−6, 4), (−6, 6), (−2, 10), (4, 10)
D. (−10, 10), (−2, 10), (−6, 14), (−6, 6)
Answers
Geometry help ASAP BRAINLIEST Fastest person thanks
Answers
Answer:
1. 18 cm sq
2. 140 in sq
3. sorry i don't know
4. 320 in sq
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Giving Branliest for answers with a complete explanation!!!!
SC.6.E.6.28.
South Florida is surrounded by salt water.The need for fresh drinking water has increased as the population has exploded.Only 10% of our water comes from surface waters, the other 90% is pumped up from ground water sources.Where do residents of South Florida get the majority of their drinking water?
A. deltas
B. aquifers
C. sinkholes
D. lakes
Answers
Answer: aquifers
Step-by-step explanation:
Aquifers are made up of layers of porous rock, like limestone that is good for holding water. Florida uses these each day.
Answer: The majority comes from aquifers or "underground mountains" that get replenished by rain.
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
What is the equation for the line intercept form?
Answers
Answer:
Step-by-step explanation:
y = mx + b