If using the method of completing the square to solve the quadratic equation x^2-14x+30=0, which number would have to be added to "complete the square"?
Answers
Answer:
we add 49
Step-by-step explanation:
the answer is in the above image
If you need an explanation lmk
Related Questions
I am not sure how to approach this problem or where to start? How would I be able to solve this problem?
Answers
Answer:
5.7
Step-by-step explanation:
We can use a proportion to solve the problem:
24 : 100 = 1.37 : x
x = (100 * 1.37)/24 = 137/24 = 5.7
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 6 2 -2 -6 -10
b) -8 -15 -22 -29 -36
Answers
Answer:
[tex]{ \bf{(a).}} \\ { \tt{ {n}^{th} = a + (n - 1)d }} \\ { \tt{ {n}^{th} = 6 + (n - 1) \times - 4 }} \\ {n}^{th} = 10 - 4n \\ \\ { \bf{(b).}} \\ { \tt{ {n}^{th} = - 8 + (n- 1) \times - 7 }} \\ { \tt{ {n}^{th} = -1 - 7n}}[/tex]
What is the mean absolute deviation of Warren’s data?
Warren's Scores Absolute Deviation from Mean Score – individual score
0
25
15
10
20
30
10
15
5
25
20
15
20
5
10
sum of absolute deviations =
Answers
Answer:
6.667
Step-by-step explanation:
I just did the calculations
Question 12 of 27 Which of the following can be used to find the sum of the interior angles for any regular polygon?
A. Multiply the number of sides by 180
B. Divide the number of sides by 180
C. Subtract 2 from the number of sides and multiply the difference by 180
D. Add 1 to the number of sides and multiply the sum by 180
Answers
Answer:
C. Subtract 2 from the number of sides and multiply the difference by 180
Step-by-step explanation:
A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180.
What is the product of the rational expressions shown below? Make sure your
answer is in reduced form. X+1/x-4 • 5x/x+1?
Answers
Answer:
5x / (x - 4)
Step-by-step explanation:
(x + 1)/(x - 4) • 5x/(x + 1)
Method 1:
Cancel out x + 1
Leaving 5x/(x - 4)
Method 2:
(x + 1)/(x - 4) • 5x/(x + 1)
Multiply numerator and denominator separately
= 5x(x + 1) / (x - 4)(x + 1)
Cancel out (x + 1) in the numerator and (x + 1) in the denominator
= 5x / (x - 4)
Therefore,
(x + 1)/(x - 4) • 5x/(x + 1) = 5x / (x - 4)
What is the average score of runa 140,96 and 13?
Answers
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Formula:}[/tex]
[tex]\mathsf{\dfrac{Sum\ of\ all\ terms}{Total\ number\ of\ values\ in\ the\ data}= your\ mean/average}[/tex]
[tex]\mathsf{\dfrac{140+96+13}{3}}[/tex]
[tex]\mathsf{140+36+13}[/tex]
[tex]\mathsf{140 + 96 = \bf 236}[/tex]
[tex]\mathsf{236 + 13}[/tex]
[tex]\mathsf{ = \bf 249}[/tex]
[tex]\mathsf{\dfrac{249}{3}}[/tex]
[tex]\mathsf{= \bf 83}[/tex]
[tex]\boxed{\boxed{\large\textsf{Possible answer: \huge \bf 83}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A true false test contains 24 questions. In how many different ways can this test be completed. (Assume we
don't care about our scores.)
Answers
Answer:
The total number of ways to give the answer of the question is 16777216.
Step-by-step explanation:
Total number of questions = 24
The number of possibilities so that the answer is given is only 2. It is either true or false.
So, the total number of ways to complete the test is
[tex]2^{24} = 16777216[/tex]
A bag contains 6 black, 4 blue, and 8 white marbles. What is the probability that a marble drawn from the bag will be white?
a.1/18
b.2/5
c.4/9
d.4/5
Answers
Answer:
C.4/9
Step-by-step explanation:
You add the black marbles, blue marbles, and the white marbles together, which equal 18. Out of the 18 marbles, 8 of them are white so it would be 8/18.
but you have to simplify it. 8 and 18 have 2 as the greatest common factor. 8 divided by 2 is 4 and 18 divided by 2 is 9. Finally its 4/9 since you cant simplify it even more.
х
f(x)
What is the initial value of the exponential function
represented by the table?
-2
1
8
e
8
-1
1
4
0
1
2
1
1
1
2
2
2
Answers
Answer:
the answer will be table -1
Step-by-step explanation:
Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, the favorite sports of respondents are identified as 1 for basketball, 2 for baseball, 3 for football, and 4 for anything else. The average (mean) is calculated for 517 respondents and the result is 1.5.
Answers
Answer:
(a) Nominal data
(b) Calculating the mean is wrong
Step-by-step explanation:
Given
[tex]1 \to[/tex] Basketball
[tex]2 \to[/tex] Baseball
[tex]3 \to[/tex] Football
[tex]4 \to[/tex] Others
Solving (a): The level of measurement
In the given parameters, digit 1 to 4 are used to label each of the given sport.
When such labels are used, the type of data is nominal.
Solving (b): The error
In (a), we identified that the level of measurement is nominal. This implies that, the data are not counted, but instead they are categorized.
And as such, the mean of the data cannot be calculated.
TASKI
END OF THE YEAR - ESCAPE ROOM
Movie Theme
Fnd the area and circumference of each figure below. Use 31 for it. If needed,
round your answers to the nearest hundredths place
CODE Type the numeral answer. NO LABELS Part a crea, circumference, part b
area, circumference For example 765, 326, 2004, 3563
6
10 mm
MOVIE
TICKET
Your answer
Answers
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Use the limit definition of the derivative to find the instantaneous rate of change of
f(x)=5x^2+3x+3 at x=4
Answers
[tex]f'(4) = 43[/tex]
Explanation:
Given: [tex]f(x)=5x^2 + 3x + 3[/tex]
[tex]\displaystyle f'(x)= \lim_{h \to 0} \dfrac{f(x+h) - f(x)}{h}[/tex]
Note that
[tex]f(x+h) = 5(x+h)^2 + 3(x+h) + 3[/tex]
[tex]\:\:\;\:\:\:\:= 5(x^2 + 2hx + h^2) + 3x + 3h +3[/tex]
[tex]\:\:\;\:\:\:\:= 5x^2 + 10hx + 5h^2 + 3x + 3h +3[/tex]
Substituting the above equation into the expression for f'(x), we can then write f'(x) as
[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{10hx + 3h + 5h^2}{h}[/tex]
[tex]\displaystyle\:\:\;\:\:\:\:= \lim_{h \to 0} (10x +3 +5h)[/tex]
[tex]\:\:\;\:\:\:\:= 10x + 3[/tex]
Therefore,
[tex]f'(4) = 10(4) + 3 = 43[/tex]
3. What shape is a prism?
Answers
Answer:rectangular
Step-by-step explanation:
Answer:
TRIANGULAR
Step-by-step explanation:
A prism is a triangular-shaped piece of glass. The white light that reaches the prism contains all of the colors of the visible spectrum even though you can’t see them. As the white light passes through the edge or boundary of the prism, the light waves refract. Each of the different wavelengths contained in the white light refracts differently and results in a different color. The white light is broken up by the prism into all the colors of rainbow. The longest wavelength bends (refracts) the least and is red. The shortest wavelength bends the most and is violet.
Which phrases can be represented by the algebraic expression 2x + 1? Check all that apply.
two times a number plus 1
a number plus 2
twice a number and one
two more than a number and one
twice the product of a number added to 1
Answers
Two times a number plus 1
Twice a number and one
Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y. 1) Viết các phán đoán sau đây dưới dạng công thức: a) Nhiều người yêu thương A. (Thay A bằng chính tên của em). b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
Answers
Trường công nghiệp hả:’)
A plane Airport on Tuesday morning for a 755-mile,6- hour trip. For the first part of the tripthe average speed was 105 mphFor the remainder of the trip the average speed was 130 mph . How long did the plane fly at each speed ?
Answers
Answer:
105 miles / hour for 1 hour
130 miles / hour for 5 hours
Step-by-step explanation:
Part A
speed = 105 mphdistance = xtime = yPart B
speed = 130 mphdistance = 755 miles - xtime = 6 hr - yplane Part A: x = 105 *y
Plane Part B: 755 - x = 130*(6 - y)
Put 105*y into the equation for plane B
755 - 105*y = 130*(6- y) Remove brackets on the the right.
755 - 105y = 780 - 130y Add 130y to both sides
755 - 105y + 130y = 780 Combine left
755 + 25y = 780 Subtract 755 from both sides
25y = 780 - 755
25y = 25 Divide by 25
y = 25/25
y = 1
The plane travelled 1 hour at 105 mile / hour
The plane travelled 5 hour at 130 mile / hour
Check
1 hour for a distance of 1 hr * 105 mph = 105 mile
5 hour for a distance of 5 hr*130 mph = 650 miles
Total distance = 755 miles
Remark
This is a very neat problem. I don't think I've ever seen this variation. It is a little long, but it is well worth your time.
The answer I got for this problem was 10.8 (multiplied 18 and 60 then divided by 100) however, it stated that my answer is incorrect. Did I not round correctly or is my entire answer wrong?
Answers
9514 1404 393
Answer:
30 mL
Step-by-step explanation:
The meaning of 60% solution is ...
alcohol/(total volume) = 0.60
You are told the amount of alcohol is 18 mL, so you have ...
(18 mL)/(total volume) = 0.60
Multiplying by total volume gives ...
18 mL = 0.60 × (total volume)
Then dividing by 0.60, you have ...
(18 mL)/0.60 = total volume = 30 mL
_____
Additional comment
You need to apply what you know about the real world to consider whether your answer makes any sense. If alcohol is a little more than half of the volume, and the amount of alcohol is 18 mL, then the total volume cannot be less than 18 mL. In fact, you expect it to be not quite double 18 mL.
An answer of 10.8 mL makes no sense in this context. You cannot have less total solution than you have of something that makes up a part of the total solution.
The quadratic regression equation that models these data is y = - 0.34x ^ 2 + 4.43x + 3.46 Using the quadratic regression equation what was the predicted profit in year 8? A. $ 17.14 million B. $ 17 million C. $ 16.8 million D. $16 million
Answers
Answer:
A. $ 17.14 million.
Step-by-step explanation:
Profit:
The profit, in millions of dollars, on year x, is given by:
[tex]y(x) = -0.34x^2 + 4.43x + 3.46[/tex]
Year 8
This is y(8). So
[tex]y(8) = -0.34(8^2) + 4.43(8) + 3.46 = 17.14[/tex]
$17.14 million, option A.
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.7.
Independently, she then decides whether or not to buy a CD, with a probability of 0.6 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
Answers
The probability that she buys fruit or buys a CD is 1.3.
The probability that she buys fruit and buys a CD is 0.42.
What are the probabilities?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that she buys fruit or buys a CD = 0.7 + 0.6 = 1.3
The probability that she buys fruit and buys a CD = 0.7 X 0.6 = 0.42
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is
the solution set of this problem?
0 (-0, -21)
O (-0, -21]
o [-21, +00)
O (21, +00)
Answers
Answer:
5 × (x + 27) ≥ 6 × (x + 26).
Step-by-step explanation:
The solution set of " Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26" is (-∞, -21]
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
For this case, let the number in consideration be 'x', then according to the condition specified, we get:
The sum of a number and 27 = x+27Five times the sum of a number and 27 = [tex]5(x+27)[/tex]The sum of that number and 26 = x + 26Six times the sum of that number and 26 = [tex]6(x+26)[/tex]Also, we get:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 as:
[tex]5(x+27) \geq 6(x+26)[/tex]
Expanding and taking x on one side:
[tex]5x+135 \geq 6x+156\\135-156 \geq x \\\\x \leq -21[/tex]
Thus, the considered statement is true for all the numbers which is smaller or equal to -21. Symbolically, the solution set is: (-∞, -21]
The square bracket shows that the -21 is included in the interval. And the interval (-∞, -21] is set of all real numbers smaller or equal to -21.
Thus, the solution set of " Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26" is (-∞, -21]
Learn more about inequalities here:
https://brainly.com/question/27425770
What is the answer to number 5?
Answers
Answer:
Add 6 to the x-axis and 3 to the y-axis.
Step-by-step explanation:
Right and left are x-axis, and up and down are y-axis.
Answer the following questions using what you've learned from this unit. Write your
answers in the space provided. Be sure to show all work.
CLASSIFY and MEASURE TRIANGLES
1. Find angle measures and use angles to classify triangles.
Part I: Find the missing angle measure in each triangle. Show your work.
(3 points, 1 point each)
AAN
50"
В
A
mC
m B
mA
Answers
Answer:
50"
В
A
mC
m B
mA
Step-by-step explanation:
Find the area of the composite area
Answers
Area of triangle = bxh/2 = 7x7/2= 24.5
Total area= 91+24.5= 115.5 in^2
Which values of a, b, and c represent the answer in simplest form?
9/11 divided by 5/11 = a b/c
Answers
Answer:
a=1, b=9 and c= 5
Step-by-step explanation:
9/11 divided by 5/11
= 9/11 * 11/5
11 gets cancelled
=9/5
it can also be written as 1* 9/5
Hence here a=1, b=9 and c= 5
Please mark me as brainliest.
PLEASE HELP ASAP!!!
Describe the graph of the function g by transformations of the base function f.
(Graph and Answers pictured!)
Answers
Answer:
Option (3)
Step-by-step explanation:
Base function in the graph is 'f' and the transformed form of the function 'f' is function 'g'.
Since, the base function 'f' is reflected across the x-axis,
h(x) = -f(x)
Followed by the translation by 3 units downwards,
g(x) = h(x) - 3
= -f(x) - 3
Therefore, function in the form of g(x) = -f(x) - 3 will be the answer.
Option (3) is the correct option.
Russian Walks to school Every day. Which one of the following is the best describe how long time russian takes to walk to school?
1) Inches
2)Minutes
3) Centimeter
4)Meters
Answers
Answer:
Minutes answer B
hope it helps
Answer:
option 2. Minutes
Step-by-step explanation:
The question is how long time the Russian takes.
Except option 2 , the rest of the measurements are for distance/ length.
13 multiplied by the sum of 4 and11. Now reverse the result and add it to the earliest result and then multiplied it by 13
Answers
Step-by-step explanation:
I am not critically certain but the ways you have jotted down your enquiry..
I assume is13 × (4×11)
13 × 44
=572 - 44= 528
528+13 =541
541 ×13=7033
Please answer me the question and find the graph and question number 2 find the area of the surface
Answers
find the equation of line parallel to y=-2x+1 and passing through the point (2,4)
Answers
Answer:
[tex]y=-2x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slopes1) Determine the slope (m)
[tex]y=-2x+1[/tex]
The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-2x+b[/tex]
Plug in the given point (2,4) to solve for b
[tex]4=-2(2)+b\\4=-4+b[/tex]
Add 4 to both sides to isolate b
[tex]4+4=-4+b+4\\8=b[/tex]
Therefore, the y-intercept of the line is 8. Plug this back into [tex]y=-2x+b[/tex]:
[tex]y=-2x+8[/tex]
I hope this helps!
In a recent year, 31.6% of all registered doctors were female. If there were 53,000 female registered doctors that year, what was the total number of registered doctors?
Answers
Answer:
The total number of registered doctors was 167,722.
Step-by-step explanation:
Total number of doctors:
The total number of doctors is given by x.
31.6% of all registered doctors were female. 53,000 female doctors.
This means that:
[tex]0.316x = 53000[/tex]
What was the total number of registered doctors?
We have to solve the above equation for x. So
[tex]x = \frac{53000}{0.316}[/tex]
[tex]x = 167722[/tex]
The total number of registered doctors was 167,722.