Take the square root of both sides to get the solution
The equation is: (x - 8)^2 = -8
Here is a picture of what I mean.
(I need an answer fast.)
Answers
The solution to the given equation is 8±2√2 i
Solving rational equationsAn algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations
Given the equation below
(x - 8)^2 = -8
Take the square root of both sides to have:
√(x-8)^2 = √-8
x-8 = ±√-8
x-8=±2√2 i
x = 8±2√2 i
Hence the solution to the given equation is 8±2√2 i
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Related Questions
if they are given 2 days to work how many scarves could alexandra make if she spent the whole time knitting scarves?
Answers
Alexandra could make 24 scarves if she spent the whole time knitting, by unitary method.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
Refer to the image attached for the values and information.
According to the timeline for Alexandra's production options, if she knits 0 sweaters every day, In one day, 12 scarves were knit. This suggests that if Alexandra knitted scarves all day for two days, by unitary method, she could finish 24 scarves.Hence, Alexandra could make 24 scarves if she spent the whole time knitting, by unitary method.
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let a be the event that the sum of the faces showing is 6 and let b be the event that the face showing on one die is twice the face showing on the other die.
Answers
PABc = 3/36
PABc = 1/12.
Two dice are tossed.
Assume that each possible outcome has 1/36.
Let A be the event the probability of getting some of the faces showing is 6.
A = 1,5,5,12,44,23,3
Let B be the event that the face showing one die is twice on the other.
That is,
B =1,22,12,44,23,66,3
There are 36-6=30 events in Bc
However, A and Bc will only be having 3 pairs together = 1,55,13,3
Therefore,
PABc = 3/36
PABc = 1/12.
How many outcomes are possible for the sum of the faces showing?
There are countless outcomes that could occur. The sum of the faces shown has an endless number of outcomes. This is due to the fact that there are an endless number of ways to flip a coin, which will produce various combinations on the faces that are displayed. The sum of the faces and the tails has an endless number of outcomes. There are only two outcomes that can occur while tossing a coin because the total number of outcomes is always even.
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Kenny and Tara are both members of a population, and a simple random
sample is being conducted. If the chance of Kenny being selected is, what
is the chance of Tara being selected?
Answers
The probability or chance of Tara being selected is 1/29.
What is probability?Probability is the chance of happening something or the occurrence of something . We can also define the probability as the chance of occurring or the chance of selecting something from the total set of value. It is always ranges from 0 to 1 where 0 is minimum value and 1 is maximum value of probability.
Formula for probability is :
[tex]P(Event) =\frac{ Chance \ of \ occurring \ that \ event}{total \ occurance}[/tex]
where, the total occurrence is the sample space of our given data or we can say the total number of values in the sample space.
In the given question,
Chance of selecting Kenny = 1 / 29
=> P(Kenny is selected) = 1/29
That means sample space consist of 29 values.
Now, P(Tara is selected) = 1 / sample space
=> P(Tara is selected) = 1/29.
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The complete question is :
Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected?
Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. (5 points)
Answers
Answer:
Step-by-step explanation:
for the function i get f(x)=1.99x+3
f(x) = 1.99x + 3 for x>0
x≥1
X cannot get to zero it is no allowed by the function I defined
i tried my best
the age distribution of a population (relative proportions of people of different ages) is not important when considering the growth rate of that population.
Answers
It is False to state that the age distribution of a population is not important when considering the growth rate of that population.
What is the growth rate of a population?Population growth is the rise in the number of inhabitants in a population or scattered group and it is usually stated in percentage.
Researchers often focus on four primary elements when forecasting changes in population size:
Birth rates,Death rates (life expectancy),The beginning age profile of the population (i.e. elderly or relatively young individuals), and Migration.Other factors include:
Economic development Social and cultural factorsEducation, etcAge distribution and statistics allow the pace of population growth to rise or decline as it is linked to the level of economic development of a population. a fast-expanding country's population has a pyramid-shaped age structure, with a higher share of younger people of reproductive age.
Therefore, we can conclude that it is False to state that the age distribution of a population is not important when considering the growth rate of that population.
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In order for Brady to earn a B in his biology course, his test scores must
average at least 80%. On the first 5 tests, he has an average of 77%. There
is one test remaining in the course. What is the minimum score Brady
needs to earn on the last test to receive a B in the class?
Answers
Answer:
90
Step-by-step explanation:
In order for Brady to earn a B in his biology course, his test scores must
average at least 80%. On the first 5 tests, he has an average of 77%. There
is one test remaining in the course. What is the minimum score Brady
needs to earn on the last test to receive a B in the class?
14. Wisco's winter carnival is coming up, and Mr. Raymond is in charge of ordering the craft kits again. He knows he ordered 13 boxes of snow globe kits last year but can't remember how many kits came in a box. He checks the records and finds that the school used 172 of the snow globe kits last year and had 10 left over after the event. How many snow globe kits come in each box?
Answers
Answer:
169
Step-by-step explanation:
Answer:
Assume x to be the number of snow globe kits that come in each box.
Then the equation that describes the given situation is
13x - 10 = 172
13x = 182
x = 14
So, the number of snow globe kits that come in each box is 14.
Kiara has $520 in her bank account. each week she deposits $80 and withdraws $35. gael has $310 in his account. each week he deposits $95 and withdraws $20. write and solve an equation to determine the week w when gael and kiara have the same amounts of money in their accounts.
Answers
The answer is D and the written answer is 7
please help I've been trying to solve this for 30-35 minutes
Answers
Answers: middle box: 1.32
middle right box: -3.3
bottom left: -0.5
bottom middle: 0.6
Step-by-step explanation:
[Find out the middle box]
[tex]-1.2[/tex] x [tex]-1.1[/tex][tex]=1.32[/tex]
[Find out the box in the middle right]
[tex]3[/tex] x [tex]-1.1 = -3.3[/tex]
[To Find out the bottom left box - divide each side by three]
[tex]x[/tex] x [tex]3 = -1.5[/tex]
[tex]x = -0.5[/tex]
[Bottom middle box]
[tex]-0.5[/tex] x [tex]-1.2 = 0.6[/tex]
General Rule:
[tex]negative[/tex] x [tex]negative = positive[/tex]
[tex]negative[/tex] x [tex]positive = negative[/tex]
Hope this helps :)
Provide three additional commonly used statistical measures for the characterization of data dispersion.
Answers
The three additional commonly used statistical measures for the characterization of data dispersion are: Standard Deviation, Interquartile Range and Range.
What is dispersion in statistics?Dispersion in statistics refers to how far the data deviates from the mean.When measures of central tendency are insufficient to explain the data, it is highly helpful. Consider the case where the mean is the same across two completely different datasets. Then, in order to explain the variation in the datasets, we employ metrics of dispersion.Now,
The most common examples of statistical metrics of dispersion include:
Standard Deviation: A measurement of how widely apart data are from the mean is the standard deviation. It is the most typical method of measuring dispersion.Interquartile Range: The middle 50% of observations are described by the interquartile range (IQR). The middle 50% of observations are widely separated if the interquartile range is big. Extreme values have no impact on it. Consequently, is helpful when the extreme values are not precisely recorded.Range: The range of data is the distance between the largest and smallest observation. It does not use all of the observations in a data collection and is particularly sensitive to outliers. Therefore, giving the minimum and maximum values rather than the range is more instructive.Hence, The three additional commonly used statistical measures for the characterization of data dispersion are: Standard Deviation, Interquartile Range and Range.
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Mae raised $80 by selling boxes of cookies. Let
b represent the number of boxes of cookies sold.
Each box cost $2.50. Which equation should be
used to determine how many boxes of cookies
Mae sold?
A. 2.50+ b = 80
C. b÷ 2.50 = 80
B. b-2.50 = 80
D. 2.50b = 80
Answers
Answer: D
Step-by-step explanation: 2.50xb=80 b= 32 boxes
Find all values of x in the interval [0, 2] that satisfy the equation. (enter your answers as a comma-separated list.) 5 sin(2x) = 5 cos(x)
Answers
All values of x in the interval [0, 2] that satisfy the equation are [tex]\frac{\pi }{2} ,3\frac{\pi }{2}[/tex].
What is an equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. A well-formed formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's cognates in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.
The first step in resolving a variable equation is to identify the values of the variables that lead to the equality being true. The variables that must be changed in order to solve the equation are referred to as the unknowns, and the values of the unknowns that satisfy the equality are referred to as the equation's solutions.
Calculations:
16cos(x +8sin(2x)=0
Divide by 8
2cos(x)+sin(2x)=0
Identity:
sin(2x)=2sin(x)cos(x)
2cos(x)+2sin(x)cos(x)=0
Factor:
2cos(x)(1+sin(x))=0
2cos(x)=0
cos(x)=0=x=[tex]\frac{\pi }{2}[/tex],3[tex]\frac{\pi }{2}[/tex]
(1+sin(x))=0
sin(x)=−1=x=3[tex]\frac{\pi }{2}[/tex]
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8x10+
4x1+ 6x (1/100)
Answers
Answer:
8x¹⁰+203x/50
Step-by-step explanation:
Answer: 4203/50
Step-by-step explanation:
8 x 10 + 4 x 1 + 6 x (1/100)=
80 + 4 + 6/100=
84 + 6/100=
84 + 3/50=
(84 + 3/50)*50/50= ==> multiply by 50 to remove denominators
(84 * 50 + 3 * 50/50)/50=
(84 * 50 + 150/50)/50=
(4200 + 3)/50=4203/50
Simplify.
√{24 x²y³)
Answers
Answer:
2xy√6y
Step-by-step explanation:
If f (x) = (x^2 − 3)^4, then f '(1) =
Answers
Answer:
f'(1) = -64
Step-by-step explanation:
To find f'(1), we will be finding the f'(x) first which means the first derivative of f(x), we can find the derivative by using chain rule to this function.
The formula of chain rule is:
[tex]\displaystyle f(u) = u^n \to f'(u) = nu^{n-1}\cdot u'[/tex]
In simple explanation, we derive normally (power rule) then multiply by the derivative of inside (u).
Applying the formula, we will have:
[tex]\displaystyle{f'(x)=4(x^2-3)^{4-1}\cdot (x^2-3)'}\\\\\displaystyle{f'(x)=4(x^2-3)^{3}\cdot 2x}\\\\\displaystyle{f'(x)=8x(x^2-3)^{3}}[/tex]
Substitute x = 1 in the f'(x):
[tex]\displaystyle{f'(1)=8(1)(1^2-3)^3}\\\\\displaystyle{f'(1)=8(1-3)^3}\\\\\displaystyle{f'(1)=8(-2)^3}\\\\\displaystyle{f'(1)=8(-8)}\\\\\displaystyle{f'(1)=-64}[/tex]
a designer builds a model of a canoe. the finished model is exactly the same shape as the original, but smaller. the scale factor is . (a) find the ratio of the surface area of the model to the surface area of the original. (b) find the ratio of the height of the model to the height of the original. (c) find the ratio of the volume of the model to the volume of the original.
Answers
Model is same shape as original with scale factor 2:9.
Ratio of
a. Surface area of model and original is 4:81.
b. Height of model and original is 2:9.
c. Volume of model and original is 8:243.
As given,
Scale factor (a: b)=2:9
Ratio of model and original for
a. Surface area =a²: b²
=4:81
b. Height=a :b
=2:9
c. Volume=a³ :b³
=8:243
Therefore, model is same shape as original with scale factor 2:9.
Ratio of model and original for
a. Surface area is 4:81.
b. Height is 2:9.
c. Volume is 8:243.
The complete question is :
A designer builds a model of a canoe. the finished model is exactly the same shape as the original, but smaller. the scale factor is 2:9.
(a) find the ratio of the surface area of the model to the surface area of the original. (b) find the ratio of the height of the model to the height of the original. (c) find the ratio of the volume of the model to the volume of the original.
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helppp meee 40points
Answers
Answer:
1) 4a x 4b when a is 2 and b is 2
2) 2a + 4x when a is 2 and x is 8
Step-by-step explanation:
19. A carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown.
Will the side pieces of the frame be parallel?_____________________
How do you know?
Answers
If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
ParallelThe interior angles are the same in measure and the sum of the interior angles have to be 180°.
The two side pieces on both the right and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°
Hence,
One side of the interior angle=40º+50º
One side of the interior angle=90°
Both side of the interior angle=90°+90°
Both side of the interior angle=180°
Hence,
180°=180°, the sides are parallel
Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
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question 4(multiple choice worth 5 points) (04.02 lc) two functions, a and b, are described as follows: function a y
Answers
The rate of change of function A is 3 times the rate of change of function B.
What is rate of change of a function?To determine the slope of a graphed function, we use the average rate of change formula: Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in measurable parameters like average speed or average velocity calls for the knowledge of the average rate of change.Now,
Given:
For Function A, y = 9x + 4For Function B, rate of change = 4 and y intercept = 4To find: The number of times the rate of change of function A is, as compared to the rate of change of function B.
Finding:
According to the information given,
Rate of change = 3, i.e., b = 3 for function By- intercept = 4, i.e., c = 4Thus, by the slope-intercept form, given by: y = bx + c, the rate of change for function B is given by:
y = 3x + 4
Now, on comparison with function A, we can see that the rate of change of the function A is exactly thrice of that of function B.
Hence, The rate of change of function A is 3 times the rate of change of function B.
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(COMPLETE QUESTION)
(04.02 LC) Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept is 4. How much more is the rate of change of function A than the rate of change of function B? 2 3 6 9
if sariyah walks 7.7 klometers every day how many klometer does she walk each week?
Answers
Answer: If she walks 7.7 klometers each day that would be 53.9 klometers each week
Step-by-step explanation:
Answer:
53.9 kilometers a week
Step-by-step explanation:
7.7 kilometers a day
7 days = 1 week
7 days * 7.7 kilometers = 53.9 kilometers per week
A website begins its first week with 3 subscribers. The number of subscribers each week is listed in the table. Write an expression to model the number of subscribers at the website each week. Use your expression to determine the number of subscribers in week 24.
There are _____
subscribers in week 24.
Answers
Answer:
72
Step-by-step explanation:
This is clearly multiplication so all you have to do is multiply 24 x 3 and your answer is There are 72 subscribers in week 24
andres gasta 345$ mensuales.cuanto gasta en 1 Año 7 meses
Answers
Answer:
$6555
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)
As captain of the cheer team Lily is choreographing a routine for a competition. The minimum allowable length for a routine is 3 minutes and the maximum allowable length for a routine is 5 minutes. Write an absolute value for which the two solutions are the minimum and maximum allowable lengths.
Answers
Lily, the cheer team's captain, is putting together a performance for a tournament. A routine may be no less than 3 minutes in length and no more than 5 minutes in total. For which the two solutions are the shortest and longest permitted lengths, write an absolute value.
The absolute value for 3 is 3 .
The absolute value for 5 is 5.
The two solutions are the shortest and longest permitted lengths, The absolute value |2x−5|+|2x−3|=2
Absolute value is the non-negative value of a real number x, independent of its sign, is its absolute value (or modulus), | x |.
For example, 5 has an absolute value of 5, and -5 has a value of 5. Another way to think about a number's absolute value is as its distance from zero on the real number line. In addition, the distance between two real numbers is the absolute value of their difference.
Given that,
A routine may be no less than 3 minutes in length and no more than 5 minutes in total.
By absolute value equation
we can get 2x−5|+|2x−3|=m
By solving we get 2 m values they are,
m={-8,2}
Here, -8 we can take but the answer will be in decimal soo we take 2.
|2x−5|+|2x−3|=2
We get
[tex]|4x-8|=2\\|x-2|=1\\|x|=3\\[/tex]
If we take 2x =y
|y−5|+|y−3|=2
[tex]|2y-8|=2\\|y-4|=1\\|y|=5[/tex]
Therefore,
The absolute value for 3 is 3 .
The absolute value for 5 is 5.
The two solutions are the shortest and longest permitted lengths, The absolute value |2x−5|+|2x−3|=2.
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Look at this incomplete multiplication problem.
154 times 63 = 462. 462 + question mark = blank
The missing value is
A. 904
B.9040
C.9240
Answers
Explanation:
I’m assuming you have a typo.
154 * 63 = 9702
462 + ? = 9702
With this set of equations, we can easily find ? by simply taking the result 9702 and subtracting 462 from it to get 9240.
462 + ? = 9702
462 + - 462 + ? = 9702 + - 462
? = 9240
Hence, choose option C.
Cheers.
Answer:
The answer is C
Step-by-step explanation:
The first step is to multiply 154 and 63 to find the product. The product of those two numbers is 9702.
So the the equation looks like...
462+ Blank = 9702
The easiest thing to do here is subtract 462 from both sides. So 9702-462 which would equal 9240.
So we'll say that the blank is x so now the equation says...
x = 9240
1 ÷ 200= 0.005
true or false?
Answers
Answer:
True
Step-by-step explanation:
1/200=0.005
Hope It Helps
Sorry If I'm Wrong
Please help me on this
Answers
Answer:
second left
Step-by-step explanation:
Alessa had 50 in her account. she then received four $-25 charges to her account. what is the new balance of her account
Answers
The new balance in her account will be $150.
We have Alessa.
We have to find the new balance of her account after receiving four $-25 charges.
What is Account ?Account is referred here as a bank account used for the purpose of saving money by the people.
According to the question -
Initial money in Alessa's account = $50
Total money received = $25 x 4 = $100
Therefore, the new balance in her account will be -
$50 + $25 x 4 = $150
Hence, the new balance in her account will be $150.
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A car speeds down the interstate at 85
miles per hour. What is this speed in feet per
second? (1 mile
= 5280 feet)
Answers
Answer:
124.67 feet per second
Step-by-step explanation:
First: multiply the feet per mile by the amount of miles that the car is going in order to get the feet per hour
5280 x 85 = 448,800
Second: divide the answer from the first step by 60 in order to get the number of feet per minute
448,800 ÷ 60 = 7480
Third: divide the answer from the second step by 60 in order to get the number of feet per second
7480 ÷ 60 = 124.67
Which statement is true about the function f(x)=8^3
Answers
The function f(x) = 8 is even because f(x)= f(-x).
Given the function is f(x) = 8
Key to find if a function f(x) is even or odd is to replace the x with -x.
if the results comes out to be f(x) then it is even function.
if the results comes out to be -f(x) then it is odd function.
where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.
In given case f(x)= 8
if we replace x with -x in above equation then results is 7
f(-x)= 8
hence f(x)= f(-x) = 8
Therefore, f(x) = 8, is an even function.
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Your question is incomplete. Please find the missing content here.
Which statement is true about the function f(x) = 8
Find the slope of the line. (-4,-1) (4,-3)
Answers
Answer:
Step-by-step explanation:
Ans:
−
0.6