Answer:
x = 5 ± √26-------------------------
Convert the given equation as below:
\((x^2-9x-1)^{10}+99x^{10}=10x^9(x^2-1)\)\((x^2-9x-1)^{10}+99x^{10}=10x^9(x^2-9x-1)+10x^9(9x)\)\((x^2-9x-1)^{10}+99x^{10}=10x^9(x^2-9x-1)+90x^{10}\)\((x^2-9x-1)^{10}+9x^{10}=10x^9(x^2-9x-1)\)\((x^2-9x-1)^{10}-9x^9(x^2-9x-1)=x^9(x^2-9x-1)-9x^9x\)Let's substitute x² - 9x - 1 = t, then the equation is:
\(t^9t-9x^9t=x^9t-9x^9x\)Comparing both sides, we see that x = t, so:
x² - 9x - 1 = xx² - 10x - 1 = 0Solving this quadratic equation we get:
x = 5 ± √26When solving the equation below using the quadratic formula, what would be the value inside or under the radical? (Hint: simplify first!)
2x 2 − 10 = 7x
The values under and inside the radical is 4 and 129 respectively
What is a quadratic equation?A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers. One supposes generally that a ≠ 0; those equations with a = 0 are considered degenerate because the equation then becomes linear or even simpler.
A quadratic equation is given as ax²+ bx+ c=0
this can be solved using formula x=( -b±√b²-4ac)/2a.
in the equation 2x²-10=7x, it can be Rearranged As 2x²-7x-10= 0
a= 2, b= -7 and c= -10
x= -(-7)±√(-7)²-4×2×-10)/2×2
x= 7±√49+80)/4
x= 7/4 ± √129/4
therefore the values inside and under the radical is 129 and 4
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Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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Consider the plot created from the residuals of a line of best fit for a set of data. Does the residual plot show that the line of best fit is appropriate for the data?
A) Yes, the points have no pattern.
B) No, the points are evenly distributed about the x-axis.
C) No, the points are in a linear pattern.
D) Yes, the points are in a curved pattern.
i know 100% the answer isn’t B or D!
Answer:
c
Step-by-step explanation:
Answer:
A. Yes, the points have no pattern.
Step-by-step explanation:
just did it on edge and got 100%
Jodi owes $38,000 in students loans for college. The interest rate is 7.25% and the loan will be paid off over 10 years. How much will Jodi pay TOTAL?
Answer:
Jodi will have to pay $38,000 in principal plus $27,550 in interest for a total of $65,550.00.
Step-by-step explanation:
Solution:
P = $38,000, R = 7.25% and T = 10
I = P*R*T
I = (38000)*(.0725)*(10) = $27,550.00
Answer: Jodi will have to pay $38,000 in principal plus $27,550 in interest for a total of $65,550.00.
Answer: Jodi will pay $65,550.00 in total.
Steps: 7.25% of $38,000 is $2,755.00
Multiply 2,755.00 times 10: 2,755 × 10 = 27,550
$38,000.00 + $27,550.00 = $65,550.00
Plz mark brainliest:)
How many baby elephants were weighed?
Please help as soon as possible.
Answer:
just remember that each baby elephant weight 3/8 of a ton
and all together weight 3/4 of a ton
so how many baby elephants will be ,let be x a unknown number of them
so
x*(3/8) =3/4
because multiplying the number of baby elephants with their body weight gives the total weight of all baby elephants.
so
x=(3/4)*(8/4)=2
the number of baby elephants is 2
If the points (–2, –1), (–1, 0), (2, 3), and (–3, –2) are joined to form a straight line, at what point does the line intersect the y-axis?
Answer:
0
Step-by-step explanation:
Pick 2 points and use the slope formula
(–1, 0), (2, 3)
Slope =(y2−y1)/(x2−x1)
(3−0)(2−−1)
3/3
1
y=1x
Hope this helps! Plz award Brainliest : )
Helppp please will give BRAINLIEST thank you! Geometry
Answer:
Step-by-step explanation:
its JK Kl and KL JK
find x, show proofs
The side x of the similar triangle is 12.7 units.
How to find the side of a triangle?The triangles are similar triangle.
Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.
Therefore, using the proportion
37- 5 / x = x / 5
Evaluate the difference of 37 and 5
32 / x = x / 5
Cross multiply the equation
x × x = 32 × 5
So, we have
x² = 160
Take the square root of both sides
x = √160
Evaluate the square roots
x = 12.6491106407
Hence, the value of x is x = 12.7 units (when approximated)
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Nicholas is typing a book report at an average of 30 words per minute. Which equation could Nicholas use to find tea the amount the amount of time in minutes he will spend typing his report has W words?
The equation could Nicholas use to find tea the amount the amount of time in minutes he will spend typing his report has W words is w = 30t .
What is speed?In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector while speed is a scalar quantity. Velocity and speed are denoted by the letters v and v, respectively (boldface). The symbol has a bar over it for average values. How swiftly something is going, being done, or something that is moving quickly is measured in terms of speed. Driving an automobile 45 miles per hour is an illustration of speed. Someone cleaning a room in 10 minutes would be an example of quickness. the definition of speed. a direction or speed at which an object's location changes.
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answer these 2 qns if possible or atleast one
1. The percentage of maize flour is given as 16.7 %
2. The common ratio of the GP is r = 1.5.
How to solve for the common ratio1. We have to set up equation
60x + 90(1 - x) = 85
60x + 90 - 90x = 85
now we have to solve for the value of x
-30x = -5
x = 5 / 30
x = 0.167
Hence percentage of maize flour is given as 16.7 %
2. a + ar = 20 (1)
ar + ar^2 = 30 (2)
We can rearrange equation (1) to get an expression for a:
a = 20 / (1 + r)
Now, we can substitute a into equation (2) to get an equation only in terms of r:
\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)
Solving this quadratic equation, we get:
We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.
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Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6
Answer:
I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.
First, we have the lines:
y = (1/3)*x + 6
y = (-5/3)*x - 6
To graph these lines, you must find two points for the lines and then draw a line that connects the points.
To do it, you can evaluate each line in two different values of x, for example for the first line we can have:
y(0) = (1/3)*0 + 6 = 6 (then we have the point (0, 6))
y(3) = (1/3)*3 + 6 = 7 (then we have the point (3, 7))
And for the second line, we will have:
y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))
y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))
Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.
The graphs of the lines are shown below:
Where the grey line is the first one, and the green is the second.
In the graph, you can see that the lines intersect in the point (-6, 4)
Then the solution for the system is x = -6, and y = 4.
regla general de las siguientes secuencias -2,1,6,13,22,33...
Answer:
46
Step-by-step explanation:
your add odd number 1,3,5,7,9,11,13...
WILL MARK BRAINLYIST
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
Why is the square root of 36 equal to 6?
Answer:
6^2= 36
Step-by-step explanation:
Answer:
because that is what sqrt are
Step-by-step explanation:
A square root of a number is a value that, when multiplied by itself, gives the number. Example: 6 × 6 = 36, so a square root of 36 is 6 ... The symbol is √ which always means the positive square root.
Which expression gives the best estimate of 45 percent of 76?
Answer:
\(34\frac{1}{5}\)
Step-by-step explanation:
\(\frac{45}{100}*76\)
\(\frac{171}{5} = 34\frac{1}{5}\)
Answer:
Step-by-step explanation:
babababa
One winter morning, the temperature was -2 degrees celsius. By 11:00am, the temperature had decreased by 3 degrees. At 4:00pm, the temperature reached 0 degrees celsius. What integer represents the temperature change from 11:00am to 4:00pm?
Answer:-5
Step-by-step explanation:
you just minus it bruh
John has some apples, and two brothers, Jack
and Jim.
John eats 3 of his apples and splits the
remainder equally between himself and each
one of his brothers. Jack and Jim both eat half
the apples they have been given. Together the
three brothers have 4 apples left.
How many apples did John start with?
John now has X - 3
and splits the remainder equally between himself and his brothers
Each of the brothers now has (X-3)/3 apples (we have to assume here that Jack and Jim didn't have any apples to begin with).
Jack and John both eat half of the apples they have been given
They now have (X-3)/3/2, or just (X-3)/6
Together the three brothers have 4 apples left
Now we say 4 = (X-3)/3 (Jim) + (X-3)/6 (Jack) + (X-3)/6 (John)
From here it's algebra. A nice trick we can do here is to add (X-3)/6 + (X-3)/6 together first, since they have the same denominator:
4 = (X-3)/3 + (X-3)/3
From there we can do the same trick, since now we have two terms that are both something/3:
4 = 2(X-3)/3
Multiply both sides by 3, divide both sides by 2:
6 = X - 3
Add 3 to both sides
9 = X
Answer:
8 or 9
Step-by-step explanation:
John eats 3 gives brothers and himself the remainder they both eat half and both halves are left making it 1 so add up to how much was eaten 3+1=4 and they have 4 left making it 8. Or just say x-3-1=4 and x=8. It can also be 9 so hopefully, someone else answers because if we add the halves remaining to the altogether it becomes 9 instead. Hope it's right and makes sense.
is this graph a minimum or a maximum pls help
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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Which one is the answer ?? Plzz
Answer:
answer is c
Step-by-step explanation:
you have to find x first and try any of the equation if you get y and it is the same of the graph and thats the answer
The graph of the parent functions f(x)=x^3 is translated to form g(x)=(x-7)^3+9. The point (0,0) on the graph of f(x) corresponds to which point on the graph of g(x)
Answer:
(7, 9)
Step-by-step explanation:
The (x-7) indicates that the graph will be shifted to the RIGHT 7 units. The +9 at the end of the equation means the graph will be shifted UP 9 units.
So the point (0,0) will land at (7,9)
Pedro earns $94.50 for 6 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?
please help me
Answer:
The answer is most likely A.
The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:
94.50/6 = 15.75
Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.
Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.
Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.
Option A is correct!
Step-by-step explanation:
Hope it helps! =D
-9x + 3 - x - 1
Can u help me pls
Answer:
-10x + 2
Step-by-step explanation:
So in order simplify the equation you have to add all the variables together and all the numbers together in this equation:
-9x + 3 - x - 1
So we are going to add -9x and x together while adding 3 and -1 together:
-9x + (-x) = -10x
3 - 1 = 2
So that would make the equation look like this:
-10x + 2
Tada! You have simplified the equation!!! Hope this helps you!!!
Find the value of x. Then find the measure of each angle and write the answers in ascending order.
The value of x and the unknown angles of the triangle are as follows;
x = 1180 degrees117 degreesHow to find angles in a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Therefore, let's find the value of x using the exterior angle theorem.
Hence,
37 + 3x + 47 = 5x + 62
3x - 5x + 37 + 47 = 62
-2x = 62 - 37 - 47
-2x = -22
x = -22 / -2
x = 11
Therefore, the angles are as follows:
3x + 47 = 3(11) + 47 = 33 + 47 = 80 degrees
5x + 62 = 5(11) + 62 = 55 + 62 = 117 degrees
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What is the meaning of "free variables"?
Free variables are variables used to represent parameters
What are free variables?Free variables are placeholders or symbols in mathematics and logic that are not constrained by any quantifiers or other specified conditions within an expression, formula, or equation.
When the expression is evaluated, they stand for values that can change or be given different values. In equations or functions, free variables are frequently employed to represent unknowns or parameters.
Free variables enable flexibility and generality in mathematical reasoning since they can be given various values to investigate various situations or solutions. In contrast, bound variables have a specific scope within a certain context or statement and are constrained by quantifiers.
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artis the vertex, aws or symmety a monday value of each 83
This equation has the form:
\(y=ax^2+bx+c\)with a = -2, b = -12, and c = 3
The x-coordinate of the vertex is found as follows:
\(\begin{gathered} x_V=\frac{-b}{2a} \\ x_V=\frac{-(-12)}{2\cdot(-2)} \\ x_V=\frac{12}{-4} \\ x_V=-3 \end{gathered}\)The y-coordinate of the vertex is found replacing the x-coordinate into the equation:
\(\begin{gathered} y_V=-2x^2_V-12x_V+3 \\ y_V=-2(-3)^2-12\cdot(-3)+3 \\ y_V=-18+36+3 \\ y_V=21 \end{gathered}\)vertex: (-3, 21)
The axis of symmetry is:
\(\begin{gathered} x=x_V \\ x=-3 \end{gathered}\)Given that a is negative, then the vertex is a maximum
Conduct a survey with a minimum of 20 people. Complete the designed questionnaire in 1.2. Remind participants why you are doing survey and that their information will be kept confidential. Submit 20 original completed questionnaires.
Important points to conduct a survey are; to gather information, make informed decisions, evaluate programs or services, identify trends, assess needs.
What is the need to conduct a survey?Surveys are conducted for a variety of reasons, including gathering information, making informed decisions, evaluating programs or services, identifying trends, and assessing needs. By using surveys, organizations can collect valuable data that can be used to inform decisions, improve programs or services, and better understand their target audience.
Surveys, also known as questionnaires, are used to gather information from a targeted group of individuals or a population. Surveys are an important tool for collecting data in a structured manner and can be used for a variety of reasons. Here are some of the reasons why surveys are conducted:
To gather informationTo make informed decisionsTo evaluate programs or servicesTo identify trendsTo assess needsTo know more about survey, visit:
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ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
A survey of athletes at a high school is conducted, and the following facts are discovered: 50% of the athletes are football players, 44% are basketball players, and 4% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player?
The probability that the randomly chosen athlete is either a football player or a basketball player is: 0.9 or 90%.
What is the probability about?To find the probability that the randomly chosen athlete is either a football player or a basketball player, we need to add the probabilities of these two events and subtract the probability of the intersection of these events.
Let F be the event that the athlete is a football player and B be the event that the athlete is a basketball player. Then, we have:
P(F) = 0.5 (50% are football players)
P(B) = 0.44 (44% are basketball players)
P(F ∩ B) = 0.04 (4% play both football and basketball)
To find the probability that the athlete is either a football player or a basketball player, we can use the formula:
P(F ∪ B) = P(F) + P(B) - P(F ∩ B)
So Plugging in the values, we get:
P (F ∪ B) = 0.5 + 0.44 - 0.04
= 0.9
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In the spinner below, what is the probability of landing on 5?
A.2/6
B.1/4
C.1/8
D.1/12
You measure 41 textbooks' weights, and find they have a mean weight of 30 ounces. Assume the population standard deviation is 12.3 ounces. Based on this, construct a 93% confidence interval for the true population mean textbook weight. Round z-values to 2 decimal places; round t-values to 3 decimal places. Round final answers to 2 decimal places.
Answer:
The 93% confidence interval is \( 26.52 < \mu < 33.48 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 41
The mean is \(\= x = 30\)
The standard deviation is \(\sigma = 12.3\)
From the question we are told the confidence level is 93% , hence the level of significance is
\(\alpha = (100 - 93 ) \%\)
=> \(\alpha = 0.07\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.81\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.812 * \frac{12.3}{\sqrt{41} }\)
=> \(E = 3.48 \)
Generally 93% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
=> \( 30 -3.48 < \mu < 30 + 3.48 \)
=> \( 26.52 < \mu < 33.48 \)