Answer:
m+9
Step-by-step explanation:
The graph of f(x) = x5+2x4-x-2 is given. How many imaginary zeros does the function have?
The function f(x) = x^5+2x^4-x-2 has 2 imaginary zeroes
What is Descartes' Rule?
the number of positive roots is the number of changes of signs there are, then decrease by 2 each time and stop when you get to 1 or 0
negative roots, substitute every x with -x and re evaluate, count change of signs then decrease by 2 each time and stop when you get to 1 or 0
According to the given question:
The given function f(x) = \(x^5+2x^4-x-2\)
Counting sign +,+,-,-
Sign change is only 1 time
Hence 1 or 3 real root
Now substitute every x with -x and counting again
f(-x) = \(-x^5+2x^4+x-2\)
Sign change -,+,+,-
Sign changes 2 times
Hence 2 imaginary roots
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Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)? A. x2 + y2 + 41 = 0 B. x2 + y2 − 41 = 0 C. x2 + y2 + x + y − 41 = 0 D. x2 + y2 + x − y − 41 = 0
The general form of the equation for the given circle centered at O(0, 0) is x^2 + y^2 = 41
How to determine the general form of the equation for the given circle centered at O(0, 0)?The given parameters are
Center = (0, 0)
Point = (4, 5)
Rewrite the given parameters are
(a, b)= (0, 0)
(x, y) = (4, 5)
The general form of the equation for the given circle is represented as:
(x - a)^2 + (y - b)^2 = r^2
Substitute the known values in the above equation to calculate the radius r
(4 - 0)^2 + (5 - 0)^2 = r^2
Evaluate the difference
4^2 + 5^2 = r^2
Evaluate the exponent
16 + 25 = r^2
Evaluate the sum
41= r^2
Rewrite as
r^2 = 41
Substitute r^2 = 41 in (x - a)^2 + (y - b)^2 = r^2
(x - a)^2 + (y - b)^2 = 41
Substitute (a, b)= (0, 0) in (x - a)^2 + (y - b)^2 = 41
(x - 0)^2 + (y - 0)^2 = 41
Evaluate the difference
x^2 + y^2 = 41
Hence, the general form of the equation for the given circle centered at O(0, 0) is x^2 + y^2 = 41
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1. If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial.
Answer:
\( {x}^{2} + 6x + 5\)
Step-by-step explanation:
Required polynomial
\( {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^{2} - ( - 6)x + 5 \\ \\ = {x}^{2} + 6x + 5\)
Rewrite in radical form
(-4)^{2/7} in radical form is 7√16
What are radicals?A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.
In fractional Indices, when the power or exponent of a number is in fraction, the denominator is the root while the numerator is the power.
For example, 2^{2/3} is an example of expression with fractional exponents. Here 2 is the power and 3 is the root.
2² = 4
2^{2/3} = 3√4
Similarly the expression (-4)^{2/7}
(-4)² = 16
(-4)^{2/7} = 7√16
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108 identical books have a mass of 30kg find the mass of 150 books
Answer:
108÷30=(3.6)kg of one book
3.6×150=54kg
Can someone please help me
Answer:
no
Step-by-step explanation:
preguntaste si alguien te podia ayudar y no puedo. gracias por su comprensin
Bob and Meena play a two-person game which is won by the first person to accumulate 10 points. At each turn Bob gains a point with probability of $\frac{1}{3}$ . If he doesn't get a point, then Meena gets a point. Meena is now ahead 9 to 8. What is the probability that Meena will win
the probability that Meena will win = 8/9
What is the probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.
According to the given information:Meena must triumph in the subsequent turn or the one after it in order to win; else, she loses. The likelihood of that is determined by deducting the likelihood of the complimentary event, Bob winning in the following two turns, from one. The likelihood of Bob winning the following two turns may be calculated by taking the square of the probability of him winning on one turn because each turn is independent of the others; hence, it is
= (1/3)^2
= 1/9
the probability that Meena will win = 1- 1/9
= 8/9
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eleven baseballs are randomly selected from the production line to see if their stitching is straight. over time, the company has found that 87.6% of all their baseballs have straight stitching. if exactly seven of the eleven have straight stitching, should the company stop the production line?
The probability of seven baseballs having straight stitching is relatively high which is 0.309, so the company does not need to stop the production line.
As per the given information in the question:
Probability of baseball having straight stitching
= 87.6%
= 0.876
Probability of baseball not having straight stitching
= 1-0.876
= 0.124
We need to find out whether the company should stop the production line if exactly seven of the eleven have straight stitching or not.
P(X=7) = (\(C^{11}_7\)) × 0.876⁷ × 0.124⁴
= (330) × (0.377) × (0.0025)
= 0.309
Therefore, the probability of exactly seven baseballs having straight stitching is 0.309.
The company should only stop the production line if the probability of baseballs having straight stitching is very low.
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Can you help me
(1). If f(x)=|x−5|+3, find f(2).
11
6
4
0
(2). If f(x)=8−3|x+2|, find f(−6).
−16
−4
4
20
(3). What is the turning point of the graph of f(x)=|x−2|+3?
(2, −3)
(2, 3)
(−3, 2)
(3, 2)
(1).
f(x) = |x − 5| + 3
f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6
(2).
f(x) = 8 − 3|x + 2|
f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 − 12 = − 4
(3).
For f(x) = |x − h| + k the turning point is (h, k), so:
f(x) = |x − 2| + 3 ⇒ the turning point is: (2, 3)
The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
1) The function is,
⇒ f(x) = |x−5| + 3
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
3) The function is,
⇒ f(x) = |x−2| + 3
Now,
1) The function is,
⇒ f(x) = |x−5| + 3
Put x = 2;
⇒ f (2) = |2 - 5| + 3
⇒ f (2) = 3 + 3
⇒ f(2) = 6
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
Put x = - 6;
⇒ f (- 6) = 8 - 3 |- 6 + 2|
⇒ f (-6) = 8 - 3 × 4
⇒ f(-6) = 8 - 12
⇒ f (- 6) = - 4
3) The function is,
⇒ f(x) = |x−2| + 3
We know that;
Turning point of the function f (x) = |x - h| + k are (h, k)
So, By comparing we get;
The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).
Thus, The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
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There are 18 girls and 12 boys on the swim team. What FRACTION of the team is made up of boys?
Answer:
12/30
Step-by-step explanation:
Hope this helps man. Have a GREAT day.
Sincerly, lipor
A 12/30 fraction of the team is made up of boys.
What is a fraction?A fraction is defined as part of a whole.
The total number of team members is
12+18=30
The number of boys on the team is 12.
Hence, the fraction of boys o the team is 12/30.
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Find the slope that passes through the points
(3, 5) and (7, 17)
Answer:
y=3x-4
Step-by-step explanation:
Imagine some DEQ: y'=f(x,y), which is not given in this exercise.
Use Euler integration to determine the next values of x and y, given the current values: x=2, y=8 and y'=9. The step size is delta_X= 5. 2 answers
Refer to the LT table. f(t)=6. Determine tNum,a,b and n. 4 answers
Using Euler integration, the next values of x and y can be determined as follows:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
What are the updated values of x and y using Euler integration?Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.
To determine the next values of x and y, we use the following formulas:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
Substituting the given values into the formulas, we have:
x_next = 2 + 5 = 7
y_next = 8 + 5 * 9 = 53
Therefore, the updated values of x and y using Euler integration are x=7 and y=53.
It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.
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Write 56% as a fraction in simplest form.
Answer:
\(\frac{14}{25}\)
Step-by-step explanation:
per cent means 'out of 100 ' , then
56%
= \(\frac{56}{100}\) ( divide numerator/ denominator by 4 )
= \(\frac{14}{25}\) ← in simplest form
The population of a city was 195 thousand in 1992. The exponential growth rate was 1.2% per year.
..
a) Find the exponential growth function in terms of t, where t is the number of years since 1992.
P(t)=____
well, we know that it was 195 in 1992, so "t" years later that'd be
\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &195\\ r=rate\to 1.2\%\to \frac{1.2}{100}\dotfill &0.012\\ t=years\dotfill &t\\ \end{cases} \\\\\\ A=195(1 + 0.012)^{t} \implies A =195(1.012)^t\)
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Therefore, the equations that represent circles with a diameter of 12 units and a center on the y-axis are: x² + (y - 3)²=36 and x² + (y + 8)²=36.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two expressions separated by an equals sign (=). The expression on the left side of the equals sign is called the left-hand side (LHS), and the expression on the right side of the equals sign is called the right-hand side (RHS). Solving an equation means finding the value of the variable that makes the equation true. I
Here,
A circle with diameter 12 units and center on the y-axis has its center at (0, c), where c is a constant. The radius of the circle is half the diameter, which is 6 units.
The equation of a circle with center (0, c) and radius r is given by:
x² + (y - c)² = r²
Substituting r = 6 and simplifying, we get:
x² + (y - c)² = 36
The only two equations among the options given that match this form are:
x² + (y - 3)² = 36 (center at (0,3))
x² + (y + 8)² = 36 (center at (0,-8))
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Factor the given quadratic function x2 + 9x = 36.
Answer:
(x + 12)(x - 3)
Step-by-step explanation:
\( {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0\)
A system of equation is shown
y=-2x+b
y= 3x+b
What value of b is required so that the system has the solution (0,6)
b=
Please no link I need help badly!
Answer:
The answer is 6
Step-by-step explanation:
(0,6)
x=0,y=6
Substituting 0 for x and 6 for y
6=2(0) + b
6=b
or
6 = 3(0)+b
6=b
Therefore, b=6
Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable
An equation that mode the relationship between thee two variable is y=2x+3 .
Let x represent the number of 6-month period worked
Let y represent the total number of paid vacation day
According to the question,
When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.
Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19
An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).
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Josh paid for three books with two $20 bills. He received $1 in change. Each book was the same price. How much did each book cost?
Martha is starting to save for a new laptop. She has been keeping track of her savings every day. The graph shows the number of days since she started keeping track and the amount of money in her savings.
She would like to figure out when she might have the $350 she needs to buy the laptop. She wonders if she could use her new math skills on linear regression to help figure it out.
What do you think? Would a linear model be appropriate for this data?
Answer:
tell martha to buy huwei matebook x 2020 , its a good one
Step-by-step explanation:
if there are 5 apples to every 3 oranges in a bin which graph represents the proportional relationship of the fruit in the bin
Answer:
the graph can be x-y=2
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
I took the test
also you should show the graph so that people who didnt take the test can also answer
(o゚v゚)ノ
X+4,x+12,x-1 and x+5 are in proportion.find the value of x
Answer:
Step-by-step explanation:
As they are in proportion,
x +4 : x +12 :: x -1 : x + 5
Product of means = Product of extremes
(x + 12)(x -1) = (x +4)(x+5)
Use FOIL method for polynomial multiplication
x*x + x*(-1) + 12*x + 12*(-1) = x*x + x*5 + 4*x + 4*5
x² - x + 12x - 12 = x² + 5x + 4x + 20
Combine like terms
x² + 11x - 12 = x² + 9x + 20
x² + 11x - 12 - x² - 9x - 20 = 0
Combine like terms
x² - x² + 11x -9x -12 -20 = 0
2x - 32 = 0
2x = 32
x = 32/2
x = 16
Q.4 What is the difference between price floors and price ceiling? Give example and illustrate graphically in support of your answer.
A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold
Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.
Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.
If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.
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If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is
The most the salon would be willing to pay that groomer is $25×4 = $100.
What is unitary method?The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.
Some key features regarding the unitary method are-
It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.To know more about the unitary method, here
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HELP ! The angle measurements in the diagram are represented by the following expressions.
A= 6x – 2
B= 4x + 48
solve for x and then find the measure of a
Answer: 148
Step-by-step explanation:
Answer:
148
Step-by-step explanation:
khan
An experimenter conducted a two-tailed hypothesis test on a set of data and obtained a p-value of 0.44. If the experimenter had conducted a one-tailed test on the same set of data, which of the following is true about the possible p-value(s) that the experimenter could have obtained? 0.94 (A) The only possible p-value is 0.22. (B) The only possible p-value is 0.44. The only possible p-value is 0.88. (D) T'he possible p-values are 0.22 and 0.78.18 (E) The possible p-values are 0.22 and 0.88. az
The correct answer is (E) The possible p-values are 0.22 and 0.88.
If the experimenter conducted a one-tailed hypothesis test on the same set of data, the possible p-value(s) that they could have obtained would depend on the direction of the test.
In a one-tailed test, the hypothesis is directional and the experimenter is only interested in one side of the distribution (either the upper or lower tail). Therefore, the p-value would only be calculated for that one side.
If the original two-tailed test had a p-value of 0.44, it means that the null hypothesis was not rejected at the significance level of 0.05 (assuming a common level of significance).
If the experimenter conducted a one-tailed test with a directional hypothesis that was consistent with the direction of the higher tail of the original two-tailed test, then the possible p-value would be 0.22 (half of the original p-value). If the directional hypothesis was consistent with the lower tail of the original two-tailed test, then the possible p-value would be 0.88 (one minus half of the original p-value).
Therefore, the correct answer is (E) The possible p-values are 0.22 and 0.88.
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Please answer
I will give points
Answer:
[C] 3 3/4 Miles
Step-by-step explanation:
Given:
Zoe jogs 3/4 of a mile every 1/5 of an hour.
How many miles does Zoe jog per hour?
[A] 3/20 Miles
[B] 4/15 Miles
[C] 3 3/4 Miles
[D] 6 2/3 Miles
Solve:
Since, Zoe jogs 3/4 of a mile every 1/5 hour. And 5/5 = 1 hour.(Also known as 60 minutes) Which means 1/5 is 12 minutes. In order to find how much Zoe jogs per hour, we have to multiply.
Knowing that;
1/5 = 12 minutes
2/5 = 24 minutes
3/5 = 36 minutes
4/5 = 48 minutes
5/5 = 60 minutes (1 Hour)
Hence, 3/4 Multiply by 5.
3/4 × 5 = 3.75 = 15/4 = 3 3/4
As a result, Zoe jogs 3 3/4 miles per hour.
RevyBreeze
has four congruent sides, exactly two pairs of congruent opposite angles, and its diagonals are perpendicular. it is called by ___
On solving the provided question, we can say that from given information that - rhombus has four congruent sides, exactly two pairs of congruent opposite angles, and its diagonals are perpendicular
what is rhombus?Rhombuses are quadrilaterals with all four sides being equal in Euclidean plane geometry. Equilateral triangles are rectangles with equal-length sides, also known as equilateral quadrilaterals. By definition, a square is also a rhombus as a rhombus is a quadrilateral with four congruent sides. Greek word rhómbos, which meaning "spinning top," is the source of the English term "rhombus." Its meaning is "bull form," as in the animal's shape. This results in a loud noise and the object attached to the string spinning.
Only two quadrilaterals—the square and rhombus—have four congruent sides among all quadrilaterals. At this point, the square has only right angles, but the rhombus has one opposing pair of obtuse angles. Rhombus is the solution, thus.
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What value of x is in the solution set of the inequality –5x – 15 > 10 + 20x?
–2
–1
0
1
collecting like terms
-5x-20x>10+15
-25x>25
divide both sides by -25
thus: x>25/-25
x>-1
Answer:
0.333333333
Step-by-step explanation:
-2x - 1 > 0 + 1x
Remove the 0 and collect like terms
-2× - 1> 1x
-3x> 1
Divide -3 and 1
-3X > 1
÷3 ÷3
Cancel the -3 and 3 sense they are the same and bring down the X
X> 1÷3X> 0.333333333
write this equation in factored form\(f(x)=2x^2-5x-3\)
Answer:
(x - 3) ( 2x+1)
Step-by-step explanation:
(x - 3) ( 2x+1)
2x^2 + x - 6x -3
2x^2 - 5x -3
So, my answer is right!