Since the zeroes are 1/3 which has multiplicity 2, -4 and i, then
The factors of the polynomial are
[tex]x=\frac{1}{3}\rightarrow3x=1\rightarrow(3x-1)\rightarrow(3x-1)^2[/tex][tex]x=-4\rightarrow(x+4)[/tex][tex]x=i\rightarrow(x-i)(x+i)\rightarrow x^2-i^2\rightarrow(x^2+1)[/tex]Multiply the 3 factors
[tex]\begin{gathered} (3x-1)^2=(9x^2-6x+1) \\ U=(9x^2-6x+1)(x+4)(x^2+1) \end{gathered}[/tex]Multiply The first 2 brackets
[tex]U=(9x^3+36x^2-6x^2-24x+x+4)(x^2+1)[/tex]Add the like terms in the 1st bracket
[tex]U=(9x^3+30x^2-23x+4)(x^2+1)[/tex]Multiply the 2 brackets
[tex]U=9x^5+30x^4-23x^3+4x^2+9x^3+30x^2-23x+4[/tex]Add the like terms
[tex]U=9x^5+30x^4-14x^3+34x^2-23x+4[/tex]Since the leading coefficient is 63, multiply all terms by 7
[tex]U=63x^5+210x^4-98x^3+238x^2-161x+28[/tex]7. Here is an inequality: -7- (3x+2) <-8(x + 1)
Select all the values of x that are solutions to the inequality.
A. x = -0.2
B. x = -0.1
C.x=0
D. x = 0.1
E. x = 0.2
F. x = 0.3
(From Unit 2, Lesson 19.)
Answer:
A,B,C,D
Step-by-step explanation:
-7-(3x+2) <=8(x+1)
-7-3x-2<-8x-8
5x<1
x<1/5
x= -0.2, X=-0.1, X=0, X=0.1
The values of x that are solutions to the inequality are C (x = 0) and D (x = 0.1).
Given inequality: -7 - (3x + 2) < -8(x + 1)
Let's solve the inequality step by step:
Distribute the -8 on the right side:
-7 - 3x - 2 < -8x - 8
Combine like terms on both sides:
-9 - 3x < -8x - 8
Add 8x to both sides to isolate the variable terms on one side:
8x - 3x - 9 < -8
Simplify the left side:
5x - 9 < -8
Add 9 to both sides:
5x < 1
Divide both sides by 5 (since 5 is positive, the direction of the inequality does not change):
x < 0.2
Now, let's compare the solutions to the given options:
A. x = -0.2: Not a solution (not less than 0.2)B. x = -0.1: Not a solution (not less than 0.2)C. x = 0: Solution (0 is less than 0.2)D. x = 0.1: Solution (0.1 is less than 0.2)E. x = 0.2: Not a solution (not less than 0.2)F. x = 0.3: Not a solution (not less than 0.2)So, the values of x that are solutions to the inequality are C (x = 0) and D (x = 0.1).
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What can be subtracted from 1/2 to equal 1/5
Find the value of 6f + 7g when f= -3 and g = 2
Pls help thanks
Answer: 6f+7g=6*-3+7*2=-4
Step-by-step explanatiomn]]
Answer:
-4
Step-by-step explanation:
6(-3)+7(2)
-18+14
-4
what is one hundred three thousand thirty three in standard form?
Answer:
103,033
Step-by-step explanation:
Evan runs a website that has gotten popular. However, it's popularity is decreasing
and the site is now getting 7% fewer hits each week. If Evan's site got 34,000 hits
this week, how many hits can he expect 3 weeks from now? (Round to the nearest
whole number).
27,348
134,369
714,000
41,651
Answer:
27,348
Step-by-step explanation:
Answer: W h y d i d y o u
Step-by-step explanation:
What is the slope of the line shown below?
(-1,-4)
(2, 2)
Answer:
2
Step-by-step explanation:
To find the slope, you need to use the term y2-y1/x2-x1
To do this, first do:
-4-2:
-6
Now, do -1-2=
-3
Now, since -6/-3 has two negatives, the fraction will turn into
6/3
Now simplify
2.
The slope of the line is two.
a biased coin lands heads with probability 2/3. the coin is tossed three times. a) given that there was at least one head in the three tosses, what is the probability that there were at least two heads? b) use your answer in a) to find the probability that there was exactly one head, given that there was at least one head in the three tosses.
The probability that one head in the three tosses, at least two heads is 0.7692, and the probability that exactly one head, at least one head in the three tosses is 0.2308.
What is a toss?
Probability indicates the likelihood of an event.That whenever a coin is tossed, there are only two possible outcomes. Head and Tail are those. In light of the probability formula above, the coin toss probability calculation is as follows:Formula for Probability of a Coin Toss: (Number of Successful Outcomes) (Total occurances of possible outcomes)
It's a binomial distribution with n=3, P=2/3
(a) P(one head in the three tosses, at least two heads)
P(x≥2 | x≥1)=[P(x≥2)∩P(x≥1)]/P(x≥1)
=0.7407/0.9630
=0.7692
(b) P(exactly one head, at least one head in the three tosses)
P(x=1 | x≥1)=[P(x=1∩ (x≥1)]/P(x≥1)
=0.222/0/9630
=0.2308
The probability that one head in the three tosses, at least two heads is 0.7692, and the probability that exactly one head, at least one head in the three tosses is 0.2308.
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what is the answer to [tex]2(10 + n) = 16[/tex]
The initial expression is:
[tex]2(10+n)=16[/tex]So first we can divide by 2 so:
[tex]\begin{gathered} 10+n=\frac{16}{2} \\ 10+n=8 \end{gathered}[/tex]now we rest 10 in bout sides so:
[tex]\begin{gathered} n=8-10 \\ n=-2 \end{gathered}[/tex]Sadie is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=1.9x+3y=1.9x+3, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What could the number 1.9 represent in the equation?
A: the initial change in time
B: how far sarah can ride for $1
C: How much the taxi cost per mile
D: the total charge for one mile
The number 1.9 represent in the equation means C. How much the taxi cost per mile
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario
In this case, the equation to represent her total cost is y = 1.9x+3. In this case, the x represents the number of miles. Therefore, 1.9 represent the cost for each miles that travelled.
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Please Help me to answerthe questions and options are in picture
Evelyn has initially $524.96, then she paid $32.50, so she will have less than $500. In order to have at least $500, she needs to deposit the value x.
So the initial value, minus the value paid, plus the deposit needs to be greater than or equal 500, so we have the inequality:
[tex]524.96-32.5+x\ge500[/tex]Solving this inequality for x, we have:
[tex]\begin{gathered} 492.46+x\ge500 \\ x\ge500-492.46 \\ x\ge7.54 \end{gathered}[/tex]Therefore the correct option is the first one (a).
Help pls............................
Answer:
the 2nd, 3rd, 5th
i hope this helps :)
whats the G.C.F for 25 and 40 help me
Answer:
5
Step-by-step explanation:
G.C.F means greatest common factor
this means the highest number that will go into both 25 and 40
5 is the highest number that will divide into both
The price that Abigail paid for her snowboard, $77, is less than what Dan paid by $10. How much did Dan pay for his
snowboard?
2ab-ab+2a+3b+2ab simplified
Answer:
3ab + 2a + 3b
Step-by-step explanation:
I need help on this equations.
A. y = 1x +4
B. y = -2x +4
C. y = -6
D. x = 1
The current student population of Memphis is 2900. If the population increases at a rate of 10.7% each year. What will the student population be in 10 years?Write an exponential growth model for the future population P(x) where x is in years:P(x)=What will the population be in 10 years? (Round to nearest student)
Given:
Current population = 2900
rate of increase = 10.7% each year
The exponential growth formula is defined as:
[tex]\begin{gathered} P\text{ = P}_0e^{rt} \\ Where\text{ P}_0\text{ is the initial population} \\ r\text{ is \% growth rate} \\ and\text{ t is time in years} \end{gathered}[/tex]Substituting the given values:
[tex]P(x)\text{ = 2900e}^{0.107x}[/tex]Hence, the exponential model is:
[tex]P(x)\text{ = 2900e}^{0.107x}[/tex]The population in 10 years
We substitute 10 for x in the equation above and solve:
[tex]\begin{gathered} P(x=10)\text{ = 2900e}^{0.107\times10} \\ =\text{ 8454.6005} \\ \approx\text{ 8455 students} \end{gathered}[/tex]Hence, the population of the students after 10 years would be 8455 students
what will increase the width of a confidence interval? a) increase number in sample b) decrease confidence level. c) decrease variance d) increase variance.
The width of a confidence interval decreases as the sample size increases and increases as the confidence level increases.
What is a confidence interval?A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a certain confidence level; the 95% confidence level is the most commonly used, although other levels, such as 90% or 99%, are also employed.So, we know that smaller samples result in narrower intervals.
With a higher sample size, we can more precisely estimate a population proportion.Therefore, a confidence interval narrows as the sample size grows and widens as the level of confidence rises.
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Which expressions are equivalent to the given expression? square root of 40
Answer:
Step-by-step explanation:
√40 = √4*√10
= 2√10 is one equivalent expression
HELP ASAP
Use what you know about trapezoid properties to solve for x. Confirm the angle measure.
83⁰
X =
Angle (-x +33) =
(-x +33)
degrees.
8 9
10
11
Answer:
the answer is x = -50° and the angle measures 83°
Step-by-step explanation:
in this trapezoid, the angles adiacent to each base have se same amplitude, so:
-x + 33 = 83°. this means the answer is -50 because
-(-50) + 33 = 50 + 33 = 83
1. (02.06 mc) a car travels 25.0 miles due east for one hour. then it travels another 60.0 miles east for an additional hour. what is the average velocity of the entire trip? (2 points) 17.5 mph east 35.0 mph east 42.5 mph east 85.0 mph east
The average velocity of the entire trip is 42.5 mph east
An object's average velocity is calculated by dividing its total displacement by its total travel time.
It measures how quickly an object shifts from one location to another.
It is a Vector magnitude
For one hour, an automobile travels 25.0 miles due east.
Then it continues for an extra hour and travels another 60.0 miles east.
We must determine his overall journey average speed.
He does the entire journey going straight east.
He travels a total distance of 25 + 60 = 85 miles east.
He takes an hour to get there from here and another hour to get there from there.
The total travel time is 1 + 1 = 2 hours.
Total displacement times total time equals the average velocity.
His average speed = 85 ÷ 2 = 42.5 miles/hour east
The average velocity of the entire trip is 42.5 mph east
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I only need 3 and 4 done Explain your reasoning and find the measures of the numbers
3) The measures of the numbers are ∠1 =∠3 = ∠4 = ∠6 = 139° and ∠2 = ∠5 = ∠7 = 41°
4) The measures of the numbers are ∠1 =∠3 = ∠5 = 117° and ∠2 = ∠4 = ∠6 =∠7 = 63°
3.) ∠2 = 41° ( By Vertical Angles Theorem, vertically opposite angles are congruent and equal.)
41° + ∠4 = 180°(Same Side Interior Angles Theorem, when a transversal connects two parallel lines, the interior angles on the same side are supplementary.)
∠4 = 180° - 41° = 139°
∠3 =∠4 = 139°(By the Alternate angle theorem, alternate interior angles are congruent.)
Similarly, ∠5 = 41°
∠1 =∠4 = 139°(By Corresponding Angles Postulate, corresponding angles are congruent in parallel lines are cut by a transversal.
∠4 =∠6 = 139° and ∠7 =∠5 = 41°(By Vertical Angles Theorem, as they both are pairs of vertically opposite angles)
4) ∠5 = 117° (By Vertical Angles Theorem, vertically opposite angles are congruent and equal.)
117° + ∠4 = 180° (By Same Side Interior Angles Theorem)
∠4 = 180°- 117° = 63°
∠2 = ∠4 = 63° (By Vertical Angles Theorem)
∠2 = ∠6 = 63° (By Corresponding Angles Postulate)
∠3 = 117° (By Corresponding Angles Postulate)
∠1 = ∠3 = 117° (By Vertical Angles Theorem)
∠6 = ∠7 = 63° (By Vertical Angles Theorem)
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5) How can we guarantee that a polynomial is not a perfect square, considering just the constant term? For instance, in 4, the constant term is -121, in 2, the constant term is 36. Which of them cannot be a perfect square and why, based only on the constant term?
Polynomials with a negative constant term are not perfect squares, hence polynomial 4, with constant term of -121, is not a perfect square.
What are perfect square expressions?Perfect square expressions are formed in two ways, either with the square of the sum or the square of the subtraction, as follows:
Square of the sum: (a + b)² = a² + 2ab + b².Square of the subtraction: (a - b)² = a² - 2ab + b².The constant term is the final term. Since this term is squared, it will always be positive for perfect squares, hence if the constant term is negative, it will guarantee that the polynomial is not a perfect square.
For the expressions in this problem, we have that:
The expression with a constant term of 36 can be a perfect square, as 36 is a positive number.The expression with a constant term of -121 cannot be a perfect square, as -121 is a negative number.More can be learned about perfect squares at https://brainly.com/question/14584348
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If a point divides a line segment into two congruent
line segments, then the point is a midpoint. Point P
divides LH into two congruent line segments.
use the law of detachment to determine what you can conclude from the given information, if possible.
help
Answer: Point P is a midpoint
Step-by-step explanation:
Which point is on the graph of the inverse function h–1(x)?
Solution:
Given:
The graph of the function h(x)
Picking any point on the graph as shown below,
Picking point (0,2) on the graph of the function h(x)
[tex]\begin{gathered} x=0 \\ y=2 \\ \\ \text{Hence, the point of the inverse function is gotten by interchanging the coordinates of the point } \\ ^{}^{} \end{gathered}[/tex][tex]\begin{gathered} \text{If the point of h(x) is }(x,y),thenh^{-1}(x)\text{ is (y,x)} \\ \\ \text{Hence, at (0,2) on h(x)}, \\ h^{-1}(x)\text{ will have the point (2,0)} \\ \\ \text{Also, at (1,0) on h(x),} \\ h^{-1}(x)\text{ will have the point (0,1)} \end{gathered}[/tex]Therefore, a point on the graph of the inverse function of h(x) is (2,0).
Another point on the graph of the inverse function of h(x) is (0,1).
pls help A rectangle has a length of 4.3 cm and a perimeter of 14.8 cm. Find the width of the rectangle.
cm
A rectangle has a length of 4.3 cm and a perimeter of 14.8 cm. The width of the rectangle is 3.1 cm.
What is a rectangle?A rectangle is a shape that has four right angles and whose adjacent lengths are not the same.
Given, the length L is 4.3 cm
The perimeter of the rectangle is 14.8 cm.
To calculate the perimeter = 2(l + w)
Putting the values:
14. 8 = 2(4.3) + 2w
Expand the bracket
14. 8 = 8. 6 + 2w
Collect like terms
2w = 14. 8 - 8.6
2w = 6. 2
Divide through by the coefficient of w
w = 6.2/2
w = 3.1 cm
Therefore, the width of the rectangle is 3.1 cm.
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If I throw a ball with an Initial velocity Vi=10 m/s with an angle Theta of 60 degrees above the Horizontal axis x, then the velocity Vx and Vy are
A. Vx= 5 m/s Vy=5 m/s
B. Vx= 8.66 m/s Vy=5 m/s
C. Vx= 5 m/s Vy=8.66 m/s
D. Vx= 6 m/s Vy=8 m/s
If I throw a ball with an Initial velocity Vi=10 m/s with an angle Theta of 60 degrees above the Horizontal axis x, then the velocity Vx and Vy are; C. Vx= 5 m/s Vy=8.66 m/s
What are the vertical and horizontal components of the velocity?
The formula to find the velocity of an object thrown at an angle is;
Horizontal velocity component; Vx = v_i*cosθ
Vertical velocity component; Vy = v_i*sinθ
where;
v_i is initial velocity
θ is angle at which object is thrown.
Now, we are given that;
Initial velocity; v_i = 10 m/s
Angle of throw; θ = 60°
Thus;
V_x = 10 * cos 60
V_x = 10 * 0.5
V_x = 5 m/s
V_y = 10 * sin 60
V_y = 10 * 0.8660
V_y = 8.66 m/s
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at a certain pizzeria, 1 8 of the pizzas sold in one week were mushroom and 1 3 of the remaining pizzas sold were pepperoni. if n of the pizzas sold were pepperoni, how many were mushroom?
The pizzas sold were (n + 5).
What is the meaning of sold?Past tense and past participle of sales. It is marketed with uncritically related or enthusiastic slang.Sold, for sale. Transfer (goods) to another person or provide (services) for money to another person. Sold to Buyer: He sold me the car for his $1000.If the last sale of the car took place during the talk time or is active, then the statement "This car has been sold 10 times" is correct.But if the last sale of that car happened before the time to speak "Goods Sold" are available. This is passive-past perfect tense means to convince someone that something is good, worthy or useful. Consider the following example:A filmmaker gave me the idea that my book would work on screen.To learn more about sold from the given link :
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If my grade is an 85 and i make a 67 on an assignment, what is my final grade
The percentage of your grade based on the final grade is 78.8%.
How to calculate the percentage?The information given is incomplete and the complete question is attached below. This was illustrated as "If my grade is an 85 and i make a 67 on an assignment, what is the percentage of my final grade?"
The following can be deduced based on the information illustrated:
Total grade = 85
Your grade = 67
It should be noted that the percentage will be:
= Your grade / Total grade × 100
= 67/85 × 100
= 78.8%
The percentage is 78.8%.
Note that the complete question is given below.
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If my grade is an 85 and i make a 67 on an assignment, what is the percentage of my final grade
can you please answer the question
Answer: maybe 1 ♀️
Step-by-step explanation:
What is 5 & 2/5 as a mixed fraction Halp brainlest to correct answer
Answer: 27/5.
Step-by-step explanation: 5 and 2/5 is already a mixed fraction, so I think you mean a improper fraction. If not, then its 5 and 2.5. Hope this helps.
