Answer:
x=2.5
Step-by-step explanation:
Find the zeros for each function
1. f(x)= x^3 + 12x^2 + 21x + 10
2. f(x) = x^4 + x^3 - 11x^2 - 9x + 18
9514 1404 393
Answer:
zeros are -10, and -1 (multiplicity 2)zeros are {-3, -2, 1, 3}Step-by-step explanation:
For higher-degree polynomials I find it extremely useful to use a graphing calculator to find the zeros.
The usual approaches are ...
use the rational root theoremtry values of x=±1narrow the search using Descartes' rule of signsestimate maximum or minimum root values__
1. Rational roots will be factors of 10, so ±1, ±2, ±5, or ±10. The signs are all positive, so there are no positive real roots. The sum of odd-degree coefficients is the same as the sum of even-degree coefficients, so -1 is one of the roots. Removing that using synthetic division gives you ...
f(x) = (x +1)(x^2 +11 +10)
The quadratic (more or less obviously) factors as (x+1)(x+10), so the complete factorization is ...
f(x) = (x +1)^2(x +10)
and the zeros are {-10, -1, -1}.
__
2. Rational roots will be factors of 18, so will be ±1, ±2, ±3, ±6, ±9, ±18. The sum of coefficients is 0, so x=1 is a root. The rule of signs tells you that there are 2 positive real roots, so there is one more positive real root. Synthetic division tells you the factoring so far is ...
f(x) = (x -1)(x^3 +2x^2 -9x -18)
We note that the first two coefficients have the same ratio as the last two, so we can factor by grouping.
x^3 +2x^2 -9x -18 = x^2(x +2) -9(x +2) = (x^2 -9)(x +2)
Factoring the difference of squares gives you the complete factorization, hence all of the roots. (The zeros are the values of x that make the factors zero.)
f(x) = (x -1)(x +2)(x -3)(x +3)
The zeros are {-3, -2, 1, 3}.
You buy a winter jacket on sale for 40% off. You pay $54 for the jacket. What was the original cost? Show your work.
Answer:
original cost is 135$
Step-by-step explanation:
100%×54$÷40%= 135
A box of fruit gummies from Sam’s Club has 36 individual packs. If the box is $8.64, what is the price per pack of gummies?
HELP HELP MEEEEE HELPPPPPPPPPPPPPPPPPPP
Answer:
Add your brain then get smart
What is a way that you use synthesis in your everyday life?
Answer:
shopping for a car
Step-by-step explanation:
lets say you want to buy a new car, you ask yourself, hmm, which one is the best for me. or which car has the best milage. those type of things
In December, the average number of daily shoppers at North Point Mall in 2007 was 1600. This number shrank to 1000 daily shoppers by December 2014. What is the exact percent decrease in the average number of daily shoppers? Show your work.
Answer:
you trying to cheat
Step-by-step explanation:
the answer is 62.5% percent.
Which point is a solution to the given system of inequalities
The points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To determine which point is in the solution set of the given system of inequalities, we need to check each point to see if it satisfies both inequalities.
A) (2, 0)
Plugging in the values of x=2 and y=0 into the inequalities, we get:
2+0 ≥ 2 which is true, and
4(2)+0 ≥ -1 which is true.
Therefore, point A (2, 0) is in the solution set of the given system of inequalities.
B) (0, 2)
Plugging in the values of x=0 and y=2 into the inequalities, we get:
0+2 ≥ 2 which is true, and
4(0)+2 ≥ -1 which is true.
Therefore, point B (0, 2) is in the solution set of the given system of inequalities.
C) (0, 3)
Plugging in the values of x=0 and y=3 into the inequalities, we get:
0+3 ≥ 2 which is true, and
4(0)+3 ≥ -1 which is true.
Therefore, point C (0, 3) is in the solution set of the given system of inequalities.
D) (0, -1)
Plugging in the values of x=0 and y=-1 into the inequalities, we get:
0+(-1) ≥ 2 which is false, and
4(0)+(-1) ≥ -1 which is false.
Therefore, point D (0, -1) is not in the solution set of the given system of inequalities.
Hence, the points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
Which point is in the solution set of the given system of inequalities?
x+y≥2
4x+y≥-1
A-(2, 0)
B-(0, 2)
C-(0, 3)
D-(0, –1)
7,-6, 6 ___ ____>____ 1, ¼, ½ ____>____>____ -50,10,0 ____ _____>_____ -82,-93,-104 ____ _____>______ 11 ¼,11, 11 ½ ____ _____>______
Answer:0-0
Step-by-step explanation:
Round 48.612 to the nearest whole number.
the name below shows the distributions of tv’s in students homes:
0 = .02
1 = .33
2 = .52
3 = .09
4 = ?
Answer:
might be 4+.16
Step-by-step explanation
I dont really know the answear i am just going off of what i know
So you are going to divide the decimal by the number of tv's in the house
So 4 Might be .16
sorry if it is wrong
Are these triangles congruent ?
And what is the theorem ?
I will give a brainlist for the correct answer :)
4. After taking 20% off the original price, Amber paid $35 for her dress. What was the original price? A. $63.75 B. $54.25 O C. $49.50 D. $43.75
Answer: D. $43.75
Step-by-step explanation:
Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 6r
and height 6h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?
Answer:
the surface area of cylinder B is four times the surface area of cylinder A
Can anyone help me with this? If u are going to answer please know what u are doing
Answer:
x- intercept (5, 0)
y- intercept (0, 2)
Step-by-step explanation:
x- intercept occurs at y= 0.
To find the x- intercept of the linear equation, substitute y= 0 into the equation.
4x +10y= 20
When y= 0,
4x +10(0)= 20
4x= 20
x= 20 ÷4 (÷4 on both sides)
x= 5
Thus, the x-intercept is (5, 0).
y-intercept occurs at x= 0.
4x +10y= 20
When x= 0,
4(0) +10y= 20
10y= 20
y= 20 ÷10 (÷10 on both sides)
y= 2
Thus, the y-intercept is (0, 2).
The total delivery charge for delivering 4 pizzas is $9.00. At this same rate, how much would the total delivery charge be for delivering 12 pizzas?
Answer:
27
Step-by-step explanation:
9.00 divided by 4 = 2.25
2.25 x 12 = 27
Answer:
$27
Step-by-step explanation:
First, you would take 12(amount of pizzas the question is asking) divided by 4(amount of pizzas) and get 3
Then you multiply $9.00(the delivery fee for 4 pizzas) by 3(how much pizzas the question is asking divided by 4) and get $27
12 divided by 4 = 3
3 times $9.00 = $27
19. If x + 3 is a factor of the
polynomial h(x), then_____
is a zero or solution.
If x + 3 is a factor of the polynomial h(x), then -3 is a zero or solution.
how to answer this. help me
Answer:
fsfsgsgsgsgsgsgsgsgsgssgsgsgsgsgegeveg
Mr.smith has a maximum of $50 to spend at a museum a ticket to the museum cost $7 he can spend p dollars to buy other things at the museum which inequality can be used to find the possible values for p?
Answer:
https://brainly.com/question/11804436
Step-by-step explanation:
USE LINK!!!!
What is the distance between -4 and -2?
Answer: 2
Step-by-step explanation:
Distance is always positive
Answer:
2
Step-by-step explanation:
Think of it as a number line, and just as the distance between 2 and 4 is 2, there is no change here.
Which of the following should you do first when solving the equation 2x-7=3x-2(x+8)
Answer:
multiply 3x-2(x+8)
Step-by-step explanation:
PEMDAS
also you must simplify both sides to solve this problem and that's the first step to simplifying this side (the other one is simplified)
Answer:
You should start the question of by distibuting the group 2(x+8)
Step-by-step explanation:
This is the most imoortant step to start off with because of:
GEMDAS
group, exponent, multiply, divide, add and subtract
Yoo wassup who here cuz they dont pa
Answer:
i also dont pa
Step-by-step explanation:
.
¿el numero 2 es numero primo o compuesto?
can someone please help :/? the question is in the picture
Answer:
I'm pretty sure the answer is B
The tablet below represents ordered pairs that satisfy the functions f(x) and g(x). If f(x)=4x, which statements are true of g(x)? Select two options
By looking at the table, we can see that the value for g(x) is always f(x)-1. Thus we can conclude that
[tex]g(x) = 4^x-1[/tex]
Now, think about the graph. For every value of y in f(x), the value of y in g(x) will be reduced by one. This means that the graph is translated down 1 unit!
The domain of both functions is actualy the same, that is, [tex]x\in\mathbb{R}[/tex].
However, the range won't be the same. As [tex]x[/tex] approaches negative infinity, the exponentials always approaches zero. Thus, f(x) has range between zero and positive infinity. But, for g(x), we are subtracting one unit from the Y values, therefore the range will be between negative one and positive infinity. In conclusion, their range is different.
Overral: The true statements are the second and the fourth only
Beck finished 30% of his homework in 12 minutes. How many minutes will it take him to complete all of his homework?
Part A
Let m = the number of minutes it will take Beck to finish his homework.
Choose the equation that can be used to find a solution to the problem.
A) 0.03m = 12
B) 12m = 0.3
C) m = 0.3 × 12
D) 0.3m = 12
Part B
Use the expression from Part A to find the total number of minutes it will take Beck to complete all of his homework.
Enter your answer in the box.
_________minutes
Answer: The answer is 40 minutes.
Equation: If m is the total number of minutes it takes him to complete his homework, 30% of m is given by 0.3m. Since 30% was done in 12 minutes, we have 0.3m=12.
the product of 3 and the sum of7 and s
Answer:
the expression would be 3(7+s)
20points please please help!!!!!!
6(5x-3) what is the answer to this
Answer:
= 30x − 18
Step-by-step explanation:
Answer: 30x - 18
Step-by-step explanation:
first, we multiply the parentheses by 6.
6 x 5x - 6 x 3
then, we calculate/multiply.
30x - 18
eighteen individuals who use a particular form of social media were assigned a new user interface to use when logging into their accounts. after using the new user interface for a week, each individual was asked to rate how easy or hard the new user interface was to use on a scale from 1 (extremely easy) to 9 (extremely hard). which of the following correctly identifies why this is not a well designed experiment?
A. There was a lack of control because not all individuals in the study used login passwords of the same length
B. The individuals may not have been randomly selected
C. There was not enough replication because the individuals used the new user interface for only one week.
D. there was a lack of control because not all individuals in the study use social media
E. the study was not comparative- only one treatment was used.
Answer:
E: The study was not comparative—only one treatment was used.
Step-by-step explanation:
Well-designed experiments should involve comparisons of at least two treatment groups, one of which could be a control group.
A well-designed experiment investigates design features that achieve the research to rule out sources of variation as reasons for the observed relationship between both the independent variable(s) and the predictor variables.
Studies that are well should include a comparison of at least two treatments, one of which may be a controlled study.Eighteen people using a specific type of social media are given a different user interface to utilize when login onto their account. After a day of just using the new user interface, each participant was asked to rate as difficult or easy it was to use the new interface on a scale of 1 to 9.The study was not properly comparative since it identified just one treatment that was not used as the well-designed study.Therefore, the final answer is "Option E".
Learn more:
brainly.com/question/11496679
An investor has an opportunity to invest in three companies. She researched each company and collected the information in the table below. Which company would provide the best investment?
Probability of Profit and Loss by Company
Company
Loss,
Probability of Loss
Probability to Break Even
Profit,
Probability of Profit
A
$24,000, 16%
50%
$10,000, 34%
B
$12,000, 32%
40%
$21,000, 28%
C
$6,000, 23%
17%
$5,000, 60%
company A
company B
company C
All companies have a probability of loss.
Answer:
Company B
Step-by-step explanation:
Company A is the best investment decision. Why? its total probability of profit and breaking even is the greatest of all the three companies. Also, its the probability of making a profit is higher than that of making a loss.
How the Investment Decision was madeThe chance that a company will not make a loss is the sum of its break-even probability and that of its profitability. This probability for all companies is given below:
Company A = 50 + 34 = 84%Company B = 40 + 28 = 68%Company C = 17 + 60 = 77%The probability of Loss is highest in Company B so this is not the best option.
The probability of profit is lowest in Company C so this is not the best option. Hence, A is the best investment decision.
See the link below for more about Investment Decision:
https://brainly.com/question/11785270