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}.
Solve for u
-5(-5u+5)-8u=5(u-5)-4
[tex] - 5( - 5u + 5) - 8u = 5(u - 5) - 4 [/tex]
[tex]25u - 25 - 8u = 5u - 25 - 4[/tex]
[tex]17u - 25 = 5u -29[/tex]
[tex]17u - 5u = - 29 + 25[/tex]
[tex]12u = - 4[/tex]
[tex]u = \frac{ - 4}{12} [/tex]
[tex]u = - \frac{1}{3} [/tex]
Evaluate: 10/ 12 • 2/ 3
Answer:
10/ 12 x 2/ 3 = 10/ 12 x 8/ 12 = 80/12 = 6 8/12
Pls mark brainliest, (Plz correct me if wrong)
Step-by-step explanation:
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!!!!
i give brainlilset nxgbkj,m.d/ed
q
PLEASE HELP!!
multiplying complex numbers standard form
3i(-5+i)
Answer:
-3-15i
Step-by-step explanation:
3i*-5 = -15i
3i*i = 3i^2 (i^2 = -1)
= -3-15i
which of the following shows these numbers in order from least to greatest?
[tex] \sqrt{213.16} [/tex]
[tex]14\frac{1}{3} [/tex]
15
[tex]13 \frac{12}{8} [/tex]
[tex] {2}^{4} [/tex]
[tex] \sqrt[3]{2197} [/tex]
9514 1404 393
Answer:
[tex]\sqrt[3]{2197}, 14\frac{1}{3}, 13\frac{12}{8}, \sqrt{213.16}, 15, 2^4[/tex]
Step-by-step explanation:
The values of the given numbers, in order, rounded to 1 decimal place are ...
[tex]\begin{array}{cc}\sqrt{213.16}&14.6\\14\frac{1}{3}&14.3\\15&15.0\\13\frac{12}{8}&14.5\\2^4&16.0\\\sqrt[3]{2197}&13.0\end{array}[/tex]
Their least-to-greatest ordering is shown above.
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:
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:
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An ant crawls across a yard. Its distance from an anthill
, as a function of time,
is modeled by y=-3x + 107.
Which statement best describes the function?
O
A. The function is linear at some points and nonlinear at other points,
B. The function is nonlinear.
c. Not enough information is given to decide.
O
D. The function is linear.
SUBMIT
Answer:
The function is linear at some points and nonlinear at other points,
Step-by-step explanation:
An ant crawls across a yard. Its distance from an anthill
, as a function of time,
is modeled by y=-3x + 107.
Answer: D : It’s linear
.
Step-by-step explanation:
Which one should I choose
how to answer this. help me
Answer:
fsfsgsgsgsgsgsgsgsgsgssgsgsgsgsgegeveg
) Solve for x: –3(4x – 1) = –6(2x + 3)
Answer: there's no solution
Step-by-step explanation:
first, we remove the parenthesis.
-12x + 3 = -12x - 18
then, we cancel equal terms.
3 = -18
that doesn't work, so it makes a false statement.
no solution.
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).
How many solutions does the system have?
5x−y=2
5x−y=−2
Answer:
10
Step-by-step explanation:
Answer:
khan says no solution
Step-by-step explanation:
khan knows best
3 3/7 x 2
Whats the answer?
Answer:
6 6/7
Step-by-step explanation:
Turn the mixed fraction into a improper fraction
24/7*2
Now just multiply
48/7
6 6/7
3 3/7 = 24/7
24/7 x 2 = 48/7 OR 6 6/7
I need help pleasssssss
Answer:
49.5%
Step-by-step explanation:
Tyler used 27.05 gallons of gas Marie used 6.2 times as many gallons of gas as Taylor how many gallons of gas did Marie use ?
167.71 = Marie
27.05 = Tyler
Answer:
167.71
Step-by-step explanation:
Multiply 27.05 and 6.2.
20points please please help!!!!!!
Simplify: 4x + (−6x)
Answer: -2x
Step-by-step explanation:
4x+(-6x)
When there is a + in front of an expression in a parentheses, the expression remains the same.
4x-6x
Collect like terms
-2x
can someone please help :/? the question is in the picture
Answer:
I'm pretty sure the answer is B
NEED HELP PLZ!
Find 4B.
Answer:
D or the fourth option
Step-by-step explanation:
because you just multiply the numbers in the bracket by 4. so it will be 8, -16, 20, -4.
I hope this helped. :)
You and your friend play a trivia game. You answer 64% of the questions correctly and your friend answers 0.74 of the questions correctly. What is the minimum number of questions in the game?
Answer:
higher then 64
Step-by-step explanation:
Since, [tex]64\% = \frac{64}{100} \ \ Or \ \ =\frac{32}{50}\\\\[/tex] and [tex]74\% = \frac{74}{100} \ \ Or \ \ = \frac{37}{50}\\\\[/tex]
After simplifying both fractions, the denominators of both fractions are 50.As a consequence, the show's minimum lot of questions will be 50.Learn more about the minimum number:
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HELP HELP MEEEEE HELPPPPPPPPPPPPPPPPPPP
Answer:
Add your brain then get smart
If Mrs. Kliesch’s Thrive class has 9 students and 6 of the students are girls, what percent of her class is girls?
Answer:
30% of girls in her class
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:
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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)
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
1. In the diagram, c || d. Identify three numbered
angles that have a measure of 68º.
1
2
3
5
6
7
680
Answer:
1, 4, and 5 all have a measurement of 68 degrees
Step-by-step explanation:
they are vertical and corresponding angles
Round 48.612 to the nearest whole number.
If the population of a certain county was 100,000 in 1998 and 110,429 in 2008, and if the formulay = P0ehtapplies to the growth of the county's population, estimate the population of the county in 2023. (P0 is the initial population. Round your value of h to four decimal places. Round your answer to the nearest whole number.)
Answer:
126807 people
Step-by-step explanation:
Given;
P= Poe^ht
Where;
P= population at time t
Po= population at the beginning
h= growth constant
t= time
1998- 2008 is ten years.
110429= 100,000e^10h
1.1 = e^10h
ln(1.1) = lne^10h
0.095 = 10h
h= 0.0095
In 2023, t = 25 years
P= 100,000e^(0.0095 × 25)
P= 126807 people