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}.
Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
First, find slope (m) of the line using two points (0, -3) and (1, -5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3)}{1 - 0} = \frac{-2}{1} = -2 [/tex]
The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.
To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.
Thus:
y = -2x + (-3)
y = -2x - 3
Round 48.612 to the nearest whole number.
Whats the value? 2x+2 + 2x+10 =90
Answer:
x=19.5 or 19 1/2
Step-by-step explanation:
To find what x is we need to get x on one side of the equal sign with the numbers on the other side, but first, we need to add the same variables and numbers together.
Add:
4x+12=90
Move the 12 to the other side by subtracting 12 on both sides (You use the inverse of what you want to move to the other side)
4x+12-12=90-12
4x=78
Divide:
You need to divide 4x by 4 (Since 4x is the same thing as 4*x you need the inverse of multiplication to reverse it which is division)
x=19.5 or 19 1/2 (Since 1/2 is the same thing as 0.5)
how many us dollars are there in 7 euros
Answer:
8.58
Step-by-step explanation:
Brainliest plz
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
can someone please help :/? the question is in the picture
Answer:
I'm pretty sure the answer is B
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.
Given f(x) =5 - 3x, if f(x) = -19, find x
Uranus is 19.2 AU. How many miles apart is Uranus from the Sun?
Answer:
Uranus distance from the sun is 1.79 billion miles.
Hope it helps :)
Step-by-step explanation:
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
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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)
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!!!!
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:
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 to answer this. help me
Answer:
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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
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:
Need help first to answer gets brainliest
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
lowest x is -1 ant farthest is 4.
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
20points please please help!!!!!!
The average attendance at a local high school's football games went down from 1800 people in 2003 to
500 people in 2004. What was the percent decrease in attendance at the football games?
Step-by-step explanation:
%decrease = 1800 - 500 * 100
__________
1800
%decrease = 1300/1800 * 100
% decrease = 72.2%
Average attendance in 2003 = 1800
Average attendance in 2004 = 500
Decrease in attendance = 1800 - 500 = 1300
Decrease percentage in attendance
[tex] = \frac{1300}{1800} \times 100[/tex]
[tex] = \frac{13}{18} \times 100[/tex]
[tex] = \frac{13}{9} \times 50[/tex]
=72.22
i give brainlilset nxgbkj,m.d/ed
q
HELP HELP MEEEEE HELPPPPPPPPPPPPPPPPPPP
Answer:
Add your brain then get smart
Another name for plane X is plane ?
Shannon spent the day at the mall. She spent $5.75 on earrings and 4 times that amount on a shirt. After shopping, she came home with $7.75 in her wallet. How much money did she take to the mall originally?
A.
$21.00
B.
$28.75
C.
$30.75
D.
$36.50
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.
20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?
Answer:
I believe that her goal is 20 pages because 75% of 20 is 15.
Step-by-step explanation:
i really need help pls help
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
Write the equation of the line that goes through
the points (-3, -2) and (4, 5).
Find the slope m.
Use the point-slope formula.
Solve for y.