For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors
Answers
9514 1404 393
Answer:
g(x) = (x -3)(x -2+√7)(x -2 -√7)
Step-by-step explanation:
Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.
g(x) = (x -3)(x^2 -4x -3)
The quadratic is not factorable over integers. Its vertex form is ...
(x -2)^2 -7
so its roots are x = 2±√7.
That means the linear factorization of g(x) is ...
g(x) = (x -3)(x -2-√7)(x -2+√7)
_____
I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.
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16. Which of the following statement fade atrout not thekhe account 2 points)
They are for son tan sonra ay
Theyreareere
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Answer:
A because i can boy or girl im just tired
How to you draw 1/2 slope on a graph?
Answers
Answer:
the coordiantes for the first few are (0,0) (2,1) (4,2) (6,3) etc
Step-by-step explanation:
If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?
Answers
By the polynomial remainder theorem, the remainder is
f (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76
(The theorem says a polynomial p(x) has remainder p(c) upon dividing it by x - c.)
Cecilia invested 12,500 in an account that compounds quarterly at 2%. How much money is in her account after 4 years
Answers
6 persent
75,000 infour year's
follow me
nice study
I think 22400 mainly because i did the calculation
12500 * .2 4 times and got that answer.
Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?
Answers
Answer: 21
Step-by-step explanation:
First, convert the mixed fractions to improper fractions.
(87/4 + 9/2) - 21/4
Next, calculate within the parentheses:
87/4 + 9/2
Next, change the denominator of 9/2 to 4. To do that, multiply the denominator of 9/2 to get 4 to match the denominator of the first fraction. 9/2 * 2/2 = 18/4.
87/4 + 18/4 = 105/4
Then, 105/4 - 21/4 = 84/4
Finally, divide 84 by 4 and you get 21.
The square of a whole number is between 400 and 500. The whole number must be between:
Answers
Answer: 20-23
Step-by-step explanation: 200^2 is 400 so the number must be greater and 23^2 is greater than 500 so it must be lass than 23.
whos ur celeb crush I need to know mines is the actor of wanda
Answers
Answer:
Same!!!!!!!!!!!
Step-by-step explanation:
Answer:
mines Matthew Mercer i dont know if he counts as a celeb cuz he is a famous voice actor
what is the total of 8 and 4 times y
Answers
Answer:
12y?
Step-by-step explanation:
I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y
i read the question wrong, nvm.
Which two-way frequency table correctly shows the marginal frequencies?
Answers
Answer:
B
Step-by-step explanation:
Walmart sells a 6oz bottle of laundry
detergent for $4.80. What is the priceper ounce?
A. $0.80
B. $0.08
C. $8
D. $0.88
Answers
Answer:
.80
Step-by-step explanation:
What is the measure of AZB
Answers
Answer:
129 degrees
Step-by-step explanation:
When we add a right angle (90 degrees) to an acute 39 degree angle we get 129 degrees.
azb = 129 degrees
Help me answer these
Answers
Step-by-step explanation:
y=-2X2 -2X +4
Answer: I answered it it's C
What is the quotient of 15÷3?
Answers
5
Hope this helps you :D
can you guys help me on this please
Answers
[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]
can you get this answer
Answers
Answer:
1/128
Step-by-step explanation:
use formula: an = a1 × r ^ n-1
a1 = 4
r = 0.5
n = 10
a10 = 1/128
Find the mean,median,mode.and range of the data set:12,15,17,16,10
Answers
Answer:
Mean: 14
Median: 15
Mode: All values appear just once
Range: 7
SHOW STEPS PLEASE...
Answers
9514 1404 393
Answer:
(5 15/20) -(2 8/20) = 3 7/20
Step-by-step explanation:
Problems in "least common denominator" are made much easier if you are familiar with your times tables.
When you compare the denominator 4 to the denominator 20, you see that ...
20 = 5 × 4
An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.
[tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]
Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.
[tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]
Then the desired difference is ...
[tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]
MARK BRAINLIEST ! HELP ME PLEASE !!
Answers
Answer:
Y=9
Step-by-step
4y-7=2y+11
2y=18
Y=9
PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b
Answers
Answer:
P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:
P(A\B) = P(A and B) P(B)
0.3 = P(A and B) 0.5
0.15 P(A and B)
P(A and B) = 0.15
B. P(A or B) = P(A) + P(B) - P(A and B)
0.2 + 0.5 - 0.15
0.70 - 0.15 = 0.55
Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)
Answers
Answer:
97.7%
Step-by-step explanation:
For a score below 218 :
P(x < 218)
Standard deviation = 20 ; mean = 178
Obtian the standardized score (Zscore) :
Zscore = (x - mean) / standard deviation
Z = (218 - 178) / 20 = 40 / 20 = 2
P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)
0.97725 * 100 = 97.725 = 97.7%
-5x+5y=10
3x-3y= -10
Answers
Answer:
ummmm math?
Step-by-step explanation:
Which graph represents the function f(x)=|x−1|−3 ?
Answers
wines at $ 4.50 and
$5 per litres are mixed
with a third wine in
the ration 2:3:4.If the mixture Cost $5.20 a litre, what is
the Cost of the third wine?
Answers
Answer:
The third wine costs $5.70 per litre
Step-by-step explanation:
so we've got 2 parts $4.50 wine, 3 parts $5 wine and 4 parts x wine. The result is $5.20 per part.
2l*$4.50/l + 3l*$5/l + 4l*x = (2l+3l+4l)*$5.20/l
$9 + $15 + 4l*x = $46.80
4l*x = $22.80
x = $5.70/l
one of the fastest times for 1,500-meter race is 3 minutes and 34 seconds. How many seconds is this time?
Answers
Answer:
214 seconds
Step-by-step explanation:
3 times 60 is 180. 180 plus 34 is 214.
What is the solution to the inequality 7x + 2 < 3x + 1?
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Answers
Answer:
x < -1/4
Step-by-step explanation:
7x + 2 < 3x + 1
4x + 2 < 1
4x < -1
x < -1/4
In a class of 23 students, 9 play an instrument and 7 play a sport. There are 3
students who play an instrument and also play a sport. What is the
probability that a student does not play an instrument given that they play a
sport?
Answers
Answer:
4/7
Step-by-step explanation:
The probability that a student does not play an instrument given that they play a sport is 4/23.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total number of students = 23
From the Venn diagram,
Number of students who play sport but not an instrument = 4
The probability that a student does not play an instrument given that they play a sport.
= 4/23
Thus,
The probability is 4/23.
Learn more about probability here:
https://brainly.com/question/14099682
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Kira has $2,250 sitting in a savings account that
earns 2.75% simple interest each year. If she
leaves it there untouched, how much will be in
the account after 8 years?
Answers
Answer:
2 250×96×2.75=5 940
Step-by-step explanation:
1 year=12 months
8 year's =96 Month's
first thing you need to do is to convert Years into months
Solving two-step equations:
106 = 1 + 7n
Answers
-1+106=7n
105=7n
divide both sides by 7
n=15
Answer:
n = 15
Step-by-step explanation:
106 = 1 + 7n
1- 1-
-------------------
105 = 7n
÷7 ÷7
------------------
15 = n
your goal is to get the variable by itself
The area of a square mural is 144x2 - 72x + 9. What is the length of one side
of the mural?
Answers
Answer:
-0.25 units
Step-by-step explanation:
144x^2 - 72x + 9 = 0
common factor: 9
16x^2 - 8x + 1 = 0
(4x + 1)^2 = 0
4x +1 = 0
4x = -1
x = -0.25 units
In FGH, what is the measure of H?
42°
43°
68°
69°