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.
Related Questions
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and plans to collect data on the length of shots played by golfers who use the magnetic bracelets. Another golfer points out that many golfers who purchase the bracelets also purchase other expensive golf equipment, such as golf clubs, and this could be a confounding variable.
Which statement best describes the effect of the confounding variable?
A. Because golfers purchase expensive golf clubs, they may stop wearing their magnetic bracelets, which would interfere with the outcome of the study.
B. Because golfers can be randomly assigned to receive either magnetic bracelets or expensive golf clubs, the expensive golf clubs are a confounding variable.
C. Because golfers using the magnetic bracelets believe they are hitting longer shots, the study may show their shots are not as long as they believe.
D. Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots.
Answers
Answer:
d
Step-by-step explanation:
just made a 100
The statement "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the confounding variable.
What is a confounding variable?A confounding variable is a third variable used to examine research based on a cause and effect relationship.
Golfers who are likely to use the magnetic bracelets also buy and use other expensive golf equipment. This means that it would be difficult to determine whether the bracelet is having any effect on the performance of the golfers. The effect of the expensive equipment will hinder the results of the study.Therefore, we have determined that statement D "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the effect of the confounding variable.
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Whats the answer for 7/9 - 4/9 in fraction in number
Answers
Answer:
3/9
Step-by-step explanation:
numerator:7-4=3/9
The subtraction of the the fraction 7/9 -4/6 results to 1/3.
Given Fraction:
7/9 - 4/9
To subtract fractions, have a common denominator.
In this case, both fractions already have the same denominator of 9,
Now, subtract the numerators as:
= 7/9 - 4/9
= (7 - 4)/9
= 3/9
By dividing both the numerator and denominator by 3 gives
3/9 = 1/3
So, the answer to 7/9 - 4/9 as a simplified fraction is 1/3.
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At a restaurant, the bill comes to $80. You decide to leave a 12 % tip. How much did you leave for the tip?
Answers
Answer: 0.12
Step-by-step explanation: I think that should be the answer if not im sorry i just wanted to help. :(
how: take the total price, times it times .12%.
so 80 x .12
Elsie made a one-sample z interval for a proportion and used the critical value 2 = 1.405.
What confidence level did she use?
Choose 1 answer
84%
86%
88%
92%
Answers
Answer:
84%
Step-by-step explanation:
Answer:
84%
Step-by-step explanation:
on Khan Academy
SECONDARY MATH III // MODULE 5
MODELING WITH GEOMETRY - 5.5
Answers
Answer:
Its Spring break pls relax
Step-by-step explanation:
solve 3-x/2≥15
A.x ≤ -24
B.x ≤6
C.x ≥ -24
D.x ≥ -6
Answers
Please please help please
Answers
Answer:
6 times larger
Step-by-step explanation:
First, find the area of both.
Mary: 4*5.5=22
Lisa: 24*5.5=132
Then find what multiplied by 22 would equal 132. This is easy because it's a multiple-choice question.
22*20=440, so A is incorrect
We already know they are not equal, so then B can be crossed out
22*3=66, C would be incorrect
Leaving the only choice left to be the correct answer
22*6=132
ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
help pls asap
Answers
Answer:
m<K, m<J, m<I
Step-by-step explanation:
The size of angles and sides correspond. The larger the side, the larger the angle must be. So, this means the largest angle will be directly across from the longest side. Since <K is across from the smallest side, it is the smallest angle. Additionally, <I is across from the longest side so it is the largest.
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED!
Answers
Answer:
Answer is D!
Step-by-step explanation:
y=-3x-2
Substitute x and y values and check
-3(-2) = 6 - 2 = 4
Use the tax tables to determine the tax for the given filing status and taxable income amount:
Head of Household $63,572: $
Single $42,921: $
Married Filing Jointly $42,051: $
Married Filing Separately $63,999: $
Type the numbers with no $ sign and no decimals.
Answers
Answer:
i cant even see the picture
Perform the indicated operation and write the answer in the form a + bi.
(9+ i)(-6+5i)
Answers
Answer:
-59 + 39i
Step-by-step explanation:
Apply the Distributive Property of Multiplication:
(9)(-6) + (9)(5 i) - 6i - 5 (recall that i^2 = -1)
or:
-54 + 45i - 6i - 5, or
-59 + 39i
If Ashton drives 228 miles in 6 hours, what is his unit rate?
Answers
38 miles per hour
Answer:
The unit rate would be 38 miles per hour
Step-by-step explanation:
If you divide 228 by 6 you would get 38 and to further prove this do 38 x 6 and your answer would be 228
PLEASE ANSWER THE PIC BELOW
Answers
Answer: 11
Step-by-step explanation:
Since the equation of circumference is 2(r)pi
if 22pi=2(r)pi
then 22=2r
22=2r
r=11
Please Help
The volume of a cylinder is 81 T cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
O A. 13.5 cm
O B. 27 cm
O C. 4.5 cm
O D. 9 cm
Answers
Answer:
Step-by-step explanation:
Volume of a cylinder of radius
r
and height
h
is
π
r
2
h
As radius is
3
and area is
81
π
cubic units,
π
3
2
×
h
=
81
π
or
9
π
×
h
=
81
π
Hence
h
=
81
π
9
π
=
9
Answer:
9 cm
Step-by-step explanation:
A high-school administrator who is concerned about the amount of sleep the students in his district are getting selects a random sample of 14 seniors in his district and asks them how many hours of sleep they get on a typical school night. He then uses school records to determine the most recent grade-point average (GPA) for each student. Here is the regression output. Assume the conditions for inference are met. 1.
Predictor Coef SE Coef T P
Constant 2.6476 0.3281 8.07 0.000
Sleep 0.10176 0.04347 **** *****
S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%
Required:
Predict the GPA for a senior in this district who gets 8 hours of sleep on a typical school night.
Answers
Answer:
3.46
Step-by-step explanation:
Given the regression output :
Predictor Coef ___SE __ Coef __ T ___ P
Constant 2.6476_0.3281_ 8.07 0.000
Sleep 0.10176 0.04347 **** *****
S = 0.1804
R-Sq = 31.3%
R-Sq(adj) = 25.6%
The regression equation which models the relationship between hours of sleep a student gets and his GPA can be obtained from the regression output :
The GPA is the dependent, y variable
Hours of sleep is the independent, x variable
y = 0.10176x + 2.6476
Hence, the GPA of a student who gets 8 hours of sleep on a typical school can be computed thus ;
Hours of sleep, x = 8
y = 0.10176(8) + 2.6476
y = 0.81408 + 2.6476
y = 3.46168
Thus, predicted GPA = 3.46
Sand will be placed under the base of a circular pool with a diameter of 20 feet. 1 bag of sand covers about 6 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
Answers
9514 1404 393
Answer:
53
Step-by-step explanation:
The area of the pool is ...
A = πr²
A = 3.14×(10 ft)² = 314 ft²
The number of bags of sand required is ...
(314 ft²)/(6 ft²/bag) ≈ 52.33 bags
53 bags of sand are needed.
Please help I’m really need the help (NO LINKS ) (NO LYING )
Answers
Answer:
for this you should use photomath all you do is take a picture of each problem and put the answer down
Answer:
1 = 22.4
2 = 19
3 = 22.6
4 = 18.75
5 = 23.6
6 = 20.85
7 = 29.75
8 = approximately 21.85
9 = i can't read the bottom number sorry
* all of this is squared inches too
11. The Smith Family Restaurant has 300 tables. On one evening, there were reservations for 1/10 of
the tables. How many tables were reserved?
What is the answer for this question
Answers
Answer:
30 tables
Step-by-step explanation:
1/10 of 300 is 30
Answer:
30 tables were reserved
Step-by-step explanation:
1/10 × 300 = 30
A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.
Answers
Answer:
Both pools will have the same amount of water after 11 minutes and 32 seconds.
Step-by-step explanation:
Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:
Team Sunshine:
30 + (8X) = T
30 + 8x10 = 110
30 + 8x11 = 118
30 + 8x12 = 126
30 + 8x11.5 = 122
30 + 8x11.6 = 122.8
30 + 8x11.55 = 122.4
30 + 8x11.54 = 122.3
Team Breeze:
180 - (5X) = T
180 - 5x11 = 125
180 - 5x12 = 120
180 - 5x11.5 = 122.5
180 - 5x11.6 = 122
180 - 5x11.55 = 122.25
180 - 5x11.54 = 122.3
1 = 60
0.54 = X
0.54 x 60 = X
32.4
Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.
write the following ratios in their simplest form 32: 24: 40
Answers
Answer: 4, 3, 5
Step-by-step explanation: Just simplify by dividing
Craig wants to put molding around the edge of a rectangular frame that is 8 inches wide and 14 inches long. The molding costs $0.75 per inch. He buys 3 additional inches of molding. What is the total cost?
11.25
25.75
35.25
84.75
please explain your work
Answers
Answer:
$35.25
Step-by-step explanation:
Find the total number of inches needed.
The rectangle has 2 sides of 8 inches and 2 sides of 14 inches.
8 + 8 + 14 + 14 = 44 inches
he also was an additional 3 inches
44 + 3 = 47
Now we can find the total price
47 inches × $0.75 = $35.25
Hope this helps!
I dont understand help me
Answers
Answer:
can you help me with chemistry? ill help with this if u help with my chemistry
Write the product in its simplest form 5c7 x 5c8
Answers
Answer:
25c²56
Step-by-step explanation:
2(3x + 5) - 4(x - 1)
Simplified form
Answers
Answer:
5x+11
Step-by-step explanation:
Hope this helped!!!
Answer:
2x+14
Step-by-step explanation:
hope this helps!
have a great day!!
What is the answer please help me no links no links
Answers
Hope that helped XD
An expression is shown.
6 n
What is the value of the expression when n=7?
Answers
Answer:
42
Explanation:
replace n by 7 since they are equal and therefore the same thing
so 6*7=42
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
[tex]\sqrt{34}[/tex]
Step-by-step explanation:
The vector shown written in component form is <-3, -5>.
The magnitude of this vector is the square root of the sum of the components squared:
[tex]\sqrt{-3^{2}+-5^{2} } } \\[/tex] = [tex]\sqrt{9+25}[/tex] = [tex]\sqrt{34}[/tex]
Becky,Markus, and Hallie each earned $2.15 raking leaves.how much did they earn together?
Answers
Answer:
4.3
Step-by-step explanation:
2.15 times 2 is 4.3
Answer:
6.45
Step-by-step explanation:
well ot would be 2.15x3 i hope this is correct and helps you
1
2.15
x. 3
----------
6.45
On a multiple-choice test over English vocabulary, Roy got 16 out of 20 correct. What percent of the problems did she
miss? Round your answer to the nearest tenth of a percent, if necessary.
Answers
Answer:
20%
Step-by-step explanation:
100/20 (the number of questions) = 5 (how much each question is worth)
16(the number of questions she got correct) times 5 is 80
She got 80 percent correct
That means that she missed 20 percent
Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
Answers
The probability of having 2 girls and 3 boys in a 5-child family is 5/16
What is Probability ?Probability is the likeliness of an event to happen .
Total Probability of having 5 kids as boy or girl is 2⁵ = 32
The probability that there is 3 boys in the 5 children and remaining two are girls
[tex]\rm ^5C_3[/tex]
= (5*4*3*2*1)/(2*1)(3.2.1)
= 10 ways
probability of having 2 girls and 3 boys in a 5-child family is
=10/32
= 5/16
Therefore , the probability of having 2 girls and 3 boys in a 5-child family is 5/16
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