Factor the polynomial. x2 - 6x + 9 A) (x - 9)(x - 1) B) (x - 3)(x + 3) C) (x + 9)(x + 1) D) (x - 3)(x - 3)
Answers
x -3
x -3
D) (x - 3) (x -3) is your answer
To check, do your FOIL
x(x) = x^2
x(-3) = -3x
-3(x) = -3x
-3(-3) = 9
x^2 -6x +9 True
hope this helps
[tex]x^2 -6x+9 =(x-3)(x-3) The correct answer is option D[/tex]
-----------------
I added a picture that will help you in the future and I recommend you to memorize them. At least, write them in your notebook.
~Credit to google image~
Related Questions
another way to write (3x1000)+(3x10)+(3x1/100)+(3x1/1000)
Answers
Expression after the simplification is 3030.033.
What is an expression?Expression in mathematics is the combination of variables with the use of operations and predetermined rules. It could appear as an equation, a set of numbers, etc.
Given, expression
(3x1000)+(3x10)+(3x1/100)+(3x1/1000)
Simplifying,
(3x1000)+(3x10)+(3x1/100)+(3x1/1000)
= 3000 + 30 + 3/100 + 3/1000
= 3030033 / 1000
or, = 3030.033
Hence, the value of the expression is 3030.033.
To learn more about the expression;
brainly.com/question/24242989
#SPJ3
What is the reflection image of R across the y-axis?
(3, 2)
(–2, 0)
(0, 2)
(–3, –2)
Answers
answer
(3, 2)
Answer: (3,2)
Step-by-step explanation:
From the given picture , it is given that the point R = (-3,2)
We know that the rule of reflection across y axis is :
[tex](x,y)\rightarrow\ (-x,y)[/tex] i.e.the polarity of x coorinate changes.
Therefore, the reflection image of R across the y-axis will be :-
[tex](-3,2)\rightarrow\ (3,2)[/tex]
Hence, the reflection image of R across the y-axis =(3,2)
Find 10-3 write the substraction fact two ways
Answers
13-7
the substraction fact two ways.
And 10 + (-3) = 7
what is 62 1/2% converted as a fraction
Answers
What is a polynomial with a single root at x = -8 and a double root at x = -2?
Answers
The polynomial equation will be x³ +12x² +36x+32 =0
What are the roots of a polynomial Equation ?The roots of a polynomial equation is the value at which it will satisfy the quadratic equation , i.e. function (x) = 0 at the root .
It is given that x = -8 is a single root and
x = -2 is double root
x+8 = 0
(x+2 )(x+2)=0 (double root)
The polynomial equation will be
(x+8)(x+2 )(x+2 )=0
(x+8)( x² +4+4x) = 0
x³ +4x+4x²+8x²+32+32x = 0
x³ +12x² +36x+32 =0
Therefore the polynomial equation will be x³ +12x² +36x+32 =0
To know more about Roots of a polynomial Equation
https://brainly.com/question/12404751
#SPJ2
Typographic errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but incorrect word. Spell-checking software will catch nonword errors but not word errors. Human proofreaders catch 70% of word errors. You ask a fellow student to proofread an essay in which you have deliberately made 10 word errors. What is the smallest number of misses m with P(X ≥ m) no larger than 0.05? You might consider m or more misses as evidence that a proofreader actually catches fewer than 70% of word errors.
Answers
The probability that a proofreader who catches 70% of the word errors misses exactly 7 out of 10 will be 0.3504.
How to calculate the probability?It should be noted that this is a binomial distribution.
From the information given, the human proofreaders catch 70% of word errors and a student was asked to proofread an essay in which you have deliberately made 10 word errors.
Here, n = 10
p = 0.3,
q = 1 - 0.3 = 0.7.
The probability will be:
= 1 - (10C0 × 0.3ⁿ × 0.7^10 + 10C1 × 0.3 × 0.7^9 + 10C2 × 0.3² × 0.7^8 + 10C3 × 0.3³ × 0.7^7)
= 1 - 0.6496
= 0.3504
In conclusion, the probability is 0.3504.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 3.5% , and the tax in the second city was 7.5% . The total hotel tax paid for the two cities was $347.50 . How much was the hotel charge in each city before tax?
Answers
a = charges before tax on first city
b = charges before tax on second city
how much is 3.5% of a? (3.5/100) * a, 0.035a.
how much is 7.5% of b? (7.5/100) * b, 0.075b.
the taxes for both cities, summed up to 347.50
so, 0.035a + 0.75b = 347.50
we also know that, whatever "a" may be, the second city charged $500 less, so b = a - 500.
[tex]\bf \begin{cases} \boxed{b}=a-500\\ 0.035a+0.075b=347.5\\ --------------\\ 0.035a+0.075\left( \boxed{a-500} \right)=347.5 \end{cases} \\\\\\ 0.035a+0.075a-37.5=347.5\implies 0.110a=385 \\\\\\ a=\cfrac{385}{0.11}\implies a=3500[/tex]
how much did the second city charge? well, b = a - 500.
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
Answers
How do I find Primefactor of 150
Answers
2 75
3 25
5 5
5 1
2 * 3 * 5* 5
Starting with 150, determine some of the factors: 150 = 15(10)
Continue: 3 5 2 5 = {2, 3, 5} None of these can be factored, so the prime factors of 150 are {2, 3, 5}. Of course, you could include 1 as a prime factor, in which case the prime factor list would be {1, 2, 3, 5}.
Of all numbers whose difference is 4, find the two that have the minimum product.
Answers
The two numbers whose difference is 4 will be +2 and -2. The two have the minimum product is -4.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, there are two numbers whose difference is 4 and it must have a minimum product.
We have to apply arithmetic operation operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Suppose one number is x and the other x−4.
The minimum product is,
=x(x−4)
=x²−4x
Differentiate both sides to obtain minimum value,
=2x-4
2x=4
x=2
The other number is,
=x−4
=2-4
=-2
Thus, the two numbers whose difference is 4 will be +2 and -2. The two have the minimum product is -4.
Learn more about the number here:
brainly.com/question/17429689
#SPJ5
You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you place the bar from each edge of the door?
Answers
bar is 10 1/4" so center would be 10 1/4 / 2 = 5 1/8"
door is 26 1/3" so center would be 26 1/3 / 2 =13 1/6
13 1/6 - 5 1/8 = 8 1/24 inches from the edge
Monday’s high temperature was 5 degrees warmer than Sunday high temperature.tuesdays high temperature was eight degrees colder than Monday high temperature. How does Sunday’s high temperature compare to tuesdays
Answers
Answer: It means the high temperature of Sunday is 3 degrees warmer than the high temperature of Tuesday.
Step-by-step explanation:
Let the temperature on Sunday be 'x'.
So, Temperature of Monday would be
[tex]x+5[/tex]
Temperature of Tuesday would be
[tex]x+5-8\\=x-3[/tex]
So, Comparing the Sunday's high temperature to Tuesday's temperature.
[tex]x-3[/tex]
It means the high temperature of Sunday is 3 degrees warmer than the high temperature of Tuesday.
If you work 37.5 hours per week at $10.65 per hour, how much is your gross pay for a two-week period? (Round off your answer to the nearest cent.)
Answers
Please help.. I got stuck on this question please help and explain
Sam earned $150 last week. Jay earned $130 last week. They combined their money and decided to donate ¼ of their total amount to a charity. Then, they spent 40% of the remaining amount at an amusement park. Jay claims that they only have 35% of their original combined total left.
Is jay right or wrong?
Answers
they donated 1/4 of the total amount....1/4(280) = 280/4 = 70....so now they have 280 - 70 = 210
then they spent 40%.....210 - 0.4(210) = 210 - 84 = 126..what they have left
35% of 280 = 0.35(280) = 98
Jay is not correct
HECTOR PLANTED 185 FLOWERS IN 2 DAYS THERE WERE 5 VOLUNTEERS INCLUDING HECTOR WHO EACH PLANTED ABOUT THE SAME NUMBER OF FLOWERS ABOUT HOW MANY FLOWERS DID THEY PLANT
Answers
What is (f * g * h)(x) Refer the the image below.
Answers
how to turn negative mixed fraction into decimal
Answers
[tex]\bf \stackrel{mixed}{-3\frac{1}{7}}\implies -\cfrac{3\cdot 7+1}{7}\implies \stackrel{improper} {-\cfrac{22}{7}}\implies -22\div 7\implies -3.\overline{142857}[/tex]
the line over the decimal part is because is a "recurrent decimal", or repeating one.
56of the 90pets in the pet show are cats 4/5of the cats are calico cats. What fraction of the pets are calico cats?
Answers
If µ = 400 and s = 100 the probability of selecting at random a score less than or equal to 370 equals ____.
Answers
The probability of selecting at random a score less than or equal to 370 is approximately 0.3821.
To find the probability of selecting at random a score less than or equal to 370 from a normal distribution with a mean [tex](\( \mu \))[/tex] of 400 and a standard deviation [tex](\( s \))[/tex] of 100, we can use the z-score formula and the standard normal distribution table.
The z-score formula is given by:
[tex]\[ z = \frac{x - \mu}{s} \][/tex]
Where:
- x is the value of the random variable (370 in this case)
- [tex]\( \mu \)[/tex] is the mean (400)
- s is the standard deviation (100)
Substituting the given values into the formula:
[tex]\[ z = \frac{370 - 400}{100} = -0.3 \][/tex]
Now, we look up the probability corresponding to z = -0.3 in the standard normal distribution table. The probability of selecting a score less than or equal to 370 is the cumulative probability up to z = -0.3.
From the standard normal distribution table, the cumulative probability corresponding to z = -0.3 is approximately 0.3821.
Therefore, the probability of selecting at random a score less than or equal to 370 is approximately 0.3821.
A square sheet of art paper has an area of 625 square inches. What is the minimum side length of an easel that supports the whole sheet of paper?
Answers
area of a square = side^2
to find the length of a side using area find the square root of the area
sqrt(625) = 25
so the easel has to be at least 25 inches
How did the forces of liberalism and nationalism affect events in the united states during the 1800s?
Answers
Evaluate 11x -4 when x = -4
Answers
11x - 4, x = -4
11(-4) - 4 = -44 - 4 = -48
Hope it helped!
11x-4=-44
HELP ASAP PLEASE!!!!!!!!!!!!!!
Answers
The answers are given in Figure 2 which is also attached.
===================================================================================================================
Focus on the first Magic Square for now (the one in the top row, left side).
The middle row has 9+6+3 = 18 as the magic constant (aka magic sum). Every row, column and diagonal must add to this constant
A = 7 because the first column of values must add to 18
A+9+2 = A+11 = 18 leads to A = 7
----------
C = 10 since that solves 2+6+C = 18 (northeast diagonal)
----------
Solve the equation A+6+E = 18 for E to get E = 5 (plug in A = 7)
As a check, note how C+3+E = 10+3+5 = 18
----------
We know that A = 7 and C = 10 so B must be B = 1 since A+B+C = 7+1+10 = 18
----------
Similarly, 2+D+E = 18 and E = 5, so D must be 11.
As a check, note how B+6+D = 1+6+11 = 18
----------
----------
In summary we have
A = 7
B = 1
C = 10
D = 11
E = 5
See Figure 2 for the completed magic square
----------
Check:
Row1: 7+1+10 = 18
Row2: 9+6+3 = 18
Row3: 2+11+5 = 18
Column1: 7+9+2 = 18
Column2: 1+6+11 = 18
Column3: 10+3+5 = 18
NorthEast Diagonal: 2+6+10 = 18
NorthWest Diagonal: 7+6+5 = 18
As you can see, we get the same magic constant of 18
===================================================================================================================
Second Magic Square (Top Right)
For this magic square, the magic constant isn't known. So this is mainly a guess and check type of problem. This is what I got
F = 9
G = 6
H = 10
J = 12
K = 5
See Figure 2 for the completed magic square
----------
Check:
Row 1: 11+4+9 = 24
Row 2: 6+8+10 = 24
Row 3: 7+12+5 = 24
Column 1: 11+6+7 = 24
Column 2: 4+8+12 = 24
Column 3: 9+10+5 = 24
NorthEast Diagonal: 7+8+9 = 24
NorthWest Diagonal: 11+8+5 = 24
===================================================================================================================
Third Magic Square at the very bottom
The magic constant is 12+6+7+9 = 34
----------
Bottom row: 13+3+S+16 = 34 which solves to S = 2
----------
Northeast Diagonal: 13+Q+7+4 = 34 which solves to Q = 10
----------
Second Column: 3+Q+6+M = 34 turns into 3+10+6+M = 34 after substitution and that solves to M = 15
----------
For values R, P, L and N, I couldn't figure out an algebraic way to solve for them. So I had to resort to trial and error (guess and check). This is what I got
R = 11
P = 8
L = 1
N = 14
----------
----------
In summary we have
L = 1
M = 15
N = 14
P = 8
Q = 10
R = 11
S = 2
See Figure 2 for the completed magic square
----------
Check:
Row 1: 1+15+14+4 = 34
Row 2: 12+6+7+9 = 34
Row 3: 8+10+11+5= 34
Row 4: 13+3+2+16 = 34
Column 1: 1+12+8+13 = 34
Column 2: 15+6+10+3 = 34
Column 3: 14+7+11+2 = 34
Column 4: 4+9+5+16 = 34
NorthEast Diagonal: 13+10+7+4 = 34
NorthWest Diagonal: 1+6+11+16 = 34
Which quantity is proportional to 15⁄3?
Answers
The answer is 5 because 15/3=5
What is the slope given the equation, y = 2x
a) 1
b) 12
c) 2
d) x'
Answers
We need to use the slope intercept form to find the slope.
Keep in mind that the slope intercept is an equation of the form Y = mx + b, where m is the slope and b is the y-intercept.
So we have y = 2x
They say that the m is the slope. So in this equation, the m is 2. Right?
So for that reason, the answer is option C
Good luck with your studies!
a store buys a baseball cap for $5 and sells it for $20. what is the profit
Answers
20-5
You received 1⁄3 pound of candy from your grandmother, 1⁄2 pound of candy from your sister, but your best friend ate 1⁄5 pound of candy. How much candy do you have left?
Answers
1/3 + 1/2 = 2/6 + 3/6 = 5/6
5/6 - 1/5 = 25/30 - 6/30 = 19/30 pounds left
Marina walks from the police station at (-10, -4) to her friend Marissa’s house at (3, -8). She stops half way at a fast food restaurant to buy a soda. What are the coordinates where she stops?
Answers
How many binary digits does it take to represent the decimal number 2013?
Answers
So there will be 10 + 1 = 11 digits Answer
It takes 11 binary digits to represent the decimal number 2013. Decimals are numbers that have two parts: a whole number part and a fractional part separated by a decimal point.
What is meant by decimal number?A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent numerical value for whole plus some fraction of a whole. Decimals are numbers that have two parts: a whole number part and a fractional part separated by a decimal point. 12.5 is a decimal number, for example. (12)10 and (300)10 are two examples of decimal numbers. Thus, we can say that the Decimal Number System is the number system that uses the numbers 0 to 9 and has a base of 10, and each digit in this system has a power value of 10.Therefore, the correct option is C) 11
The complete question is:
How many binary digits does it take to represent the decimal number 2013?
a) 16
b) 8
c) 11
d) 2013
To learn more about decimal number, refer to:
https://brainly.com/question/1827193
#SPJ2
find value of m=30 and n=18. m-n÷3=8
Answers
30 - n/3 = 8
-n/3 = -22
-n = -66
n = 66
when n = 18
m-18/3 = 8
m - 6 = 8
m = 8 + 6
m = 14
hope this helps