Answers
Answer:
A"(2,11) B"(0,5) C" (4,3)
Step-by-step explanation:
Related Questions
What is the complete factorization of the polynomial function over the set of complex numbers?
f(x)=x3−5x2+4x−20
Enter your answer in the box.
Answers
Answer:
[tex]x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})[/tex]
Step-by-step explanation:
Factorization of polynomials
Factor:
[tex]f(x)=x^3-5x^2+4x-20[/tex]
There are several techniques to factor polynomials. We'll use algebraic manipulation and common factor:
Separate in groups:
[tex](x^3-5x^2)+(4x-20)[/tex]
Factor out 4 from 4x-20:
[tex]=(x^3-5x^2)+4(x-5)[/tex]
Factor out [tex]x^2[/tex] from [tex]x^3-5x^2[/tex]
[tex]=x^2(x-5)+4(x-5)[/tex]
Factor out x-5:
[tex]=(x-5)(x^2+4)[/tex]
The roots of
[tex]x^2+4=0[/tex]
Are two complex numbers:
[tex]x=2\mathbf{i}, x=-2\mathbf{i}[/tex]
The complete factorization is:
[tex]\boxed{x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})}[/tex]
A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% , find the price of the television set before taxes.
Answers
Answer:
399.84
Step-by-step explanation:
408.00 x .98 (2% reduction from 100) = 399.84
PLS ANSWER QUICKLY!
A line passes through the point (-2,3) and has a slope of 1/5.
show work to write the equation of the line in point-slope form.
Answers
Y-3=1/5(x+2) is the answer.
13 and 5/8 plus 7/8 please answer quickly
Answers
13 5/8 + 7/8 = 14 1/2
5/8 + 7/8 = 1 4/8 = 1 1/2
1 1/2 + 13 = 14 1/2
w = 8.75h
What is an impossible value for h?
Answers
Answer:
h = 0.1 142857 w
Step-by-step explanation:
Answer:
hayy
Step-by-step explanation:
Solve 12-5x-4kx=y for x
Answers
Answer:
x = - y-12/5+4k
Step-by-step explanation:
Solve 12-5x-4kx=y for x
12-5x-4kx = y for x
substract 12 from both side
-5x-4kx = y-12
Factor of -5x-4kx = -x(5+4k)
-x(5+4k) = y-12
Solve for x
-x = y-12/(5+4k)
Therefore x = - y-12/5+4k
A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?
Answers
Answer:
The answer is 145 ceramic tiles
Step-by-step explanation:
$4 Divided by $581.82 = 145.455
Which of the following best describes the English expression fourteen less
than the quantity of a number plus one?
A. (1 - x) +14
O B. 4 - 1
O C. (x + 1) - 14
D. (x - 1) +14
Answers
Answer:
c
Step-by-step explanation:
The equation p = 3.25b can be used to find the price, p, in dollars, of b pounds of blueberries at a particular supermarket. Each of the tables gives the prices of various pounds of blueberries at a different supermarket. Which of these tables represents blueberries that are more expensive than those represented by the equation? Select all that apply.
Answers
Answer:
Table C, Table D, Table E
Step-by-step explanation:
See attachment for tables
Given
[tex]p = 3.25b[/tex]
Required
Which of the tables is more expensive than the given function
To answer this question, we simply determine the equation of each table and then compare the equation with [tex]p = 3.25b[/tex]
Table A:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (1,2.75)[/tex]
[tex](b_2,p_2) = (4,11)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{11 - 2.75}{4 - 1}[/tex]
[tex]m = \frac{8.25}{3}[/tex]
[tex]m = 2.75[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 2.75 = 2.75(b-1)[/tex]
[tex]p - 2.75 = 2.75b-2.75[/tex]
[tex]p = 2.75b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]2.75 < 3.25[/tex]
Hence:
This equation is less expensive than [tex]p = 3.25b[/tex]
Table B:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (1.5,3.75)[/tex]
[tex](b_2,p_2) = (6,15)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{15 - 3.75}{6 - 1.5}[/tex]
[tex]m = \frac{11.25}{4.5}[/tex]
[tex]m = 2.5[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 3.75 = 2.5(b-1.5)[/tex]
[tex]p - 3.75 = 2.5b- 3.75[/tex]
[tex]p = 2.5b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]2.5 < 3.25[/tex]
Hence:
This equation is also less expensive than [tex]p = 3.25b[/tex]
Table C:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (2,7)[/tex]
[tex](b_2,p_2) = (4,14)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{14 - 7}{4 - 2}[/tex]
[tex]m = \frac{7}{2}[/tex]
[tex]m = 3.5[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 7 = 3.5(b - 2)[/tex]
[tex]p - 7 = 3.5b - 7[/tex]
[tex]p = 3.5b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3.5 > 3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table D:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (2.5,10)[/tex]
[tex](b_2,p_2) = (5,20)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{20 - 10}{5 - 2.5}[/tex]
[tex]m = \frac{10}{2.5}[/tex]
[tex]m = 4[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 10 = 4(b - 2.5)[/tex]
[tex]p - 10 = 4b - 10[/tex]
[tex]p = 4b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]4 > 3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table E:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (6, 22.5)[/tex]
[tex](b_2,p_2) = (12,45)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{45 - 22.5}{12 - 6}[/tex]
[tex]m = \frac{22.5}{6}[/tex]
[tex]m = 3.75[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 22.5 = 3.75(b - 6)[/tex]
[tex]p - 22.5 = 3.75b - 22.5[/tex]
[tex]p = 3.75b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3.75>3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table F:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (7, 21)[/tex]
[tex](b_2,p_2) = (14,42)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{42 - 21}{14 - 7}[/tex]
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p -21 =3(b -7)[/tex]
[tex]p -21 =3b -21[/tex]
[tex]p = 3b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3 < 3.25[/tex]
Hence:
This equation is less expensive than [tex]p = 3.25b[/tex]
If you were to roll the
dice two times what is the
probability it will land on a
3 both times?
Answers
Answer:
1/36
Step-by-step explanation:
A dice have 6 faces, each face have 1/6 chance to land on, so the chance of landing on 3 two times in a row is 1/6 x 1/6 = 1/36
The answers are on the pic
please answer fast!!
Answers
Answer:
27
Step-by-step explanation:
I need some help with geometry.
Answers
Answer:
x = 17, angle 1 and 2 = 45
Step-by-step explanation:
Which inequality is true?
Answers
Answer:
2 1/3 > 2 1/6
Step-by-step explanation:
2.33 > 2.17 True
How do you know if it is inequality or not w/ fraction?
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
To solve an inequality using the following steps:
1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
2) Simplify by combining like terms on each side of the inequality.
3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Answer:
B
Step-by-step explanation:
I did the quiz
Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?
Checking Account Summary
Ending Balance
$ 72571
Deposits
+ $610.00
Checks Outstanding - $ 471.19
Revised Statement Balance
Check Register Balance $ 864.52
Answers
Answer:
Revised statement balance=$ 864.52
Yes Rona's is account reconcile
Step-by-step explanation:
Calculation to Find Rona's revised statement balance
Using this formula
Revised statement balance=Ending balance+Deposits-Checks Outstanding
Let plug in the formula
Revised statement balance=$ 725.71+$610.00-$ 471.19
Revised statement balance=$ 864.52
Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE
what is the sum of the place values of the number 6,453
Answers
Answer:
Thousands Hundreds Tens Ones6 4 5 3
Step-by-step explanation:
Number x Multiplier = Value6 x 1,000 6,000
4 x 100 400
5 x 10 50
3 x 1 3
Add up all of the values and you get 6,453.
need help, plz answer
Answers
Answer:
55 r5
Step-by-step explanation:
Answer:
390/7=55 with a remainder of 5.
Step-by-step explanation:
we can get this answer by subtracting fifty-five sevens from three-hundred ninty.
390-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7=5
Question 13
Find the value of x.
Answers
What is the slope of the line that passes through the points (8,7) and (4, 5)? Write
your answer in simplest form.
Answers
Answer: 1/2
Step-by-step explanation: got it right
The slope of the line that passes through the points (8,7) and (4, 5) is 1/2.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).
The given coordinate points are (8, 7) and (4, 5).
Substitute (x₁, y₁)= (8, 7) and (x₂, y₂)= (4, 5) in slope formula, we get
Slope = (5-7)/(4-8
= -2/(-4)
= 1/2
Therefore, the slope of the line that passes through the points (8,7) and (4, 5) is 1/2.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ6
Multiply. Write your answer as a fraction in simplest form.
5/6⋅(−4 1/2)⋅(−2 1/5)=
Answers
Answer:
7425
Step-by-step explanation:
First let's make the last two fractions improper.
-4 1/2 = -9/2 -2 1/5 = -11/5
Now we have to find the least common denominator.
[tex]\frac{5}{6} *\frac{-9}{2}*\frac{-11}{5}[/tex]
The least common denominator is 30 because all the denominators can be multiplied by something to get 30.
[tex](\frac{5}{5})*\frac{5}{6}* (\frac{15}{15})*\frac{-9}{2}* (\frac{6}{6})*\frac{-11}{5}[/tex] Simplify
[tex]\frac{25}{30}*\frac{-135}{30}*\frac{-66}{30}[/tex] simply
[tex]\frac{-3375}{30}*\frac{-66}{30}[/tex]
[tex]\frac{222750}{30}[/tex] simply
7425
what is vertex of the graph of the function below y=x^2-10x+21
Answers
Answer:
(-4,5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
it is (5,-4) the first answer is backwards
$3.75 for 5 apples: division pls
Answers
Answer: 0.75
Step-by-step explanation:
It is easier to divide if you get rid of the decimal, divide 375/5, and then add the decimal back.
What was the purpose for the creation of the Pythagorean theorem?
Answers
Answer:
Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.
Step-by-step explanation:
HHHHHHEEEEEEEEELLLLLLLLLPPPPPP
Answers
Answer:8 over 4
Step-by-step explanation:
Rise over run
The price of stock market in at 9 AM was 13.17 then the price has been increasing at a rate of 0.11 each hour at noon the price of stuff he was 13.67 it begins to decrease at the rate of 0.12 each hour if the two rates continue and how many hours were the prices of the two stocks with the same
Answers
Answer:
2.26 hours
Step-by-step explanation:
Given that:
Stock 1:
Initial price = 13.17
Rate of increase = $0.11 per hour
13.17 + 0.11h - - - (1)
Stock 2 :
Initial price = 13.69
Rate of decrease = 0.12 per hour
13.69 - 0.12h - - (2)
13.17 + 0.11h = 13.69 - 0.12h
0.11h + 0.12h = 13.69 - 13.17
0.23h = 0.52
h = 0.52 / 0.13
h = 2.26 hours
please help me quickly the question is on the image
Answers
What are the values of x and y if this equation is true?
22(x + yi) + (28 + 4i) 72 – 62i
Answers
Answer:
x = 2
y = -3
Step-by-step explanation:
The given equation is,
22(x + yi) + (28 + 4i) = 72 - 62i
By solving this equation further,
22x + 22yi + 28 + 4i = 72 - 62i
(22x + 28) + (22y + 4)i = 72 - 62i
Now both the sides of the equation is in the form of complex number,
By comparing real and imaginary parts given on both the sides,
22x + 28 = 72
22x = 72 - 28
22x = 44
x = 2
22y + 4 = -62
22y = -62 - 4
22y = -66
y = -3
Therefore, x = 2 and y = -3 are the values for which the given equation is true.
Evaluate. 68.14 + 0.0007
Answers
Answer:
68.1407 us the answer
Step-by-step explanation:
Just add
Jane decided she would spend the
of her money on Sweet Tarts. About how
many pounds of Sweet Tarts did Jane
purchase?
. Between the gum balls, Pixie Sticks, and
that she would spend the rest
Sour Patch Kids, how much money will
Nicholas have left of his allowance?
Answers
Answer:
can you comment the real question because this is just gibrish
Step-by-step explanation:
Find the midpoint of the line with endpoints G(-4,4) and H(6,4)
Answers
Answer:
(1,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
what are the last ones
Answers
0.75 cups and 144 teaspoons
Step-by-step explanation:
I'm 99.99% sure I got it right