Answer: Greater than
Step-by-step explanation: 0.012 is 12 hundreths
0.12 is 12 tenths
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.
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 ball is thrown directly upward from a height of 3 ft with an initial velocity of 20 ft/sec. The function s(t)=-16t^2+20t+3 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.
Answer:
#1: s'(t)= -32t+20
#2: -32t+20=0
t=2/3
#3: s(2/3)=-16(2/3)^2+20(2/3)+3=83/9
Step-by-step explanation:
first find the derivative of the original funtion #1
set the equation equal to 0 because when s't=0 is the maximum height
put the t at highest point into the funtion to solve for distance
Which inequality is true?
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
Solve 12-5x-4kx=y for x
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
Write the expression in radical form. (x + 1) 2/3
what is vertex of the graph of the function below y=x^2-10x+21
Answer:
(-4,5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
it is (5,-4) the first answer is backwards
Which student correctly translated the phrase "twice the sum of a number cubed and nine" and evaluated it for r = 3?
Antonio's work Jessica's work Maria's work Mark's work
2(r + 9)
2(r+ 9) 2+p3 +9 2 + 3r + 9
2(3 + 9)
2(3' + 9)
2 + 3² +9 2 + 3(3) +9
O
2(9+ 9)
2(27+ 9) 2 + 27 + 9
2 + 9 + 9
2(18)
2(36)
29 + 9
11 + 9
36
(72
38
20
O
Answer:
answer is B
Step-by-step explanation:
i did it in e2022
person above me gets brainliest
w = 8.75h
What is an impossible value for h?
Answer:
h = 0.1 142857 w
Step-by-step explanation:
Answer:
hayy
Step-by-step explanation:
5/6 divide (-13/7)
what does this equal?
Answer:
i think -35/78
Step-by-step explanation:
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line of symmetry? What is the other zero of the quadratic function?
Given:
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.
To find:
The other zero.
Solution:
We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.
It means, line of symmetry passes through the mid point of both zeroes.
Let the other zero be x.
[tex]-3.5=\dfrac{(-9)+x}{2}[/tex]
Multiply both sides by 2.
[tex]-7=-9+x[/tex]
Add 9 on both sides.
[tex]-7+9=-9+x+9[/tex]
[tex]2=x[/tex]
Therefore, the other zero of the quadratic function is 2.
Answer: A=0, B=6, C=4.
The axis of symmetry is x = ½
The smaller zero is -2
The larger zero is 3
Step-by-step explanation: Correct in edge 2020, the format makes it hard to find answers online but I just did the assignment
what is the sum of the place values of the number 6,453
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.
Marrisa went to target to buy a sweater. She was exited that all the sweaters were 40% off She picked out a sweater with the original price of $28.99 How much money did marrissa save? How much did she pay for the sweater?
Please helpppp
What number is equivalent to -(-2)? A. -2 b. 0 c. 2 d. 4
In a group of 90 seventh
graders, 80% like hot chocolate.
How many students do not like
hot chocolate?
Answer: 18
Step-by-step explanation:
90 / 10 = 9 (10%)
9 x 8 = 72 (80%)
90 - 72 = 18 (20%)
Meredith invested $5,500 into an account that earned 5% interest per year. When she cashed out the investment to use it as a down payment for a new car, it was worth a total of $7,739.05.
Which equation describes Meredith's investment based on t, the number of years she kept the account open?
HINT: total worth= investment amount (1.05)^t
A: t= $7,739.05 ($5,500)^ 0.05
B: $7,739.05= $5,500 (1.05) ^t
C: t= $7,739.05 ($5,500)^ 1.05
D: $7,739.05 $5,500 (0.05) ^t
PLEASE HELP ME ASAP
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answer:
T = 5.79 (approximated)
Step-by-step explanation:
Using I = PRT/100
where P = The principal amount invested = $5500
R = Rate of Interest =5%
T = Time (in years)
I = Interest = $7,739.05 - $5500 = $2239.05
Substituting the above values in the formula
I = PRT/100 becomes
2239.05 = 7,739.05 * 5 * t / 100 -------- Multiply 100 to both sides
2239.05 * 100 = 100 * 7739.05 * 5 * t / 100
223905 = 7739.05 * 5 * t
223905 = 38695.25t
Divide both sides by 38695.25t
223905/38695.25 = t
5.786369 = t
T = 5.79 (approximated)
What was the purpose for the creation of the Pythagorean theorem?
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:
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.
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]
Evaluate. 68.14 + 0.0007
Answer:
68.1407 us the answer
Step-by-step explanation:
Just add
of
Simplify.
1.
4^4
2^5
Answer:
4x4x4x4, 256
2x2x2x2x2, 32
Step-by-step explanation:
can i have brainlies plzz
Convert
40.7% to fraction
Answer:
Decimal Fraction Percentage
0.407 407/1000 40.7
Step-by-step explanation:
Find the midpoint of the line with endpoints G(-4,4) and H(6,4)
Answer:
(1,4)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
-3 4/7 ÷ -1 1/14 it is really hard I need help.
Answer:
There are may different ways to write it...
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Decimal would be 3.3333333333333...
Fraction: [tex]3\frac{1}{3} or\frac{10}{3}[/tex]
Please help with the middle question!!
Answer: D) The relation R is a function because for each input there is exactly one output
There's not much else to say other than what choice D already does. Visually we can use the vertical line test to confirm if we have a function or not. If we can pass a single vertical line through more than one point on a curve, then the curve isn't a function. The graph is said to have failed the vertical line test. Otherwise, the relation passes the vertical line test and we have a function.
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
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 greatest common factor of 18,9, and 45,
Answer:
9
Step-by-step explanation:
They all can be divided by nine.
18/9 = 2
9/9 = 1
45/9 = 5
Hayleigh took a long multiple-choice, end-of-year math test. The ratio of the number of problems Hayleigh got incorrect to the number of problems she got correct is 2:9. If Hayleigh missed 8 questions, how many did she get correct?
Answer:
36
Step-by-step explanation:
If sh missed 8, then 8/2 is 4, 4x9 is 36
Evaluate -2 x 2y , if x = -3 and y = -1.
Answer:
-12
Step-by-step explanation:
hope this helps
Answer:
-12
Step-by-step explanation:
i did math
Point P' is the image of P(-2,4) under a translation by 2 units to the left and 5 units down.
Answer:
(-4,-1)
X value: -2 - 2 = -4.
Y value: 4 - 5 = -1
Jamil finds that he reads 1/5 of his 115-page book in 1/4 hour
Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
You are given a set of data with a mean of 50 and standard deviation of 8. Using the normal curve, give an example of an outlier and explain why.
Answer:
Anything less than 26, and greater than 74.
Step-by-step explanation:
In normal distribution, the outlier is more than e ≈ 2.72 standard deviations above quartile 3, and e standard deviations below quartile 1. These quartiles are divisions that make up what is known as the innerquartile range(IQR). Which defines the variability of a data set given by IQR = Q3-Q1.
Given that the mean of this data is 50, and the standard deviation is 8.
Our outliers are anything less than 26, and anything greater than 74. Since outliers are anything outside the mean plus and minus the standard deviation times 3
[tex] outliers :/ = :/ mean :/ \pm [/tex]