9514 1404 393
Answer:
f(x) = x^4 -x^3 +7x^2 -9x -18
Step-by-step explanation:
The imaginary root has a corresponding conjugate that is also a root. Each root has a corresponding factor: (x -p) for root p.
f(x) = (x -3i)(x +3i)(x -(-1))(x -2)
f(x) = (x^2 +9)(x^2 -x -2) . . . . combine pairs of factors
f(x) = x^4 -x^3 +7x^2 -9x -18 . . . . finish multiplying it out
__
We have made use of the products of binomials:
(x +a)(x +b) = x^2 +(a+b)x +ab
(x +a)(x -a) = x^2 -a^2
Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.
1. Find her earned income level.
2. Entered the base amount. = $
3. Found the amount over $ = $
4. Multiplied line 3 by 25% = $
5. Added Lines 2 and 4 = $
Answer:
1:31,850-77100
2:4389
3:31850=21150
4:5287.50
5:9673.50
Step-by-step explanation:
Just basic math yall
can someone help me plssssss
Answer:
16.5
Step-by-step explanation:
The population of a town
bendly increase by 20 %
every year. If the populatich
Of the town in 2015 was 600,000 then what would be the population in 2018
Answer:
1,036,800 in year 2018
Step-by-step explanation:
20% of 600,000 is 120,000
120,000+600,000=720,000
720,000 in year 2016
20% of 720,000 is 144,000
720,000+144,000=864,000
864,000 in year 2017
20% of 864,000 is 172,800
172,800+864,000=1,036,800
1,036,800 in 2018
What is 49/50 equivalent to as a decimal and as a percent
A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend?
Answer:
maddy will spend $61.23
Step-by-step explanation:
add $22.38 to $38.85
Weird question but, whenever you divide by 1/4 or multiply by 4/1, will you always get the same answer.
(25 points if you answer this.)
Answer:
yep
Step-by-step explanation:
when you divide a fraction u can use the KCF method which is basically:
(keep) the first fraction the same
(change) the division sign in the middle to a multiplication sign
(flip) the second fraction
basically because you have to flip the 1/4 when you divide it, it'll be the same as a 4/1 anyways
The Murphy family is on a road trip. On the first day, they traveled 30% of their total distance. On the second day, they traveled another 1 4of the total distance. What fraction of the total distance do they have left after
Answer:
5/12
Step-by-step explanation:
Total distance travelled = 30% + 1/4
To add these numbers, convert 30% to fraction
30% = 1/3
1/3 + 1/4 = 7/12
Remaining distance = 1 - 7/12 = 5/12
What is this distance between the following points? Use the distance formula.
Choices are 6, 8, (square root of) 72, or 79
Determine what each letter represents in the Punnett square.
Letters A and B represent the genotypes of the
.
Letters C, D, E, and F represent the genotypes of the
.
Answer:
It is first one PARENTS. Second one OFFSPRING.
Step-by-step explanation:
edg 2021. ALSO, yy and xx is parents and offspring.
Answer: first blank parents, second blank offspring
Step-by-step explanation:
Simplify. -y -7x + 7y
The simplified expression is ___y - ____x.
Answer:
the simplified expression is: 6y-7x
Step-by-step explanation:
-y+7y= 6y
-7x
= 6y-7x
HELP PLEASE ANYONE I’m so lost
Answer:
x =4
Step-by-step explanation:
so pretty much you're give the values for theta and phi, so all you have to do is insert the values in their corresponding position and simplify it. After the simplification process, the answer should be no less or more than 4.
Answer:
the answer is 4
Step-by-step explanation:
by simplification;
=》
[tex] \frac{a + b}{a - b} [/tex]
** putting the value of a and b :-
=》
[tex] \frac{5 + 3}{5 - 3} [/tex]
=》
[tex] \frac{8}{2} [/tex]
=》
[tex]4[/tex]
Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched between the tops of the posts, how far apart are the posts?
Answer:
22 1/4 feet
Step-by-step explanation:
you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).
use Pythagorean Theorem to find the base side, which represents the distance between the posts
a² + 9² = 24²
a² + 81 = 576
a² = 576 - 81
a² = 495
a = [tex]\sqrt{495}[/tex]
a = [tex]\sqrt{9}[/tex] · [tex]\sqrt{55}[/tex] = 3[tex]\sqrt{55}[/tex], which is approx 22.25
Answer:
about 22.25 feet
Step-by-step explanation:
You can think of it like a triangle, which you can see at the bottom
Then, use the pythagorean theorem, [tex]a^2 + b^2 = c^2[/tex].
you have a = 9 and c = 24, so
[tex]9^2 + b^2 = 24^2\\81 + b^2 = 576\\b^2 = 495\\b = \sqrt{495} = 3\sqrt{55} = about 22.25[/tex]
Parker drove 8 miles in 15 minutes. If he drove at a constant rate, how far did he travel in one hour?
What is the value of X?
What is the value of Y?
What is the value of Z?
Answer:
The answer is
[tex]x = 12 \\ y = 20 \\ z = 15[/tex]
Step-by-step explanation:
By using Pythagoras low
Then we can find that
[tex] {y}^{2} = {x}^{2} + {16}^{2} \\ {z}^{2} = {x}^{2} + {9}^{2} \\ {y}^{2} + {z}^{2} = {25}^{2} \\ then \\ {x}^{2} + {9}^{2} + {x}^{2} + {16}^{2} = {25}^{2} \\ 2 {x}^{2} = 288 \\ x = 12 \\ By \: substituting \: x \: into \: the \: previous \: equations \\ then \: \\ y = 20 \\ z = 15[/tex]
Answer:
The answer is
Step-by-step explanation:
By using Pythagoras low
Then we can find that
Step-by-step explanation:
The midpoint of overline AB is M(0, - 7) . If coordinates of A are (- 2, - 6) , what are the coordinates of B?
Given:
The midpoint of overline AB is M(0, - 7) .
The coordinates of A are (- 2, - 6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The midpoint of overline AB is M(0, - 7). Using the midpoint formula, we get
[tex]M=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)[/tex]
[tex](0,-7)=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-2+a}{2}=0[/tex]
[tex]-2+a=0[/tex]
[tex]a=2[/tex]
And,
[tex]\dfrac{-6+b}{2}=-7[/tex]
[tex]-6+b=-14[/tex]
[tex]b=-14+6[/tex]
[tex]b=-8[/tex]
Therefore, the coordinates of point B are (2,-8).
Divide Rs 36 between Avni and Namitha in the ratio of 5:4. Find how much each will get
Step-by-step explanation:
Avni's ratio = 5/9
Money of Avni = 36*5/9= 20
Namitha's ratio= 4/9
Money of namitha = 36*4/9= 16
please help!!! A pair of parallel lines are reflected. Which of these could be the result? thankyou!! (will mark brainliest
Answer:
C
Step-by-step explanation:
parallel lines never cross
1. What is the angle relationship
2. What is the value of r?
Step-by-step explanation:
x + 62 = 90
because they are complementary angles
I don't see any r
but I guess since they're complementary it would be 90 - 62
Answer:
Complementary angles
x = 28°
Step-by-step explanation:
Angle relationship = Complementary angles
x = 90° - 62° = 28°
Factor.
3y^2 + 5y - 2
If you can, please give me an explanation, I'm confused about how to do this.
(Example of how the answer would look like: (5x+3)(x+1))
cuántas unidades es mayor + 16 con respecto a +3
Answer:
es 13 unidades mayor
Step-by-step explanation:
16 - 3 =13
[tex]\frac{7x-4} 6\ \textgreater \ 4[/tex]
Answer:
x > 4
Step-by-step explanation:
multiply by 6 to both sides to take out the fraction, leaving u with :
7x - 4 > 4(6)
7x - 4 > 24
+4 +4
7x > 28
divide by 7 to isolate the x
x > 4
75 times 243
If your doing just for points I’ll report you
The prime factorization of 16x5
Answer:
well first 16x5=80
2 * 2 * 2 * 2 * 5
Step-by-step explanation:
Hope that helps! :)
Someone was shopping at a store that advertised 50% off everything. She found a new CD player originally priced at $76. What was the sale price?
Answer:
38
Step-by-step explanation:
Select an equation of a parabola that has a vertex at (2,-1) and a zero at x=3 .
A. y=x² -4x+ 5
B. y=x² -4x + 3
C. y=x² + 4x -21
D. y=x² + 4x +3
Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 2 years?
Answer:
$511.575
Step-by-step explanation:
Given data
P=$475
R=3.8%
T= 2 years
Compound interest
A=P(1+r)^t
substitute
A=475(1+0.038)^2
A=475(1.038)^2
A=475*1.077
A=511.575
Hence the final amount is $511.575
The longest side of a triangle is 8 more units than the shortest side. The third side is 4 times the length of the shortest side. If the perimeter of the triangle is 32 units, write and solve an equation to find the length of all 3 sides of the triangle
Answer:
10 3/4, 4 3/4, and 9 1/2
Step-by-step explanation:
We're going to let x represent the length of the longest side. The perimeter is
x +(x-6) +2(x-6) = 25
4x -18 = 25
4x = 43
x = 43/4 = 10 3/4
Then x-6 = 4 3/4.
Multiply that two to get 8 3/2 = 9 1/2
I hope this helped! :)
pls help meh
6th grade math
Answer:
1,728%
Step-by-step explanation:
multiply baby
-5x -2y= -9
8x + 8y= 24
Answer:
x=5
y=-17
Step-by-step explanation:
basically what I did was:
1) I multiplied the first equation by 4 , solved for x
2) I used the value of x that i found and substituted in one of the equations to find y
Answer: x=0 y=2
..................
How many solutions does 15x+12y=18 have
Answer: 2 or more.
X and Y could be anything, so there are at least two answers