Answer:
[tex]x^4-20x^3 +175x^2 -750x+1250[/tex]
Step-by-step explanation:
By the conjugate root theorem, 5+5i is also a root.
[tex]f(x)=a(x-5)^2 (x-5-5i)(x-5+5i) \\ \\
= a(x^2 - 10x+25)((x-5)^2 - (5i)^2) \\ \\
= a(x^2 - 10x+25)(x^2 - 10x+25+25) \\ \\
= a(x^2-10x+25)(x^2-10x+50) \\ \\
= a(x^4- 10x^3 + 50x^2 - 10x^3 + 100x^2 - 500x + 25x^2 - 250x+1250) \\ \\
= a(x^4-20x^3 +175x^2 -750x+1250) \\ \\ [/tex]
I NEED HELP NOWWWWW pls
Which statement is true about this data set?
3,1, 6, 4, 4, 4, 3, 2, 5, 3
Answer:
What statements?
Step-by-step explanation:
Is there a list of statements for this question? I would love to help!
A car travels 136 miles using 7 gallons of gas. At that rate, how far can the car travel using 42 gallons of gas?
Answer:
in 136 miles=7 gallons
?=42 gallon
= 136=7
?=42
cross multiply
136×42=5,712
=5,712÷7=816
Answer:
816 miles
Step-by-step explanation:
136miles/7 g =19.43
19.43 x 42 ≅ 816.06
or
136/7 = X/42
solve for X
42/7 =6, then 136 x6= 816
x = 816 miles
Given the parent functions f(x) = 3x + 2 and g(x) = 5^x - 10, what is g(x) – f(x)? (2 points)
оа
g(x) = f(x) = 5^x- 8 - 3x
Ob
g(x) = f(x) = 5^x - 12 - 3x
ос
g(x) – f(x) = 3x - 8-5^x
Od
g(x) – f(x) = 3x + 12-5^x
1. Evaluate the expression when b = 24.3
10 + b
HELP!!! I have no clue!!! Please help
The principle of superposition is a useful technique in developing solutions to differential equations after an initial solution is derived. In developing such solutions it is often convenient to consider separately the response of a system to initial conditions with all forcing function inputs equal to zero, and, secondly, the response to the forcing function with all initial conditions equal to zero. Consider the following differential equation:
dy/dt + ay= bus(t)
with y(c)=0
a. Determine the solution y_i(t) to the equation for nonzero, finite values of a and c, and for b = 0.
b. Determine the solution y_u(t) of the equation for nonzero, finite values of a and b, and for c = 0.
Answer:
A) [tex]y_{i}(t) = C.e^{-at}[/tex]
B) [tex]y_{u}(t) = - \frac{b}{a} e^{-at} + \frac{b}{a}[/tex] t > s
Step-by-step explanation:
Attached below is a detailed solution of the given problem
Given equation:
dy/dt + ay = [tex]bu_{s}(t)[/tex] with Y(c) = 0
A) Determine the solution [tex]Y_{i}(t)[/tex]
[tex]y_{i}(t) = C.e^{-at}[/tex]
B) Determine the solution [tex]Y_{u} (t)[/tex]
[tex]y_{u}(t) = - \frac{b}{a} e^{-at} + \frac{b}{a}[/tex]
A company has net working capital of $843. Long-term debt is $4,402, total assets are $6,633, and fixed assets are $4,272. What is the amount of total liabilities?
Answer:
Step-by-step explanation:
6633-4272-843+4402=5920
btw,wrong subject
The floor in the room is 4.5m long and 3.1m wide. Calculate the area of the floor
Answer:
13.95 metre square
Step-by-step explanation:
The measurements you gave are different. Hence it concludes that the floor is rectangular in shape.
Sooo,
Area of rectangle = length x breadth
= 4.5×3.1 = 13.95 m^2
Hope it helped!!!
As a part of lesson on motion students observed a cart rolling at
a constant
Answer:
follow me for right answer
Of all the eighth graders at the Paxton School, 15 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and soccer only, 2 played volleyball and soccer only, 1 played basketball and volleyball only, and 2 played volleyball, basketball, and soccer.
How many played one or more of the three sports?
Answer:
32
Step-by-step explanation:
You visit an amusement park with your family over the summer. Each adult ticket costs $45 and each child ticket costs $32. Let 'a' be the number of adults, and 'c' be the number of children. Which expression below accurately represents the amount of money your family will pay to get in?
Answer:
45a + 32c
Step-by-step explanation:
a tickets at $45 per ticket cost 45a
c tickets at $32 per ticket cost 32c
The total cost is
45a + 32c
açıl hızlı cevap verin lütven
Answer:12
Step-by-step explanation:
Mr. Griggs took his two daughters to the movies to see Frozen 2. He paid 19 dollars in all for the tickets. An adult ticket costs 9 dollars. Write and solve an equation to find how much each child ticket cost.
Answer:
19 - 9 = 2x
$5 per child ticket
Step-by-step explanation:
19 - 9 = 2x
10 = 2x
10 ÷ 2
X= 5
$5 per child ticket
−3(x−6)−3x⩾12equals
the length of the rectangle is 3 times the width. The perimeter is 65.6cm. find the width
Answer:
Step-by-step explanation:
L = 3W
Perimeter = 2L + 2W = 2(3W) + 2W = 8W
8W = 65.6 cm
W = 8.2 cm
5. Cuando abrió sus puertas, una tienda de café ofrecía 6 tipos diferentes de
bocadillos. Desde entonces, agregó dos nuevos bocadillos cada semana.
Si la tienda ofrece ahora 28 bocadillos diferentes, ¿cuántas semanas (s) han
transcurrido desde su inauguración?
?
Answer:
11 weeks have passed.
Step-by-step explanation:
We can create a linear function that represents the number of bocadillos offered as a function of the number of weeks (s) that went by since the beginning (when the number of bocadillos was 6):
f(s) = 6 + 2 * s
Since now the number of bocadillos is 28, we can solve for s in the equation
28 = 6 + 2 * s
subtract 6 from both sides
28 - 6 = 2 * s
22 = 2 * s
divide both sides by 2
11 = s
Therefore, 11 weeks have passed.
Two number cubes are tossed. Find P(1, then 2 or 3).
Answer:
1/2
Step-by-step explanation:
Answer:
1/6 × 2/6 × 3/6 = 1/36
Step-by-step explanation:
Timothy worked 9 hours and earned $7425. How much does he make per
nour at his job?
how to get the answer for 2 3/4 gallons and 5/8 to equal 1 23/32
Answer:
jhwgehebf
Step-by-step explanation:
bwjsfehoal topu
State weather ABC and AED are congruent. Justify your answer
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
Answer:
64.5°
25
Step-by-step explanation:
64.5° (If they are similar, they have the same angle measurements).
You can figure out z by using ratios.
6/10=15/z
cross multiply
150=6z
150÷6=z
z=25 (Although, there is a problem with this. If you use the Pythagorean theorem to find z, you get 28.8).
at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students not taking either. if a student is randomly selected from the other school, what is the probability that they are taking chemistry or physics?
Answer:
24/16 (not simplified nor teacher checked)
Step-by-step explanation:
What you would need to do is add up all of the students that are taking chemistry, physics, or both. Then place that number in a divsion form.
10+9= 19+5=24
16
24/16
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Help its due in 20 minutes please
Answer:
The answer is A
Step-by-step explanation:
F the total number of fees is how much 250 + 15g equals
All changes saved
Shane invested $3,500 in a savings account that pays 4% interest semiannually (every 6 months). How much
money will he have in his account in 5 years?
Answer:
$4,266.48
Step-by-step explanation:
Hope this helps.
Given the linear system:
5x + 3y = 17
-8x - 3y = 9
What is the correct formula for the solution to the linear system?
Answer:
Step-by-step explanation:
For this question, it's C
A piece of paper has an area of 93.5 square inches. How many times does it need to be folded in half before the area is less than 1 square inch? Explain how you know.
Answer:
7 times.
Step-by-step explanation:
Keep dividing 93.5 by 2 until it becomes less than 1.
The sheet needs to be folded in half 7 times.
Since the area of the piece of paper is 93.5 square inches, and we need to fold the sheet in half it 'n' times to get an area less than 1 square inch. This is written mathematically as 93.5(1/2)ⁿ ≤ 1.
So, dividing through by 93.5, we have
(1/2)ⁿ ≤ 1/93.5
(1/2)ⁿ ≤ 0.0107
taking natural logarithm of both sides, we have
㏑(1/2)ⁿ ≤ ㏑0.0107
n㏑(1/2) ≤ ㏑(0.0107)
n ≤ ㏑(0.0107)/㏑(1/2)
n ≤ -4.538/-0.693
n ≤ 6.55
Rounding up to the nearest whole number,
n ≅ 7
So, the sheet needs to be folded in half 7 times.
Learn more about paper folding here:
https://brainly.com/question/16926437
submit in simplest radical form :(
Answer:
x=5√3=8.6......
y=5
.....
a2+3b−12
a=6
and b=2
answer plsss
(6×2)+(3×2)-12
the answer is 6
hope that helps:)
lengths of two sides of a triangle are 6cm and 10cm. the two whole numbers between which the length of third side lie is
Answer:
plz mark me as brainiest
Step-by-step explanation:
10-6=4
10+6 =16
4 >x>16.
Nicole is choosing an outfit from the following. Pants: denim, black Shirts: green, yellow Shoes: sandals, tennis shoes She starts a tree diagram: A tree diagram. D branches to G and Y. B branches to G and Y. How many possible combinations are there? There are possible combinations.
Answer:
8 possible outcomes
Step-by-step explanation:
Answer:
8 is correct!!
Step-by-step explanation: