Answer:
Step-by-step explanation:
Given the matrix
[5 3]
[-4 4]
The characteristic polynomial is expressed as |A - λI| = 0 where λ are the eigen values and I is am identity matrix A 2*2 identity matrix is expressed as;
[1 0]
[0 1]
Substitute into expression will give;
[tex]= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \lambda \left[\begin{array}{cc}1&0\\0&1\\\end{array}\right] = 0\\= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \left[\begin{array}{cc}\lambda &0\\0&\lambda \\\end{array}\right] = 0\\= \left[\begin{array}{cc}5-\lambda&3\\-4&4-\lambda\\\end{array}\right] = 0[/tex]
Find the determinant of the resulting matrix;
|A - λI| = (5- λ)(4- λ)- 3(-4) = 0
|A - λI| = 20-5 λ-4 λ+ λ²+12 = 0
|A - λI| = 20-9λ+λ²+12 = 0
-9λ+λ²+32 = 0
Rearrange;
λ²-9λ+32 = 0
Hence the characteristic polynomial is expressed as λ²-9λ+32 = 0
Get the eigen values by finding the roots of the equation;
λ = 9±√9²-4(1)(32)/2
λ = 9±√81-(128)/2
λ = 9±√-47/2
λ = 9±√-47/2
λ₁ = 9-√47 i/2 and λ₂ = 9+√47 i/2
Which sequence could be partially defined by the recursive f (n + 1) = f(n) + 2.5 for n > 1?
Answer:
Step-by-step explanation:
f(n + 1) = f(n) + 2.5
f(1) = -10
f(2) = f(1) + 2.5 = -10 + 2.5 = -7.5
f(3) = f(2) + 2.5 = -7.5 + 2.5 = -5
f(4) = f(3) + 2.5 = -5 + 2.5 = -2.5
A box weighs 90 grams. Write down, in terms of b, the weight of the boxes.
Answer:
'
Step-by-step explanation:
'
Vocabulary: Match each of the vocabulary words with the correct definitions.
Answer:
Sorry, but we can't do the whole assignment for you. Though I can answer one, number 8 is a Y-Intercept
Step-by-step explanation:
someone please help with my math question on my page/account
Answer:
you couldve put it here -.-
Step-by-step explanation:
Guys please help
Relative frequencies are calculated as _____.
A. Median
B. Totals
C. Percentages
D. Ranges ?
Answer:
B.
Step-by-step explanation:
Answer:
The answer is percentages
Step-by-step explanation:
I got it right on a quiz
At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
2:3
3 to 2
StartFraction 5 Over 3 EndFraction
3 to 5
Answer:
3 to 5
Step-by-step explanation:
Use the Distributive Property to simplify the expression. 10(4-w)=
HELP PLZ!!!!!!
Answer:
40 - 10w
Step-by-step explanation:
A bakery offers a sale price of $2.90 for 6 muffins. What is the price per dozen?
Answer:
8.70
Step-by-step explanation:
Answer:
the price for per dozen would $5.80 I hope this is right
Step-by-step explanation:
you multiply $2.90 by 2 because the muffins are 2.90 for 6 muffins so if you add 6 on it would be a dozen so all you have to do it multiply 2.90 by 2 please tell me if this is correct or wrong if it is wrong i will change it to the correct answer thank you
Is 56 × 19/20 greater than or less than 56?
Answer:
Less
Step-by-step explanation:
56 is multiplied by 19/20 which is obviously less than one
Answer:
Step-by-step explanation:
56/60 = 0.9333
19/20 = 0.95
Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.9333 is NOT greater than 0.95 which also means that 56/60 is NOT greater than 19/20.
Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!
find the total composite area
Answer:
Times, and conquer.
Step-by-step explanation:
First half the picture, for the circle and square. so we know the base is 28m, and the length including the circle is 24. So now times the two numbers and bam your answer.
Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the surface of the sea. On a number line, what is the distance between the two elevations?
a:7
b;8
c:13
d:14
Answer:
13
Step-by-step explanation:
Please help me ;-; idk how to do this
Answer:
7.5
Step-by-step explanation:
12.5/10=1.25
7.5/6=1.25
PLZ HELP WILL GIVE BRAINLIEST AND ITS NOT TOO HARD JUST IN A RUSH!!!! ;)
Answer:
5/6
Step-by-step explanation:
"Thus, 5/6 is the simplified fraction for 20/24 by using the GCD or HCF method. Thus, 5/6 is the simplified fraction for 20/24 by using the prime factorization method."
The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.
Based on the graph, how many real number solutions does the equation x3 + 6x2 + 12x + 8 = 0 have?
no real number solutions
one real number solution
two real number solutions
three real number solutions
As per cubic equation, there will be one real solution of the given equation.
What is a cubic equation?"A cubic equation is an algebraic equation of degree three and is of the form ax³ + bx² + cx + d = 0. x is a variable.
Here a, b and c are the coefficients and d is the constant"
Given cubic equation is:
x³ + 6x² + 12x + 8 = 0
⇒ x²(x + 2) +4x(x + 2) + 4(x + 2) = 0
⇒ (x + 2)(x² + 4x + 4) = 0
⇒ (x + 2)(x + 2)² = 0
⇒ (x + 2)³ = 0
⇒ x = -2
There will be one real solution of the given equation.
Learn more about cubic equation here: https://brainly.com/question/9390802
#SPJ2
A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. A bathroom sink faucet streams 0.75 gallon of water in 18 seconds. Which faucet will fill a 3-gallon container faster?
Answer:
A kitchen sink faucet
Step-by-step explanation:
0.5 gallon of water × 6 = 3 gallons
10 second × 6 = 60 seconds = 1 minute
0.75 gallon of water × 4 = 3 gallons
18 seconds × 4 = 72 seconds = 1 minute 12 seconds
1 minute is faster than 1 minute and 12 seconds by 12 seconds
so a kitchen sink faucet
Pls help me , I really need help and I’ll let u get the brainliest
Answer:
y=5x
Step-by-step explanation:
x-months
y-books read
5*x = y
2√x+1=7
what is the value of x
Answer:
9
Step-by-step explanation:
2√x+1=7
2√x=6
√x=3
x=9
a family of 6 goes to the local sandwich shop. All six people order the combination meal, which includes a drink and a sandwich for $6.99. One person thinks the total bill will be around $30. Is this a reasonable estimate?
Answer:
No, a reasonable estimate is around 6 times $7 = $42
Step-by-step explanation:
$6.99 is rounded up to 7, and there are 6 people who ordered a $7 meal. And 6 times 7 is 42
Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)
tan(x) − 2 sin(x) tan(x) = 0.
Answer:
[tex]0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi[/tex]
Step-by-step explanation:
Given the equation:
[tex]sin(x)-2sin(x) tan(x)=0[/tex]
To find:
The solutions of given equation in the range [0, 2[tex]\pi[/tex]) i.e. 0 can be in the answer but [tex]2\pi[/tex] can not be there in the answer.
Solution:
Taking [tex]tan(x)[/tex] common, we get:
[tex]tan(x) (1-2sin(x))=0[/tex]
The solutions can be given as:
[tex]tan(x) = 0[/tex] OR [tex]1-2sin(x) = 0[/tex]
Let us solve both the equations one by one:
First equation:
[tex]tan(x) = 0\\ \Rightarrow x=0, \pi[/tex]
Second equation:
[tex]1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}[/tex]
Therefore, the answers as a comma separated list are:
[tex]0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi[/tex]
Plz helpppppppppppppppp
3. Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer.
Answer:
His answer is correct. Because..
Step-by-step explanation:
9 ÷ 4 = 2.25
(Nine divided by four is Two point Twenty-Five.)
His answer was correct:
(200*0.09)=18
18*16=288
200+288=488
But what did you multiply to get 75?\
Answer:
You multiply 37.5*2 to get 75.
Step-by-step explanation:
what does descendant mean
Answer:
a person, plant, or animal that is descended from a particular ancestor.
URGENT TEST I HAVE!!!!
Answer:
I think they are asking the area of the triangle so we are going with that.
Step-by-step explanation:
Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.
so it is 4 cm wide
and 8 cm tall
length x width = area
8 x 4 = 32
32/2 = 16
So your answer should be 16 cm
The city council voted on a new tax. 21 city council members voted in favor of the tax and 4
voted against the tax. What percentage of the city council members voted in favor of the tax?
Write your answer using a percent sign (%).
Answer:
25%
Step-by-step explanation:
The total number of city council is 80 and 20/80 is 1/4
The computer store pays $250 each for a flat screen monitor. The store uses a 30% markup. Find the selling price for each flat screen monitor.
Answer:
Step-by-step explanation:
250*30%=75 mark up
250+75 markup = 325 selling price
-8(3-s)=32 how will I solve for s becaus I am confused
Answer:s=7
Step-by-step explanation:
-8(3-s)= 32
Multiplication
-24+8s=32
Here you have to add 24 on both sides
8s= 56
Division by 8
s=7
Answer:
S=7
Step-by-step explanation:
Louis owns a rectangular piece of property with an area of 1 3 4 square miles. The length of the property is 2 1 3 miles. What is the width of the property?
Answer:
Step-by-step explanation:
Area of the land A - Length * Width
Given
A = 1 3/4 mi²
Length L = 2 1/3 miles
Required
Width of the property
Substitute into the formula;
A = LW
W = A/L
W = 1 3/4/(2 1/3)
W = 7/4 ÷ 7/3
W = 7/4 × 3/7
W = 3/4 miles
Hence the width of the property is 3/4 miles
1 + 1 I'm confusedddddddddddddddddddddddddddddddddddddddddd
Answer:
its 2 homie
Step-by-step explanation:
1+1 equals 2 one thing plus another equals the next number.
guys, dark blue or blue for my pen?
Answer:
Blue.
Step-by-step explanation:
Because I think blue is the second best color. ( 1st best being black.)