Answer:
1. 5⁴
2. d¹⁰
3. w⁶
[tex]\bf 2x-4=10[/tex]
Answer:
x = 7
Step-by-step explanation:
Add 4 on both sides to get 2x = 14, then divide 2 on both sides to get x = 7.
Hope this helps :)
Find and intercept the slope of this line.
Answer:
The slope is -4. The amount of money left goes down by 4 with each comic book.
Step-by-step explanation:
The answer is D
variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5
Answer:
16.3x
17. 8y
18.x+y
I thing these are the answers of these equations
Write the given expanded form into the standard form of a number.
4
4
T-Th + 5
+
5
T + 1
+
1
H-Th + 9
+
9
O + 3
+
3
M + 7
+
7
Th
Answer
44,005 + 5,001+ 100,009 + 93 + 3,000,007+ 7,000
Step-by-step explanation:
Plz help fast I will mark Brainlyist
How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?
Answer:
see explanation
Step-by-step explanation:
If a polynomial f(x) is divided by (x - r) then the remainder is f(r)
Please solve this! NO ROBOTS!
Answer: 54° or 40°, depending on my interpretation of the problem.
Step-by-step explanation:
I do not understand the drawing. I see a right angle with a line bisecting it at 36 degrees. A right angle is 90°, so the other angle should be (90 - 36) or 54°. But what's shown is (14 - 1)°, and I don't know how to interpret that. Is the "1" supposed to be an "x"? If so, x = 40°
im literally on my last braincell please help omg
an arithmetic sequence is given
-18, -13, -8, -3...
write an explicit formula for the nth term
Answer:
its going up by 5 every time
Step-by-step explanation:i think that would help i dont know if it was obvious
Solve for c.
c= -9 - 8c
c=-9-8c
+8c
9c=-9
c=-1
Hope this helps:D!!
The letter C is equal to negative one.
c = -1
Hope this helps!
Order from least to greatest.
595.05, 595.50, 595.005
Answer
595.005, 595.05,595.50 that's from least to greatest. please let me have brainliest
Step-by-step explanation:
595.005 , 595.50 595.05
i am very confused amd i also hate math so please help
Answer:
The answer that you put is right
what is 1.70 times 8.5
HELP ASAP PLEASE!!!!!!
Answer:
B
Step-by-step explanation:
In a function, every x-coordinate must be a different number.
If the same number appears more than once as an x-coordinate, it is not a function.
Answer: B
Let A be a given matrix below. First, find the eigenvalues and their corresponding eigenspaces for the following matrices. Then, find an invertible matrix P and a diagonal matrix such that A = PDPâ’1.
(a) [ 3 2 2 3 ]
(b) [ 1 â 1 2 â 1 ]
(c) [1 2 3 0 2 3 0 0 3]
(d) [3 1 1 1 3 1 1 1 3]
It looks like given matrices are supposed to be
[tex]\begin{array}{ccccccc}\begin{bmatrix}3&2\\2&3\end{bmatrix} & & \begin{bmatrix}1&-1\\2&-1\end{bmatrix} & & \begin{bmatrix}1&2&3\\0&2&3\\0&0&3\end{bmatrix} & & \begin{bmatrix}3&1&1\\1&3&1\\1&1&3\end{bmatrix}\end{array}[/tex]
You can find the eigenvalues of matrix A by solving for λ in the equation det(A - λI) = 0, where I is the identity matrix. We also have the following facts about eigenvalues:
• tr(A) = trace of A = sum of diagonal entries = sum of eigenvalues
• det(A) = determinant of A = product of eigenvalues
(a) The eigenvalues are λ₁ = 1 and λ₂ = 5, since
[tex]\mathrm{tr}\begin{bmatrix}3&2\\2&3\end{bmatrix} = 3 + 3 = 6[/tex]
[tex]\det\begin{bmatrix}3&2\\2&3\end{bmatrix} = 3^2-2^2 = 5[/tex]
and
λ₁ + λ₂ = 6 ⇒ λ₁ λ₂ = λ₁ (6 - λ₁) = 5
⇒ 6 λ₁ - λ₁² = 5
⇒ λ₁² - 6 λ₁ + 5 = 0
⇒ (λ₁ - 5) (λ₁ - 1) = 0
⇒ λ₁ = 5 or λ₁ = 1
To find the corresponding eigenvectors, we solve for the vector v in Av = λv, or equivalently (A - λI) v = 0.
• For λ = 1, we have
[tex]\begin{bmatrix}3-1&2\\2&3-1\end{bmatrix}v = \begin{bmatrix}2&2\\2&2\end{bmatrix}v = 0[/tex]
With v = (v₁, v₂)ᵀ, this equation tells us that
2 v₁ + 2 v₂ = 0
so that if we choose v₁ = -1, then v₂ = 1. So Av = v for the eigenvector v = (-1, 1)ᵀ.
• For λ = 5, we would end up with
[tex]\begin{bmatrix}-2&2\\2&-2\end{bmatrix}v = 0[/tex]
and this tells us
-2 v₁ + 2 v₂ = 0
and it follows that v = (1, 1)ᵀ.
Then the decomposition of A into PDP⁻¹ is obtained with
[tex]P = \begin{bmatrix}-1 & 1 \\ 1 & 1\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}1 & 0 \\ 0 & 5\end{bmatrix}[/tex]
where the n-th column of P is the eigenvector associated with the eigenvalue in the n-th row/column of D.
(b) Consult part (a) for specific details. You would find that the eigenvalues are i and -i, as in i = √(-1). The corresponding eigenvectors are (1 + i, 2)ᵀ and (1 - i, 2)ᵀ, so that A = PDP⁻¹ if
[tex]P = \begin{bmatrix}1+i & 1-i\\2&2\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}i&0\\0&i\end{bmatrix}[/tex]
(c) For a 3×3 matrix, I'm not aware of any shortcuts like above, so we proceed as usual:
[tex]\det(A-\lambda I) = \det\begin{bmatrix}1-\lambda & 2 & 3 \\ 0 & 2-\lambda & 3 \\ 0 & 0 & 3-\lambda\end{bmatrix} = 0[/tex]
Since A - λI is upper-triangular, the determinant is exactly the product the entries on the diagonal:
det(A - λI) = (1 - λ) (2 - λ) (3 - λ) = 0
and it follows that the eigenvalues are λ₁ = 1, λ₂ = 2, and λ₃ = 3. Now solve for v = (v₁, v₂, v₃)ᵀ such that (A - λI) v = 0.
• For λ = 1,
[tex]\begin{bmatrix}0&2&3\\0&1&3\\0&0&2\end{bmatrix}v = 0[/tex]
tells us we can freely choose v₁ = 1, while the other components must be v₂ = v₃ = 0. Then v = (1, 0, 0)ᵀ.
• For λ = 2,
[tex]\begin{bmatrix}-1&2&3\\0&0&3\\0&0&1\end{bmatrix}v = 0[/tex]
tells us we need to fix v₃ = 0. Then -v₁ + 2 v₂ = 0, so we can choose, say, v₂ = 1 and v₁ = 2. Then v = (2, 1, 0)ᵀ.
• For λ = 3,
[tex]\begin{bmatrix}-2&2&3\\0&-1&3\\0&0&0\end{bmatrix}v = 0[/tex]
tells us if we choose v₃ = 1, then it follows that v₂ = 3 and v₁ = 9/2. To make things neater, let's scale these components by a factor of 2, so that v = (9, 6, 2)ᵀ.
Then we have A = PDP⁻¹ for
[tex]P = \begin{bmatrix}1&2&9\\0&1&6\\0&0&2\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}1&0&0\\0&2&0\\0&0&3\end{bmatrix}[/tex]
(d) Consult part (c) for all the details. Or, we can observe that λ₁ = 2 is an eigenvalue, since subtracting 2I from A gives a matrix of only 1s and det(A - 2I) = 0. Then using the eigen-facts,
• tr(A) = 3 + 3 + 3 = 9 = 2 + λ₂ + λ₃ ⇒ λ₂ + λ₃ = 7
• det(A) = 20 = 2 λ₂ λ₃ ⇒ λ₂ λ₃ = 10
and we find λ₂ = 2 and λ₃ = 5.
I'll omit the details for finding the eigenvector associated with λ = 5; I ended up with v = (1, 1, 1)ᵀ.
• For λ = 2,
[tex]\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}v = 0[/tex]
tells us that if we fix v₃ = 0, then v₁ + v₂ = 0, so that we can pick v₁ = 1 and v₂ = -1. So v = (1, -1, 0)ᵀ.
• For the repeated eigenvalue λ = 2, we find the generalized eigenvector such that (A - 2I)² v = 0.
[tex]\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}^2 v = \begin{bmatrix}3&3&3\\3&3&3\\3&3&3\end{bmatrix}v = 0[/tex]
This time we fix v₂ = 0, so that 3 v₁ + 3 v₃ = 0, and we can pick v₁ = 1 and v₃ = -1. So v = (1, 0, -1)ᵀ.
Then A = PDP⁻¹ if
[tex]P = \begin{bmatrix}1 & 1 & 1 \\ 1 & -1 & 0 \\ 1 & 0 & -1\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}5&0&0\\0&2&0\\0&2&2\end{bmatrix}[/tex]
What are all the factors of 54?
1, 2, 3, 6, 9, 18, 27, 54
1, 2, 6, 9, 27, 54
1, 2, 6, 9, 26. 54
1, 2, 3, 6, 9, 18, 26, 54
Answer:
1,2,3,6,9,18,27,54
Step-by-step explanation:
1 x 54 = 54
2 x 27 = 54
3 x 18 = 54
6 x 9 = 54
9 x 6 = 54
18 x 3 = 54
27 x 2 = 54
54 x 1 = 54
the tens digit was 1. The ones digit was 6. The number was between 600 and 700 what was the number
Answer:
616
Step-by-step explanation: hope it helps :)
Answer:665,830 my answer
Step-by-step explanation:
so. what have you got so far?
How can a digit have no value?
If one piece of furniture was sold every 3/4 hour, how many pieces of furniture are sold in 3 hours
Answer:
Two pieces of furniture.
Step-by-step explanation:
3 hours times 1 piece of furniture every 3/4 hours:
3 · [tex]\frac{3}{4}[/tex] = [tex]\frac{3*3}{4}[/tex] = [tex]\frac{9}{4}[/tex] = 2.25
Assuming that pieces of furniture cannot be sold in parts, 2 whole pieces of furniture will be sold in 3 hours.
(25)2
(
2
5
)
2
× 100 ÷ 23
2
3
+ [24 ÷ (13 – 5)] = 14
8 divided by 2/3+2 = 14
Answer:
4 better explanation inbox
Step-by-step explanation:
What is the m 2x-3=5x-12
Answer:
15 is the answer
Step-by-step explanation:
If it was designed as an alternate angle, then it would 63 degrees
PLEASE HELP ME I NEED THIS DONE RIGHT NOW
I know it says the answers are on the back but the answers aren’t there!!
Find the perimeter. Simplify your answer.
7y+10+7y+10+y-4
14y+20+y-4
15y+20-4
15y+16
answer= 15y+16
Answer:
7y+10+7y+10+y-4=
(7y+7y+y)+(10+10-4)=
15y+16=
may someone please help me solve the inequality
-4 (x - 2) + 5 < 9
Answer:
[tex]\huge\boxed{x > 1}[/tex]
Step-by-step explanation:
-4(x - 2) + 5 < 9
Subtract 5.
-4(x - 2) < 4
Divide by -4 (Flip the sign when dividing by a negative number).
x - 2 > -1
Add 2.
x > 1
Hope it helps :) and let me know if you want me to elaborate.
Answer:
x>1
Step-by-step explanation:
I had that same question hope that helped
Pls hurry on a test
Answer:
B
Step-by-step explanation:
Meet at the middle of the two lines
Answer:
pretty sure it's c
Step-by-step explanation:
when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2
Please help me!!
Find the absoutle value
7) /-5.5/
9) /14 1/3/ *1/3 is a fraction next to the the whole number 14*
6) /5 3/4 *3/4 is a fraction next to the whole number 5*
10) /-7.75/
14) 135.41
PLS WILL MARK BRAINLIST
How many times does 65 go into 468?
Answer:
7 whole times, 7.2 decimal times
Step-by-step explanation:
Divide the numbers
Paula wants to divide 480 tomatoes
equally among 80 baskets. How many
tomatoes will Paula put in each basket?
Answer:
6 tomatoes
Step-by-step explanation:
480/80=6
Answer:
6 tomatoes
Step-by-step explanation:
480 ÷ 80
=> 6 tomatoes
Hoped this helped.
4d=12 solve for the variable
4. Find a polynomial function of degree 3 with the given zeros. Write your answer in the form:
Ax) = ax + bx² + cx+d
x= -2, x=-1, x=2
Answer:
I'm assuming the equation "Ax) = ax + bx² + cx+d" is really meant to read:
A(x) = ax^3 + bx² + cx+d
A(x) = x^3 + x^2 -4x -4
Step-by-step explanation:
(x+2)*(x+1)*(x-2) [This reflect the fact that x= -2, x=-1, x=2 all result in a zero]
Multiply this out to get A(x) = x^3 + x^2 -4x -4
fill in the missing terms and identify whether it is arithmetic, geometric, or fibonacci,
Answer:
hello are you a Latina hola como estas soy niña
For a school fund raising project, Aiden and Jacob collected money in the ratio 3.5;6.8. Jacob collected $115.50 more than Aiden. Find the total amount of money they collected
Answer:
Step-by-step explanation: