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max2010maxim [7]
3 years ago
15

Syma will spend more than $32 on gifts. So far, she has spent $15 . What are the possible additional amounts she will spend? Use

cfor the additional amount (in dollars) Syma will spend. Write your answer as an inequality and solved for c.
Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Answer:

Step-by-step explanation:

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Let v⃗ 1=⎡⎣⎢033⎤⎦⎥,v⃗ 2=⎡⎣⎢1−10⎤⎦⎥,v⃗ 3=⎡⎣⎢30−3⎤⎦⎥ be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−1, λ2
kaheart [24]

Answer:

- x as a linear combination :

x = -1 v1+ 0 v2+ 1 v3.

- Transpose Ax = (12, -6, -6)

Step-by-step explanation:

Given v1 = (0 3 3),v2 = (1 −1 0), v3 = (3 0 −3) be eigenvectors of the matrix A which correspond to the eigenvalues λ1 = −1, λ2 = 0, and λ3 = 1, respectively, and let x = (−2 −4 0). Express x as a linear combination of v1, v2, and v3, and find Ax .

To write x as a linear combination of v1, v2, and v3

x = -1 v1+ 0 v2+ 1 v3.

To find Ax

Write A = (0 ......3 ......3 )

...................(1 ......-1 ......0)

...................(3 ......0......-3)

Since transpose x = (-2, 4, 0)

Ax =......... (0 ......3......3 )(-2)

...................(1 ......-1 ......0)(4)

...................(3 ......0......-3)(0)

= (0×-2 + 3×4 + 3×0)

...(1×-2 + -1×4 + 0×0)

.. (3×-2 + 0×4 + -3×0)

As = (12)

....(-6)

....(-6)

Transpose Ax = (12, -6, -6)

7 0
3 years ago
the vertex of this parabola is at (5,5). when the x-value is 6, the y-value is -1. what is the coefficient of the squared in the
zlopas [31]

Answer: OPTION D.

Step-by-step explanation:

The vertex form of a quadratic function is:

y= a(x - h)^2 + k

Where (h, k) is the vertex of the parabola and "a" is the coefficient of the squared in the parabola's equation.

We know that the vertex of this parabola is at (5,5) and we also know that when the x-value is 6, the y-value is -1.

Then  we can substitute values into  f (x) = a(x - h)^2 + k and solve for "a". This is:

-1= a(6- 5)^2 + 5\\\\-1=a+5\\\\-1-5=a\\\\a=-6

7 0
3 years ago
A boy has as many sisters as brothers, but each sister has only half as many sisters as brothers. How many brothers and sisters
Elenna [48]
The boy would have 3 brothers and 3 sisters therefore in the family there would be 4 boys and 3 girls
7 0
3 years ago
What percent is represented by the shaded area?
Eduardwww [97]

Answer:

152%

Step-by-step explanation:

hope this helps!

please mark me as brainliest! thanks!

6 0
3 years ago
Edona has 84 ants in her ant garden. She wants to put them into one or more equal-sized groups so she can share her favorite ins
Aliun [14]
Answer:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
7 0
2 years ago
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