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3 years ago

Which expression is equivalent to the given expression. -2x + 8x-9+4x+7x+2

Mathematics

1 answer:

Alinara [238K]3 years ago

5 0

Answer:

17x - 7

Step-by-step explanation:

-2x + 8x - 9 + 4x + 7x + 2

6x - 9 + 4x + 7x + 2

6x - 9 + 11x + 2

17x - 9 + 2

17x - 7

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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)

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

7 0

3 years ago

Suppose f varies directly as g, and f varies inversely as h. Find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. R

kow [346]

Answer:

-480

Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

$f=\frac{kg}{h}$ , where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

$-7=\frac{k(56)}{-2}$

$-7\times -2=56k$

$k=\frac{14}{56}=\frac{1}{4}$

The equation now becomes:

$f=\frac{g}{4h}$

if f=10 and h=-12, then;

$10=\frac{g}{-48}$

$g=-48\times 10=-480$

The correct answer is B.

4 0

3 years ago

8=4w/3, if using this expression what is w equal to?

pogonyaev

8 = 4w/3 Original Problem.
4w/3 = 8 Flip Flopped the problem around.
4w = 24 Multiplied each side by 3.
w = 6 Divided each side by 4.

Answer: w = 6

8 0

4 years ago

Read 2 more answers

The average price of a gallon of milk is $3.31. If the price increases .88% each year , how much will a gallon of milk cost in 2

musickatia [10]

Answer:

$3.94

Step-by-step explanation:

You will need to use the compound interest formula for this.

$P(1+\frac{r}{n} )^{nt}$