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3 years ago

Is b a linear combination of a1, a2, and a3?

1 answer:

3 0

A1 = (1, -2 , 0) ; a2 = (0,1,2) ; a3 = (5,-6,8) ; b = (2,-1,6)

2*a1 = (2, -4,0)
3*a2 = (0, 3, 6)
-------------------
sum = (2, -1, 6) = b

Hope this helps

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Solve 5x^2 − 3x + 17 = 9.

Vedmedyk [2.9K]

Answer:

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

Step-by-step explanation:

To solve:

5x² − 3x + 17 = 9

⇒ 5x² − 3x + 17 - 9 = 0

⇒ 5x² − 3x + 8 = 0

Now,

the roots of the equation in the form ax² + bx + c = 0 is given as:

x = $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

in the above given equation

a = 5

b = -3

c = 8

therefore,

x = $\frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}$

x = $\frac{3\pm\sqrt{9-160}}{10}$

x = $\frac{3+\sqrt{-151}}{10}$ and x = $\frac{3-\sqrt{-151}}{10}$

x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

here i = √(-1)

Hence,

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

7 0

3 years ago

You put $1300 in an account that earns 3% simple interest. Find total amount in the account after four years

natka813 [3]

after 4 years there would be $156 added, so it would be $1456

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4 years ago

I need workings for depreciation done in a table for each vehicle and each year. I need a vehicles account, a provision for depr

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Is there any guide or institutions on how to do it?

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3 years ago

Given the function: f(x) = 7x - 8

boyakko [2]

A) -22
b) 62
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hope this helps

5 0

3 years ago

Read 2 more answers

What the answer to this

GenaCL600 [577]

Answer:

for which

Step-by-step explanation:

3 0

3 years ago