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3 years ago

Evaluate the expression solve for k = -3.4 write answer as a decimal or whole number 7k/10

Mathematics

1 answer:

Sauron [17]3 years ago

6 0

-2.38 is the answer because 7x-3.4=x/10=-2.38

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May I know the values of x and y of the following equation?<br>(5-3i)(x-yi) = 3(x+2yi)+1-2i

gogolik [260]

Answer:

(x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

<h3>simplify</h3>

(5 -3i)(x -yi) = 3(x +2yi) +1 -2i

5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

(5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

<h3>equate real, imaginary parts</h3>

This resolves to the two equations ...

5x -3y = 3x +1
-5y -3x = 6y -2

<h3>solve the system</h3>

Putting these equations into general form gives ...

2x -3y -1 = 0

3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

(x, y) = (17/31, 1/31)

_____

You can read more about the cross multiplication method here.

brainly.com/question/26397343

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2 years ago

Given f(x) = 3x2 + kx + 19, and the remainder when

AfilCa [17]

Answer:

$f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3$

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Step-by-step explanation:

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Answer:

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2 years ago

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THIS IS 61 POINTS. Find the first three terms of the sequence described by the following recursive formula: an = 3an – 1 + 2 whe

mestny [16]

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula

$a_{n}$ = 3 $a_{n-1}$ + 2 and a₄ = 20

Then working in reverse

3a₃ + 2 = 20 ( subtract 2 from both sides )

3a₃ = 18 ( divide both sides by 3 )

a₃ = 6

3a₂ + 2 = 6 ( subtract 2 from both sides )

3a₂ = 4 ( divide both sides by 3 )

a₂ = $\frac{4}{3}$

3a₁ + 2 = $\frac{4}{3}$ ( subtract 2 from both sides )

3a₁ = - $\frac{2}{3}$ ( divide both sides by 3 )

a₁ = - $\frac{2}{9}$

Hence

a₁ = - $\frac{2}{9}$

a₂ = $\frac{4}{3}$

a₃ = 6

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2 years ago

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