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pentagon [3]
3 years ago
10

(2x^3+4x^2-3)+(6x^3+4x-4)​

Mathematics
2 answers:
sukhopar [10]3 years ago
8 0

Answer:

8x^3 + 4x^2 + 4x -7

Step-by-step explanation:

Add like terms.

zepelin [54]3 years ago
3 0

Answer: everything is explained in the picture

Step-by-step explanation:

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5/6k=1/6 solve for k
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5/6k = 1/6
k = 1/6 / 5/6 = 1/6 * 5/6                after you multiply your solution for K = 1/5           
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1.Monthly earnings total $4513. Find the social security tax deducted.
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1)$345.24

2)$23.70

3)$64.88



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Let $a$ and $b$ be nonzero real numbers such that
algol [13]
<h3>Answer:   -7/2</h3>

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

------------------

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0
1 year ago
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
Aneli [31]
Answer : 59.04 is the angle 
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3 years ago
Jerome tries to find the value of the expression 3 - 6 + 5 by first applying the commutative property he rewrites the expression
Lana71 [14]
  • Wrong in sign change

How?

  • In commutative law the sign doesn't change whenever it is applied.

Thus

\\ \sf{:}\implies 3-6+5

\\ \sf{:}\implies 3\underline{+5-6}

\\ \sf{:}\implies 8-6

\\ \sf{:}\implies 2

5 0
2 years ago
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