Three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1. what is the number?

Answers

Answer 1

Answer: Let the number be y;
3+8y=3(2y-1)
8y+3=6y-3
Putting like terms together;
8y-6y=-3-3
2y=-6
y=-3
The number is -3

Answer 2

Answer:

Answer: The required number is -3.

Step-by-step explanation: Given that three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1.

We are to find the number.

Let x represents the given number.

Then, according to the given information, we have

$8x+3=3(2x-1)\n\n\Rightarrow 8x+3=6x-3\n\n\Rightarrow 8x-6x=-3-3\n\n\Rightarrow 2x=-6\n\n\Rightarrow x=-(6)/(2)\n\n\Rightarrow x=-3.$

Thus, the required number is -3.

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cm 3
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Answers

Answer: A. cm

Step-by-step explanation: The formula for the volume of a hexagonal prism is, volume = [(3√3)/2]a2h cubic units where a is the base length and h is the height of the prism. We can also use the other formula V = 3abh, where a = apothem length, b = length of a side of the base, and h = height of the prism.

no aswer for that question

What is the average rate of change of h over the interval 5 ≤ t ≤ 9 ?

Answers

Answer:

5 because its greatest

Answer:

8!-4!

6!+6?+72817#8288288#+287228282272777337

What other information do you need to prove triangle GHK is congruent to triangle KLG by SAS

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Which numbers belong to the solution set of inequality 9x>117

Answers

Hello Nancy

9x>117

Divide both sides by 9

9x/9>117/9

x>13

I hope that's help:0

1. Simplify the expression.(6+6i)-(2+i)

2. Simplify the expression.
(8+i)(2+7i)

3. Find the conjugate of the complex number 8+12i
A. 96
B. 8-`1i
C. -96i
D. 20

4. Use the complex conjugate to find the absolute value of 8+12i
A. 12
B. square root of 208
C. square root of 84
D. 8

Answers

The correct answers are:

(1) 4+5i

(2) 9+58i

(3) 8 - 12i (Option B; The question's options have a typo)

(4) Square root of 208 (Option B).

Explanations:

(1) Given: (6+6i)-(2+i)

We need to simplify the given expression. For that, add real parts with each other, and add imaginary parts of the complex numbers with each other. Remember that the numbers with the symbol "i" are the imaginary parts of the complex number. Therefore,

(6-2) + (6i - i) = 4 + 5i (ans)

(2) Given: (8+i)(2+7i)

Now in this case we will multiply two complex numbers with each other; here in this case, we have to remember that $i^2 = -1$ . Now let us find out the multiplication of two complex numbers:

(8+i)(2+7i)

8(2+7i) + i(2+7i)

$16+56i+2i+ 7i^2$

16 + 58i + 7(-1)

= 9 + 58i

Hence the correct answer is 9+58i.

(3) Given: 8+12i

In simple terms, in order to find the conjugate of the complex number, we take the real number of the complex number as is, but we change the sign of the imaginary part of the complex number. In the given expression, 8 is the real number; hence, we will take it as is, whereas, +12i is the imaginary part of 8+12i. So to find the conjugate, we will change +12i to -12i.

Therefore, the conjugate of the complex number will become 8 - 12i (Option B; The question's options have a typo).

(4) Given: 8+12i

First, we need to find the complex conjugate of the given complex number. Please see the explanation given in Part (3) above to find the complex conjugate. The complex conjugate of 8+12i is 8-12i

Now, to find the absolute value of the complex conjugate 8-12i, follow these steps:

|8-12i|

We will add the square of the real number (8) with the square of the imaginary number (-12) and take the square-root at the end to find the absolute value:

$√((8)^2 + (-12)^2) \n √(64 + (144)) \n √(208)$

Hence the correct answer is square root of 208 (Option B).

1. 4 + 5i
2. 9 - 58i
3. tbh idek
4. /sqrt{208}

1Solve this quadratic using two different
methods. Show both methods.
x2 + 4x - 5 = 0

Answers

Answer:

x = -5 or x = 1

Step-by-step explanation:

$x^(2) + 4x - 5 = 0\n(x+5)(x-1)=0\n$

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