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Serggg [28]
3 years ago
9

–12(x + 3) - 4(5 - 2x) = 20

Mathematics
2 answers:
bekas [8.4K]3 years ago
8 0
-12x -36 -20 +8x = 20
-12x + 8x = 20 + 36 + 20
-4x = 76
x = -19
12345 [234]3 years ago
7 0

Answer:

x = -19

Step-by-step explanation:

1. make parentheses disappeared using distribution law.

- 12x - 36  - 20 + 8x = 20

2. sum up b numbers and x

- 4x - 56 = 20

3. separate x and number to two sides of the equation

- 4x = 76

4. both side divided by -4

x =  - 19

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What is the area of a regular octagon with the side length 1 meter
Whitepunk [10]

Answer:

1

Step-by-step explanation:

3 0
3 years ago
__,__, 8.16,32,64 what is the arithmetic sequence?
seraphim [82]

Answer:

2,4,8,16,32,64

Step-by-step explanation:

There are a couple of ways one could approach this. The goal is to find out the factor by which the numbers are increasing. Looking at going from 8 -> 16, we have either added 8, or doubled 8. So the factor is either +8 or x2. Going from 16 -> 32, adding 8 no longer holds true, while multiplying by 2 (doubling 16) does. To confirm what we have found, we can further check our math by using the final two numbers, 32 -> 64, to confirm that the sequence pattern is to double the current number to achieve the next number.

Working backwards, we can half each number to find out the first two numbers in the sequence. 64/2 = 32, 32/2 = 16, 16/2 = 8, 8/2 = 4, 4/2 = 2

8 0
3 years ago
16. The graph of the function
den301095 [7]

\text{Hello there!}\\\\\text{Our original equation is: y = 4x + 1}\\\\\text{Our new equation must be translated 3 units up}\\\\\text{This means that we're going up on the y axis, meaning that our}\\\text{"beginning point" will change}\\\\\text{Our beginning point is 1, so just add 3 to it}\\\\1+3 = 4\\\\\text{Put 4 as your beginning point in the equation:}\\\\y=4x+4\\\\\boxed{\text{Answer: y = 4x + 4}}

8 0
3 years ago
Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.
julsineya [31]

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}

Now, we distribute the expression of f(x) and find the derivative afterwards.

f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
3 years ago
Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment
Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

P = 8000

r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0
3 years ago
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