Simplify 3(x-4)+8(x+2)

Answers

Answer 1
Answer: 3(x - 4) + 8(x + 2)

3*x - 3*4 + 8*x + 8*2

3x - 12 + 8x + 16

3x + 8x - 12 + 16

11x + 16 - 12

11x + 4
Answer 2
Answer: The answer is this 11x+4

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Solve for x.

25x=65


1225

125

3

6

Answers

Option C is the correct answer.

Step-by-step explanation:

We need to find 25 x = 65

Dividing both sides by 25

We will get

                25x=65\n\n(25x)/(25)=(65)/(25)\n\nx=(13* 5)/(5* 5)\n\nx=(13)/(5)\n\nx=2.6\n\nx\approx 3

Option C is the correct answer.

The calculated value of x in the equation 2/5x = 6/5 is (c) 3

How to calculate the value of x in the equation

From the question, we have the following parameters that can be used in our computation:

2/5x = 6/5

Divide through the equation by 2/5

So, we have the following representation

(2x/5)/(2/5) = (6/5)/(2/5)

Evaluate the quotient on the right hand side

(2x/5)/(2/5) = 3

Lastly, we have

x = 3

Hence, the value of x in the equtaion is x = 3

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Classify the following as rational or irrational: a) -1/5

Answers

Answer:irrational

Step-by-step explanation:its a negative fraction

What is the factored form of the polynomial?x2 + 9x +20

(x − 4)(x − 5)
(x − 2)(x − 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

Answers

The factored form of the polynomial x² + 9x + 20 is ( x + 4 ) ( x + 5 )

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

Given :

x^2 + 9x + 20

To factor this form, we first look for the following operations:

_ + _ = 9

_ × _ = 20

To fill in the blanks, the matching numbers are :

4 + 5 = 9

4 × 5 = 20

Next, the above equation can be factorized into:

x^2 + 9x + 20

x^2 + 4x + 5x + 20

(x^2 + 4x) + (5x + 20)

x(x + 4) + 5(x + 4)

\large {\boxed {(x + 4)(x + 5)} }

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

Answer:

(C)(x + 4)(x + 5)

Step-by-step explanation:

The given equation in the form of polynomial is:

x^2+9x+20

Factorizing the above given equation, we get

x^2+5x+4x+20

x(x+5)+4(x+5)

Taking x+5 common, we have

(x+4)(x+5)

which is the required factorised form.

Therefore the factors of the given polynomial are (x+4)(x+5).

Thus, Option (C) is correct.

A single-cell amoeba doubles every 3 days. how long would it take on amoeba to produce a population of about 10,000 amoebae?

Answers

2^n=10,000
2^14=10,000
d=3n
d=3(14)
d=42

d=days
n=number of times of reproduction

Final answer:

It would take approximately 30 days for a single-cell amoeba to produce a population of about 10,000 amoebae.

Explanation:

To find out how long it would take for a single-cell amoeba to produce a population of about 10,000 amoebae, we need to calculate the number of times the amoeba doubles. Since the amoeba doubles every 3 days, we can find out the number of doubling periods it would take to reach 10,000 amoebae by dividing 10,000 by 2. This equals approximately 9.965, which means the amoeba would need to double about 9.965 times. Since we can't have a fraction of a doubling period, we can round it up to 10.

Each doubling period is 3 days, so to find out how long it would take, we can multiply the number of doubling periods (10) by the time interval for each doubling period (3 days). 10 x 3 = 30. Therefore, it would take approximately 30 days for a single-cell amoeba to produce a population of about 10,000 amoebae.

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Need help with number 5 please and thank you

Answers

Answer:

The slope of f(x) is greater than g(x)

Step-by-step explanation:

So you are given the slope of f(x), this slope can be seen as (-1)/(2)

The slope of g(x) is -3, which looks like (-3)/(1)

(-1)/(2) is greater than -3

Percy paid $24.10 for a basketball the price of the basketball was $22.99 what was the sales tax rate

Answers

To find the sales tax rate, you need to find what percentage of the base price the difference in cost is.

First, subtract 22.99 from 24.10:

24.1-22.99=1.11

Now, divide 1.11 by 22.99:

1.11/22.99=0.0483

Multiply 0.0483 by 100 to convert the decimal to a percentage:

0.0483*100=4.83

The sales tax rate was 4.83%.

Hope this helps!!