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OLEGan [10]
4 years ago
15

The difference between three times a number and four more than two times the number

Mathematics
1 answer:
Diano4ka-milaya [45]4 years ago
4 0

Answer:

SOLUTION: The difference between three times a number and nine more than two times the number. 3x - (2x+9).

Step-by-step explanation:

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The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
Wewaii [24]

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

5 0
4 years ago
A farmer ordered 3/4 ton of soil. He wants to divide it evenly into 8 flower beds. How much will he have for each bed?
Anna71 [15]

Answer:

3/32 tons

Step-by-step explanation:

3/4 divided by 8

3/4 divided by 8/1

3/4 times 1/8

3/32 tons per flower pot

8 0
3 years ago
Graph the following system of inequalities. y ≤ 1 3 ⁢ x − 2 x < 4
VLD [36.1K]

By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.

<h3>How to graph a system of inequalities?</h3>

An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

Given the following system of inequalities:

y ≤ 1/3x  ⇒ y - 1/3x ≤ 0

y - 2x < 4

By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

<u>Complete Question:</u>

Graph the following system of inequalities.

y ≤ 1/3x and y - 2x < 4

3 0
2 years ago
On what interval(s) is the graph decreasing? - use interval notation
Anna [14]
The function is decreasing from -6 to -3, that is, on the interval (-6,-3), and again on the interval (1, infinity).  

The function is increasing on (-3,1).

No local or absolute minimum.

(1,4) is an absolute max.
6 0
4 years ago
How many feet of fencing would a farmer need if she wanted
Sauron [17]

Answer:

Well, it's the perimeter, so...40.

You just calculate the perimeter of a rectangle with the lenght of 12 and width of 8, by the formula

P = 2L+2W

or you can factor it out.

7 0
3 years ago
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