The solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
<h3>Inequality expression</h3>
Inequalities are equations that are separated by an equal sign. Given the inequality expression
3(8 – 4x) < 6(x – 5)
Expand
3(8) - 3(4x) < 6x - 6(5)
24 - 12x < 6x - 30
Collect the like terms
-12x - 6x < -30 - 24
-18x < -54
x > 3
Hence the solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
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Our number system is in base 10. The ones place holds digits 0 - 9. When you reach 10, you must add another place value (the tens place).
Base 3 is digits 0-2 becasue when you reach 3, you need to add another place value.
Therefore, the smallest number is 0 and the largest number is 2.
Answer: smallest = 0, largest = 2
Answer:
x = 21/2
y = -19/2
Step-by-step explanation:
5x - 17 = 4y + 7x
5x - 7x - 4y = 17
-2x - 4y = 17
6x + 8y = - 13
-2x - 4y = 17 | ×2 |
6x + 8y = - 13 | ×1 |
-4x - 8y = 34
6x + 8y = - 13
___________+
2x = 21
x = 21/2
-2x - 4y = 17
-2(21/2) - 4y = 17
-21 - 4y = 17
-4y = 17 + 21
-4y = 38
y = -38/4
y = -19/2
The slope of the line will be equal to 30.
Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.
According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).
Now, the slope can be calculated as
m = (60 - 0)/(2 - 0)
=> m = 60/2
=> m = 30 which is the required slope.
Learn more about Slope at:
brainly.com/question/6531433
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