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The inequality is 9 ( t + 5 ) < 6.
In mathematics, an inequality is a relation that makes a non-same comparison between two numbers or different mathematical expressions. It is used most often to examine numbers on the quantity line by using their length.
Inequality, In mathematics, is a declaration of an order relationship—greater than, extra than or same too, much less than, or much less than or identical to—between numbers or algebraic expressions.
The definition of inequality is a difference in length, amount, exceptional, social function, or another component. An instance of inequality is if you have ten of something and a person else has none.
Let t be the number.
We know that,
The phrase "5 more than a number t" is equal to adding the number t and 5
(t+5)
The phrase "the product of 9 and the quantity 5 more than a number t" is equal to multiplying 9 by (t+5)
9(t+5)
Less represent the symbol " < ".
Therefore,
The inequality that represents this problem is 9(t+5) < 6.
Learn more about inequality here brainly.com/question/11613554
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4x - 2(0.5x-1) =14
4x - 1x +2 = 14
3x + 2 = 14
X= 4
Plug that into second equation to get y
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
Answer:
x = 6
y = -6
Step-by-step explanation:
x + y = 0 (Multiply by -1)
x + 9y= -48
-x - y = 0
x + 9y= -48
8y = -48
y = -6
x + y = 0
x - 6 = 0
x = 6
