8) Find the midpoint of the equation y = 4x + 6 between the x-intercepts and the y-intercepts.
1 answer:
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Answer:
(-3/4, 3)
Step-by-step explanation:
I find it easier to determine the intercepts when the equation is in standard form:
4x -y = -6
The x-intercept is found where y=0:
4x = -6 ⇒ x = -6/4 = -3/2
The y-intercept is found where x=0:
-y = -6 ⇒ y = 6
Then the midpoint is ...
M = ((-3/2, 0) +(0, 6))/2 = (-3/4, 3)
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n > -6 is the inequality for 16 plus 5 times a number is more than the number minus 8
<em><u>Solution:</u></em>
Given statement is:
16 plus 5 times a number is more than the number minus 8
We have to write a inequality
From given statement,
16 plus 5 times a number is more than the number minus 8
Let the number be "n"
Therefore,
16 plus 5 times "n" is more than "n" minus 8
Here, "plus" means addition and "minus" means subtraction and "times" means multiplication
Thus the statement is translated into inequality as:
Simplify the inequality
Thus the soultion is n > -6