(B) –9 < x – 4 < 9 inequality is equivalent to Ix-4I <9.
<h3>
What is inequality?</h3>
- Inequality is a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than, or equal to, less than, or less than or equal to).
- Inequality is defined as a difference in size, amount, quality, social position, or another factor.
- Inequality occurs when you have ten of something and someone else has none.
- (mathematics) A statement stating that one quantity is less than (greater than) another.
So, Ix-4I <9:
- |x-4|<9 ⇒ -9 < x-4 < 9
- -5 < x < 13
Therefore, (B) –9 < x – 4 < 9 inequality is equivalent.
Know more about inequality here:
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The complete question is given below:
Which inequality is equivalent to I x-4 I <9?
A –9 > x – 4 < 9
B –9 < x – 4 < 9
C x – 4 < –9 or x – 4 < 9
D x – 4 > –9 or x – 4 < 9
Answer:
y = (1/5)x² or y = x²/5
Step-by-step explanation:
We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...
y = ax²
We know that when x = 5, y = 5, so we have
5 = a(5²) now simplify...
5 = 25a
5/25 = a
1/5 = a, so our equation becomes
(1/5)x² or x²/5 (the expressions are equal)
Easily done! Just do -56 divided by -7 but just remember two negatives equal a positive. So your answer would be 8!
The equation that pases through these sets of points would be
y = 2x + 3
The slope of the equation is 2, and the y-intercept is 3.
30% = 0.30
100 - 100(0.30) = 70
20% = 0.20
70 - 70(0.20) = 56
the answer is c