An equation that represents the minimum and maximum scores is; |x - 82| = 3.2.
<h3>How to write an absolute value equation?</h3>
The absolute value function is defined by:
f(x) = x, x ≥ 0.
f(x) = x, x < 0.
It measures the distance of a point x to the origin.
For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:
|x - 82| = 3.2.
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Answer: $6.24
Step-by-step explanation:
41.63-4.19= 37.44
37.44/6=6.24
Answer:
x=1
Step-by-step explanation:
x = -4 + 6 + (11 + 4(-3)).
First get the numbers in the parentheses
x = -4 + 6 + (11 - 12)
Since 11 - 12 = -1. We can replace (11-12) with -1
x = -4 + 6 -1
Now add and subtract
x = 1
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± = ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )