(dy/dx) has a very similar meaning to delta(y)/delta(x), that is, the ratio of change in Y to a correspondent change in a variable X. The neat thing though, is that for (dy/dx) this analysis is made for variations of X, that is, for delta(x)'s, that are arbitrarily close to 0 (but are NOT 0) and can, therefore, offer us a rate of change in Y in face of a change in X at ANY given point of analysis, instead of an average over a time period as is the case for delta(y)/delta(x).
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Answer:</h3>
B. (5, -2)
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Step-by-step explanation:</h3>
Try the points in the inequalities and see what works. Here, we evaluate the point in the first inequality, and if that works, then the second inequality.
A. 2 ≤ -(-5) -5 . . . ⇒ . . . 2 ≤ 0 . . . false
B. -2 ≤ 5 -5 . . . true
... -2 ≥ -(5) -4 . . . true . . . . . . selection B is a viable choice
C. we know from A that the first inequality will be satisfied
... -2 ≥ -(-5) -4 . . . ⇒ . . . -2 ≥ 1 . . . false
D. 2 ≤ 5 -5 . . . . false
Answer:
1
Step-by-step explanation:
Let the number be x
x² + 2x = 3
x² + 2x - 3 = 0
Product = -3
Sum =2
Factors = 3 * (-1)
x² + 3x - x - 3 = 0
x*(x+3) - (x + 3) = 0
(x + 3)(x - 1) = 0
Ignore x + 3 because the number is a positive number
x - 1 = 0
x = 1
The number is 1
Hello!
First you have to find the rate between the amount of students surveyed by the total amount
You do this by dividing the total amount of students by the amount of students surveyed
1500 / 50 = 30
We multiply the amount of students that have a pet by this number
32 * 30 = 960
The answer is B)960
Hope this helps!
Answer:
Step-by-step explanation:
We are given the line y=2x+8. It is in slope-intercept form or y= mx+b, where m is the slope and b is the y-intercept.
The slope of the line is 2.
We want to find the equation that is perpendicular. Perpendicular lines have negative reciprocal slopes.
1. Negate
- Negate the slope, or switch the sign
- (+) 2 --> -2
2. Reciprocal
- Flip the numerator and denominator of the slope.
The perpendicular slope is -1/2, so the correct equation must be B.
