Answer:
Did you ever figure out the answer to this question? And if so, did you figure out how to solve it.
Step-by-step explanation:
Sent a picture of the solution to the problem (s).
Answer:
Step-by-step explanation:
From the question, we are given;
- The equation y = 3x + 2
- A point (-1, -2)
We are required to determine the equation of a line parallel to the given line and passing through the point (-1, -2)
- We are going to determine the gradient of the line first; when an equation is written in the form of y = mx + c, where m is the gradient.
y = 3x + 2, m₁ = 3
- But, m₁ = m₂ for parallel lines
- Therefore, the gradient of the line in question, m₂ is 3
- With the gradient, m₂=3 , and a point (-1, -2) we can get its equation;
Taking another point (x, y)...
Then;
Therefore; the equation of the line is
Answer: C) Sometimes positive; sometimes negative
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Explanation:
Pick a value between x = -1 and x = 0. Let's say we go for x = -0.5
Plug this into f(x)
f(x) = x(x+3)(x+1)(x-4)
f(-0.5) = -0.5(-0.5+3)(-0.5+1)(-0.5-4)
f(-0.5) = -0.5(2.5)(0.5)(-4.5)
f(-0.5) = 2.8125
We get a positive value.
This shows that f(x) is positive on the region of -1 < x < 0
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Now pick a value between x = 0 and x = 4. I'll use x = 1
f(x) = x(x+3)(x+1)(x-4)
f(1) = 1(1+3)(1+1)(1-4)
f(1) = 1(4)(2)(-3)
f(1) = -24
Therefore, f(x) is negative on the interval 0 < x < 4
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In short, f(x) is both positive and negative on the interval -1 < x < 4
It's positive when -1 < x < 0
And it's negative when 0 < x < 4
136 - 56 = 80 songs kept
Ratio of songs kept to songs deleted is:
80:56
Simplify by dividing each number by 8:
The simplest form is: 10/7
