MATHEMATICS HIGH SCHOOL

What is the slope of the equation for y=9-1.5x

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Answer 1
Answer: The\ slope-intercept\ formula:y=mx+b\n\nm\to the\ slope\nb\to\ y-intercept\n------------------\n\ny=9-1.5x\ny=-1.5x+9\n\n\boxed{The\ slope\ m=-1.5}
Answer 2
Answer: This is called slope-intercept form. It is when a linear equation is written y=mx+b.
The m is the slope (rise over run or rate of change) and the b is the y-intercept (where this line crosses the y-axis).
So Think of rewriting this equation as:
y=-1.5x+9
Looks like y=mx+b doesn't it.
This means -1.5=m and thus the slope is -1.5.

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Applying division signal rules, from the graphs of both functions, it is found that the solution of the inequality is:

x \in [-3,-1) \cup [2,4)

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A fraction, which represents a division, is negative if the numerator and the denominator have different signals. Thus, to solve this inequality, we have to study the signals of the numerator and the denominator.

The numerator is: f(x) = x^2 + x - 6

  • It is the first graph appended at the end of this answer.
  • From the graph, we have that it is negative or zero on [-3,2], and positive on the rest of the interval.

The denominator is: g(x) = x^2 - 3x - 4

  • It is the second graph appended at the end of this answer.
  • The denominator cannot be zero, so we consider only the interval (-1,4), in which it is negative.

  • Numerator positive, denominator negative: On interval [2,4).
  • Denominator positive, numerator negative. On interval [-3,-1).

Thus, the solution is:

x \in [-3,-1) \cup [2,4)

A similar problem is given at brainly.com/question/14361489

Answer:

x ∈ [-3;-1) ∪ [2;4)

Step-by-step explanation:

(x^(2)+x-6 )/(x^(2)-3x-4 )\leq 0\n=> ((x-2)(x+3))/((x+1)(x-4)) \leq 0\n

we have this board:

x                          -3                    -1                      2                     4          

x - 2          -                        -                    -           0        +                     +

x+3            -         0           +                   +                      +                     +

x+1             -                      -            0      +                      +                     +

x-4            -                        -                     -                     -            0      +

((x-2)(x+3))/((x+1)(x-4))   +          0          -             ||        +         0        -            ||        +

from the board

=>    x ∈ [-3;-1) ∪ [2;4)

The seven digit number 2,A5A,576 is divisible by 24. What is the sum of all the possible digits of A?

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