Answer:
Step-by-step explanation:
Solve the following equation for the value of q. 5 (34 – 10) – 5q = –15
2 answers:
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Answer:
1/-2 is the slope
Step-by-step explanation:
Equation of a line in slope-intercept form:
m is the slope
b is the y-intercept
As you have the slope (m= -4) and a point (6,1) you use it in the equation above to find the y-intercept, as follow:
(6,1) x=6 y=1
m= -4
Solve b:
Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
