Step-by-step explanation:
When the slope of the function is positive, it is increasing
when the slope of the function is negative, it is decreasing
just like with the line function y = mx + b
so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function
also beware where the slope is zero it is not increasing or decreasing
there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing
increasing interval 1) x < -2 2) x > 1.5
decreasing interval 1) -2 < x < 1.5
at -2 and 1.5 the slope is zero
Answer:
m < 3
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
One added to the quotient of m and 3 is less than 2
(m/3) + 1 < 2
<u>Step 2: Subtract 1 from both sides</u>
(m/3) + 1 - 1 < 2 - 1
(m/3) < 1
<u>Step 3: Multiply both sides by 3</u>
(m/3) * 3 < 1 * 3
<em>m < 3</em>
<em />
Answer: m < 3
Answer:
1. y=3x+2
It has a gradient of 3, and crosses the y-axis at 2
2.y= -1x +4
It is -1x, because of a negative slope
Step-by-step explanation:
If it was 25%, it would be a 90 degree angle. So we can calculate this using a proportion. 25/90 = 24/x. Cross multiply to get 25x = 2160. When you divide by 25 on both sides you get 86.4. So the angle should be 86 degrees. Hope this helps.
Answer:
475 km
Step-by-step explanation:
(40 + 45 + 50 + 35 + 55 km + 50 *5 km)