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:
(8, 15]
Step-by-step explanation:
If ∠A is bigger than 90 then that means 12x-6 > 90
12x > 96
x > 8
and we know that the angle must be between 0 and 180. so 12x < 186
x <= 15
Answer:
Surface Area of the Cylinder is 1156.11
Step-by-step explanation:
To find the Surface Area of a Cylinder, the equation given is A = 2πrh+2πr2
Given the radius and height of the cylinder, we plug those numbers into the equation to get;
A = 2π(8)(15)+2π(8)2
= 1156.11
Let's solve for a.<span>y=<span><span><span>1x</span>−a</span>+b</span></span>Step 1: Multiply both sides by x.<span><span>xy</span>=<span><span><span>−<span>ax</span></span>+<span>bx</span></span>+1</span></span>Step 2: Flip the equation.<span><span><span><span>−<span>ax</span></span>+<span>bx</span></span>+1</span>=<span>xy</span></span>Step 3: Add -1 to both sides.<span><span><span><span><span>−<span>ax</span></span>+<span>bx</span></span>+1</span>+<span>−1</span></span>=<span><span>xy</span>+<span>−1</span></span></span><span><span><span>−<span>ax</span></span>+<span>bx</span></span>=<span><span>xy</span>−1</span></span>Step 4: Add -bx to both sides.<span><span><span><span>−<span>ax</span></span>+<span>bx</span></span>+<span>−<span>bx</span></span></span>=<span><span><span>xy</span>−1</span>+<span>−<span>bx</span></span></span></span><span><span>−<span>ax</span></span>=<span><span><span>−<span>bx</span></span>+<span>xy</span></span>−1</span></span>Step 5: Divide both sides by -x.<span><span><span>−<span>ax</span></span><span>−x</span></span>=<span><span><span><span>−<span>bx</span></span>+<span>xy</span></span>−1</span><span>−x</span></span></span><span>a=<span><span><span><span>bx</span>−<span>xy</span></span>+1</span>x</span></span>Answer:<span>a=<span><span><span><span>bx</span>−<span>xy</span></span>+1</span><span>x</span></span></span>
Answer:
<h2>The Yangtze River</h2>
<em>Hope that helps! :)</em>
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<em>-Aphrodite</em>
Step-by-step explanation:
