<span><span><span><span>2<span>y2</span></span>+y</span>−10</span>=0</span>Step 1: Factor left side of equation.<span><span><span>(<span><span>2y</span>+5</span>)</span><span>(<span>y−2</span>)</span></span>=0</span>Step 2: Set factors equal to 0.<span><span><span><span>2y</span>+5</span>=<span><span><span>0<span> or </span></span>y</span>−2</span></span>=0</span><span><span>y=<span><span><span><span>−5</span>2</span><span> or </span></span>y</span></span>=2</span>Answer:<span><span>y=<span><span><span><span>−5</span>2</span><span> or </span></span>y</span></span>=<span>2</span></span>
Answer: a. This option is correct
b. This will be true only if we take the mode as the best representative value
c. This is a not correct choice
d. This option is correct
Step-by-step explanation: Took the test on USATest Prep
B. By solving for x, you get x=8.39,x=-2.39.
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )b ) f ` ( x ) =
=
( 2 x³ - 16 x ) / √(x^4 - 16 x²)c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34
