Answer:
15.8 (15/8)
Step-by-step explanation:
First, we turn the mixed numbers into fractions by multiplying the whole number by the denominator and this answer into the numerator:
2 1/2=5/2
1 1/3=4/3
now to divide, we keep the first fraction, change the divide to a multiply, and then flip the second fraction:
5/2·3/4
Now, simply multiply:
5/2·3/4=15/8 (15.8 if you need a decimal)
And you have your answer! hope this helped!
Answer:
<u>The first option has no solution.</u>
Step-by-step explanation:
The absolute value of any number, whether it be <u>positive or negative</u>, results as positive.
With the equation listed, you CAN NOT<u> obtain a negative number </u>as your <u>result</u>, therefore this equation has NO SOLUTION.
#teamtrees #WAP (Water And Plant)
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
Answer:
The graph on the far right
Step-by-step explanation:
The negative in front of the absolute value indicates that the parent function |x| has been reflected over the x-axis and points downwards. The negative 2 being added to this portion shows that there has been a vertical shift of two units downwards as well. Therefore, the graph on the far right is the correct graph.
