68,246 inches of road had been repaved before today.
Step-by-step explanation:
Given,
Length of road repaved so far = 97338 inches
Length repaved today = 29092 inches
Length repaved before today = Total length repaved - Length repaved today
Length repaved before today = 97338 - 29092
Length repaved before today = 68246 inches
68,246 inches of road had been repaved before today.
Keywords: subtraction
Learn more about subtraction at:
#LearnwithBrainly
Horizontal tangents are such that d<em>y</em>/d<em>x</em> = 0; this happens when
(<em>y</em> - 3) / (<em>x</em> - 3) = 0 → <em>y</em> - 3 = 0 → <em>y</em> = 3
so (I) is true.
Vertical tangents are such that their slope is undefined; this happens when the denominator vanishes, or
<em>x</em> - 3 = 0 → <em>x</em> = 3
so you are right that (II) is not true.
To assess whether (III) is correct, consider what happens at different nearby points (with neither <em>x</em> = 3 nor <em>y</em> = 3) where the <em>y</em> coordinate is kept the same so that the tangent lines occur in the same row. For example,
<em>x</em> = 0, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (-3)/(-3) = 1
<em>x</em> = 1, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (1 - 3)/(-3) = 2/3
<em>x</em> = 2, <em>y</em> = 0 → d<em>y</em>/d<em>x</em> = (2 - 3)/(-3) = 1/3
The slopes are not the same - they have to be if these tangents are supposed to be parallel - so (III) is not true.
This makes A. (I) only the correct choice.
Answer:
D the majority of the data values fall in the upper quartile for both sets of data
2(-4)2=-16
-2(2)4=-16
(3)2=6
-(-4)2=8
(2)4=8
8+8=16+6=22-16=6-16=-10
-10 is the final answer.