Answer:
a.) f'(x) = 2x - 2
b.) horizontal tangent line at (1, 0)
c.) view image
d.) the point given, (-1, -1/2), isn't even located on the graph of f(x). Either there is a typo or the question is poorly stated.
Step-by-step explanation:
a.) You should know how to do derivative already
b.) Horizontal tangent line just mean that the slope is zero. Since a derivative is a slope, just find when the derivative is equal to 0.
c.) The function f(x) looks like a U. The only spot that has a zero slope is at the bottom of the U when the slope changes from negative to positive. Since my horizontal tangent line(where the slope is 0) is located at point (1,0), that must be where the bottom of the graph is,
d.) Poorly stated question. The point given isn't even located on the graph.
A) The attachment shows the equation of the best-fit line. It is approximately
.. test average = 89.7 -2.93*(hours playing games)
b) The slope indicates the expected drop in test score for each hour spent playing games
c) The y-intercept is the expected test score if no hours are spent playing games.
d) The correlation coefficient is -0.92, a significant negative correlation. One might expect that hours spent playing games indicates a lack of interest in school subjects or studying, hence a likelihood that test scores will be lower.
e) The equation predicts a test score of about 75 for someone who spends 5 hours a week playing video games.
X4+(95x2)-500=0
x4+(190)-500=0
x4-310=0
x4=310
x=4√(310)
x=4.196
The trigonometric function that can be used to find the value of x is 12 / tan ( 25 ) . The correct values of a and b will be 12 and 25 resp . .
Given :
A right angle triangle , one angle = 25 ° and side opposite given angle = 12 units .
Trigonometric Formula for Tan θ
tan θ = perpendicular / base , tan θ = ( sin θ / cos θ ) , tan θ = ( 1 / cot θ ) .
where θ = 25 , perpendicular = 12 , base = x .
Substituting values in above first formula ,
tan 25 = 12 / x
Therefore , x = 12 / tan ( 25 ) .
Hence , a = 12 and b = 25 .
To know more on trigonometry :
brainly.com/question/27998034
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Answer:
130 pounds is about 84% of 155
