Mpuy each expression. 1) (5p2 – 3) + (2p2 – 3p3)
1 answer:
You might be interested in
Answer:
Part 1) The graph has three (3) x-intercepts and has one (1) y-intercept
Part 2) The y-value of the minimum point is -3
Part 3) f(4)=3
Part 4) f(0)=3
Part 5) f(5)=1.5
Part 6) x=-6
Part 7) The horizontal line y=-1 intersects the graph three times
Part 8) The value of the function for f(6) is equal to zero
Part 9) The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)
Part 10) The function is positive on the interval (-3,6) and (10,11) and is negative on the interval (-6,-3) and (6,10)
Step-by-step explanation:
Part 1) Find the number of x-intercepts and y-intercepts of the graph
we know that
The<u> x-intercepts</u> are the values of x when the value of y (the function) is equal to zero
Look at the graph
The graph has 3 x-intercepts
The x-intercepts are the points (-3,0), (6,0) and (10,0)
The<u> y-intercepts</u> are the values of y when the value of x is equal to zero
Look at the graph
The graph has 1 y-intercept
The y-intercept is the point (0,3)
Part 2) The y value of the minimum point on the graph is?
we know that
Look at the picture
The minimum point is (-6,-3)
therefore
The y-value of the minimum point is -3
Part 3) f(4) is equal to?
we know that
f(4) is the value of the function when the value of x is equal to 4
Look at the graph
For x=4
The value of the function is equal to y=3
therefore
f(4)=3
Part 4) f(0) is equal to?
we know that
f(0) is the value of the function when the value of x is equal to 0
Look at the graph
For x=0
The value of the function is equal to y=3
therefore
f(0)=3
Part 5) f(5) is equal to?
we know that
f(5) is the value of the function when the value of x is equal to 5
Look at the graph
For x=5
The value of the function is about y=1.5 (see the attached figure)
therefore
f(5)=1.5
Part 6) The value of x when f(x)= -3 is?
Look at the graph
we have the point (-6,-3)
when the value of f(x)=-3
the value of x is equal to x=-6
Part 7) The horizontal line y = -1 intersects the graph _____ times?
Look at the graph
The horizontal line y=-1 intersects the graph three times (see the attached figure)
Part 8) f(6) is positive or negative?
Look at the graph
we have the point (6,0)
For x=6
The value of the function is equal to zero
Part 9) Is the graph increasing or decreasing on the interval -6?
Look at the graph
The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)
Part 10) Is the graph positive or negative on the interval 6
Look at the graph
The function is positive (f(x) > 0) on the interval (-3,6) and (10,11) and is negative (f(x) < 0) on the interval (-6,-3) and (6,10)
Answer and explanation:
Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :
Strength Strength
High Low
High conductivity 74 8
Low conductivity 15 3
To find :
a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high
The favorable outcome is 74
The probability is given by,
b) If a stand is randomly selected, the probability that its conductivity is low or strength is low
Conductivity is low A= 15+3=18
Strength is low B= 8+3=11
Conductivity is low and strength is low
Probability is given by,
c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?
Since the events the stand has low conductivity and the stand has low strength are not mutually exclusive, since there exists some cases in which both the events coincide. i.e. Intersection of both the events exists with probability 0.03.