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The greatest number of fruit baskets they can make is 2 with each one having 44 peaches, 30 bananas and 27 kiwis
<h3><u>Solution:</u></h3>Jim’s fruit basket has 88 peaches, 60 bananas and 54 Kiwis to use.
If each basket have same number of each type, we have to determine the greatest number of fruit baskets they can make
We need to find greatest common factor of 88, 60 and 54
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
<em><u>Greatest common factor of 88, 60 and 54:</u></em>
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88
Then the greatest common factor is 2
On dividing the number of fruits by 2 we get
Hence, there can be 2 basket with each one having 44 peaches, 30 bananas and 27 kiwis
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)
