The points that are on the linear function 2x + y = 10 are given as follows:
(5,0), (4,2), (9,-8).
<h3>How to verify if a point is on a function?</h3>To verify if a point is on a function, we replace the instances of x and y in the function by the numeric values of the points, and then an identity has to be reached to verify if the point is on the function.
For this problem, the function is given by:
2x + y = 10.
For point (5,0), we have that x = 5, y = 0, hence:
2(5) + 0 = 10
10 = 10
Hence point (5,0) is on the function.
For point (4,2), we have that x = 4, y = 2, hence:
2(4) + 2 = 10
10 = 10
Hence point (4,2) is on the function.
For point (9,-8), we have that x = 9, y = -8, hence:
2(9) - 8 = 10
10 = 10
Hence point (9,-8) is on the function.
The line is given at the graph at the end of the answer, with the points also plotted.
More can be learned about linear functions at brainly.com/question/24808124
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Let A1 = The land has oil
A2 = Land has no oil
B1 = Test Predicted that land has oil
B2 =Test Predicted that land has no oil
Required probability = P(A1/B2)
A1 and A2 are mutually exclusive and exhaustive. Hence we can use Baye theorem
P(A1/B2) = P(A1B2)/P(B2) =
Answer:
Each square should have 5 inches of side and area = 25 square inches.
Step-by-step explanation:
Candy box is made that measures 45 by 24 inches.
Let the squares of equal size x inches has been cut out of each corner.
The sides will then be folded up to form a rectangular box.
Now we have to find the size of square that should be cut from each corner to obtain maximum volume of the box.
Now the box is with length = (45 - 2x) inches
and width = (24 - 2x) inches
and height = x inches
Volume of the candy box = Length × width × height
V = (45 - 2x)(24 - 2x)(x)
V = x(1080 - 48x -90x + 4x²)
= x(1080 - 138x + 4x²)
= 4x³ - 138x² + 1080x
Now we will find the derivative of volume and equate it to zero.
12(x² - 23x + 90) = 0
x² - 23x + 90 = 0
x² - 18x - 5x + 90 = 0
x(x - 18) - 5(x - 18) = 0
(x - 5)(x - 18)=0
x = 5, 18
Now for x = 18 Width of the box will be = (24 - 2×18) = 24 - 36 = -12
Which is not possible.
Therefore, x = 5 will be the possible value.
Therefore, square having area 25 square inches should be cut out from each corner to get the maximum volume of candy box.
