Answer:
The correct option is;
C. Quadratic
Step-by-step explanation:
The given information are;
The quantity of corn Farmer Joe has to sell = 1,000 bushels
The present market price for corn = $5.00 a bushel
The amount by which he expects the market price to rise per week =$0.15
The number of bushels lost to spoilage per week = 10
Therefore, we have;
The value of the corn = Amount of corn left × Price of corn
The price of the corn per bushel with time = 5 + 0.15×t
The amount of corn left = 1000 - 10×t
Where;
t = Time in minutes
Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.
Therefore, the correct option is a quadratic model.
Answer:
There can be 9 arrays.
Step-by-step explanation:
We are asked that the number of arrays that Courtney can make with 36 photos.
The dimensions of the possible arrays are
Here, the array with 1 row by 36 columns and 36 rows by 1 column are different. (Answer)
Arrays represent sets of elements in rows and columns. Courtney can make 9 different arrays with her 36 photos: 1x36, 2x18, 3x12, 4x9, 6x6, 9x4, 12x3, 18x2, 36x1.
An array represents a set of elements organized in rows and columns. It is a way to represent multiplication and division. Here, we must determine all possible ways Courtney can arrange her 36 photos.
The possible arrays, or divisions of 36, include:
So, Courtney can make 9 different possible arrays with 36 photos.
A. y = -5/4x = -5/9
B. y = -4x = 9
C. y = 5/4x + 9/4
D. y = 4/5x - 9/5
Given the quadratic functions expressed as;
x² - 6x = 12
The value of p given the quadratic expression is -3
Complete the square at the left hand side of the equation.
Add the square of the half of coefficient of x to both sides.
coefficient of x = -6
Half of coefficient of x = -6/2 = -3
Square of the result = (-3)² = 9
Add 9 to both sides of the equation
x² - 6x + 9 = 12 + 9
Factoring the left hand side
(x-3)² = 21
Comparing the result with (x+p)² = q
The value of p wil be -3
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Answer:
p = - 3
Step-by-step explanation:
Given
x² - 6x = 12
To obtain the required form use the method of completing the square
add ( half the coefficient of the x- term )² to both sides, thus
x² + 2(- 3)x + 9 = 12 + 9
(x - 3)² = 21
Thus p = - 3
According to the division property when 416 is divided by 4 the resultant will be 104.
Given, 416 divided by 4.
The rules for division are:
(1) positive ÷ positive = positive
(2) positive ÷ negative = negative
(3) negative ÷ negative = positive
Here both the numbers are positive so by 1 rule the answer will be positive.
Now, Divide 416/4
⇒ 416/4
= 104.
Check:
100× 4 = 400
4 × 4 = 16
104 × 4 = 416
Thus the result will be 104.
Know more about division,
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f(x) = 3x - 2, g(x) = 6 - 4x
f(x) + g(x) = (3x - 2) + (6 - 4x)
= 3x - 2 + 6 - 4x combine like terms
= (3x - 4x) + (-2 + 6)