Answer:
no, it cannot
Step-by-step explanation:
a difference of square is: a² - b² = (a - b)(a + b)
looking at the expression (5z+3)(-5z-3), we see that it does not fit the criteria of the breakdown of a perfect square, as (-5z-3) has a negative <em>a</em> term (-5z)
if we FOILed (5z+3)(-5z-3) out, we would get:
-25z² - 30z - 9, which is not a difference of squares
The amount in gallons of each milk containing 9% butterfat and milk containing 4% butterfat which must be used to obtain the desired 365 gallons are;
- 219 gallons of 9% fat.
- 146 gallons of 7% fat.
<h3>What quantity of each type of milk is required for the desired 365 gallon?</h3>
It follows from the task content that the quantity of each type of milk required to arrive at the targeted fat content and quantity of milk are to be determined.
Let x = quantity of 9% fat milk and
Let y = quantity of 4% fat milk
Therefore, by mass balance; we have;
x + y = 365.
Where; y = 365 - x.
Also, by fat balance; we have;
(9% × x) + (4% × y) = (7% × 365)
9x + 4y = 2555
Therefore, the two equations to be solved simultaneously by substituting y from the first equation into the second equation as follows;
9x + 4 (365 - x) = 2555
5x = 1095
x = 1095/5
x = 219 gallons.
Also, y = 365 - 219 = 146 gallons.
Read more on simultaneous equations;
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With the given inequalities, the best answer is the middle graph. Getting the values for x, we obtain x>5 and x>=1. The middle graph shows that the value of x is all real numbers greater than or equal to 5. This best satisfies both equation as the two values for x requires real number greater than 5 and greater than or equal to 1 respectively.
