We know the algebraic identity: (a - b)(a + b) = a^2 + b^2. Therefore, we should square 3 and 4x.
- = (3)^2 - (4x)^2
- 9 - 16x^2
<u>Answer</u><u>:</u>
<u>9</u><u> </u><u>-</u><u> </u><u>1</u><u>6</u><u>x</u><u>^</u><u>2</u>
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Answer:
Total time = 19 minutes.
Step-by-step explanation:
Given the following data;
Time to shower = 720 seconds
Time to eat breakfast = 420 seconds
To find the total time in minutes;
Total time = 720 + 420
Total time = 1140 seconds
We know that 60 seconds equals a minute.
Total time = 1140/60
Total time = 19 minutes.
Therefore, it will take Andrew 19 minutes to take a shower and eat breakfast.
Answer: 432cm^3
Step-by-step explanation:
Answer:
14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>
x = 20 -y . . . . . . . subtract y from the first equation
7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
140 -1.5y = 119 . . . . . . . . simplify
21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
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<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.
Answer:788
Step-by-step explanation: