When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.
In our case we assume a is not smaller than 7, that is we assume a≥7.
a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:
3a+7≥28,
which is a contradiction because 3a+7 is smaller than 28.
So our assumption is wrong, which means the opposite of it is correct.
Answer: assume a≥7
First add 24.95 and 35.99. You get 60.94 (Remember This!)
Now you take 49.95 divided by 2. you should get: 24.975.
add 24.975 with 60.94. You get 85.915
take 85.915 and multiply it by 0.15. You get 12.88725.
Subtract 85.915 by 12.88725. You should get 73.02775.
Now multiply that by 0.045. you should get 3.28624875.
Add that onto 73.02775, and you get 76.31399875.
Round that to the nearest hundredth, and your done! (The answer is: 76.31!)
The answer will be the B.
The correct answer is B. Readmitting states when 10 percent of the electorate took a loyalty oath.
Explanation:
The election of Abraham Lincoln as the President of the U.S. motivated states of the South to secede from the United States and began the Civil War, which was influenced by the slavery issue. In this context, one of the purposes of Lincoln was to end slavery and re-integrate states of the South.
This was possible only at the end of the Civil War. Moreover, the plan Lincoln implement was known as the Ten percent plan and involved the 10% of the people who could vote in a state (electorate) needed to take a loyalty oath or declare complete loyalty and support to the U.S. government for the state to be admitted in the U.S. again.
9514 1404 393
Answer:
C- (14, 4); The vertex represents the maximum profit.
Step-by-step explanation:
The leading coefficient of the quadratic function is negative, so the graph opens downward, and the vertex represents a maximum.
The maximum value is at ...
x = -b/(2a) = -28/(2(-1)) = 14
f(14) = -14^2 +28(14) -192 = 4
The vertex is (14, 4). It represents the maximum profit.
