Answer:
Step-by-step explanation:
The equation for that is
If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.
Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
and now we will factor by grouping:
and factor out what's common:
The factor (x + 10) is common, so we will now factor that out:
By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
simplifies to
100 - 30 which does in fact equal 70. OR
which simplifies to
49 + 21 which also equals 70.
So you're done!
The price of of the hotdog to the price of popcorn is in the ratio 5:4
25:20 is 5:4
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.
Answer:
8
Step-by-step explanation:
|x - 13|
Let x =5
|5 - 13|
|-8|
Absolute value means positive
8
| -6x - 3 | > 15
This expression can be written as:
a) -6x - 3 > 15
b) -15 > - 6x - 3
Solving a part:
Solving b part:
or we can write:
x > 2
So the solution to given inequality is:
The second option correctly lists this solution.
