Choose the best answer from the four choices given. You may use scratch
1 answer:
Answer:
The answer is B.
Step-by-step explanation:
Instead of solving each equation, simply think about it alternatively.
Recall that quadratic equations can also be written as: , where
and
are the solutions.
We know that 1 and -3 are solutions, so we can substitute them in for and
.
Thus, we have:
Now, expand:
The answer is B.
You might be interested in
1.
2.
3.
4.
Comments:
We can see that as long as we add/subtract any value to both sides nothing happens: true statements remain true and false statements remain false. But if we multiply or divide by negative values, false statements become true and true statements become false. That why, when you multiply or divide an inequality by a negative number, you should also flip the inequality sign. For example, if we start with the true inequality
If we multiply both sides by -2 we have to flip the sign as well:
And the inequality will remain true.
Answer:
4 rolls of blue ribbon,
5 rolls of silver ribbon,
3 rolls of yellow ribbon.
Step-by-step explanation:
We have been given that Mrs Grey is buying decorative ribbon of three different colors: blue, silver, and yellow. Blue ribbon is sold in rolls of 15 meters, silver is sold in rolls of 12 meters, and yellow comes in rolls of 20 meters.
As Mrs. Grey needs to have same length of each ribbon, so we will find the least common multiple of 15, 12 and 20.
Multiples of 15 are: 15, 30, 45, 60, 75, 90,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,...
Multiples of 20 are: 20, 40, 60, 80,100,...
We can see that 60 is the least common multiple of 15, 12 and 20.
Therefore, Mrs. Grey should buy 4 rolls of blue ribbon.
Therefore, Mrs. Grey should buy 5 rolls of silver ribbon.
Therefore, Mrs. Grey should buy 3 rolls of yellow ribbon.