Answer:
Translate circle O 2 units to the left and 6 units down. Then dilated circle o by a scale factor of 4/5.
Step-by-step explanation:
Objective: Using transformations that are similar and congruent.
Answer:
260 gallons of lemonade
Step-by-step explanation:
Step one:
given data
We are told that Jada made 316 gallons of lemonade.
and later served 56gallons of the lemonade
Required
The remaining Lemonade
Step two
We have the total lemonade as 316
and the deducted as 56
the balance will be
= 316-56
=260 gallons of lemonade
Rounded to the nearest hundredth =4.47
Answer:
[-6,-3]
Step-by-step explanation:
So we have the compound inequality:
![2x+7\leq x+4\leq 3x+16](https://tex.z-dn.net/?f=2x%2B7%5Cleq%20x%2B4%5Cleq%203x%2B16)
Let's solve for each of the inequalities:
1)
We have:
![2x+7\leq x+4](https://tex.z-dn.net/?f=2x%2B7%5Cleq%20x%2B4)
Subtract x from both sides:
![x+7\leq 4](https://tex.z-dn.net/?f=x%2B7%5Cleq%204)
Subtract 7 from both sides:
![x\leq -3](https://tex.z-dn.net/?f=x%5Cleq%20-3)
So that's one of our answers.
2)
We have:
![x+4\leq 3x+16](https://tex.z-dn.net/?f=x%2B4%5Cleq%203x%2B16)
Subtract 3x from both sides:
![-2x+4\leq 16](https://tex.z-dn.net/?f=-2x%2B4%5Cleq%2016)
Subtract 4 from both sides:
![-2x\leq 12](https://tex.z-dn.net/?f=-2x%5Cleq%2012)
Divide both sides by -2. Since we're dividing by a negative, flip the sign:
![x\geq -6](https://tex.z-dn.net/?f=x%5Cgeq%20-6)
Therefore, our entire answer is:
![-6\leq x\leq -3](https://tex.z-dn.net/?f=-6%5Cleq%20x%5Cleq%20-3)
This means all values in between -3 and -6 including -3 and -6.
In interval notation, this is:
![[-6,-3]](https://tex.z-dn.net/?f=%5B-6%2C-3%5D)
So, A is -6.
And B is -3.
And we're done :)
D because you know it can’t be a or b and the bigger number goes first