Answer:y=-5(x+11)^2 -28
Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?
First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)
Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.
Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.
I hope that helps!
First, you multiply 6 by 6, since one-sixth of all her dog toys are red.
6×6=36.
Next, we put them in fraction form just to check.
Next, we simplify it to see if we get one-sixth.
After it's simplified we get
That means she has
36 dog toys.
Have a nice day! :)
Answer:
275.
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Therefore, since the only number is 275, the answer is 275, as 275 divides into 275 (1).
Answer:
80%
Step-by-step explanation:
Total boxes of apples delivered = 90
Total boxes sold = 72
What percentage of the delivered apples have been sold?
Percentage sold = Total boxes sold / total boxes delivered × 100
= 72 / 90 × 100
= 0.8 × 100
= 80%
The percentage of the delivered apples have been sold is 80%
Percentage unsold = (total boxes delivered - total boxes sold) / total boxes delivered × 100
= (90 - 72) / 90 × 100
= 18 / 90 × 100
= 0.2 × 100
= 20%
Answer:
C=-2t+30
Step-by-step explanation:
Origional equation Y=-2x+30
b=30, this is because he started off with 30 chocolates in a box.
-2=m, because he eats 2 pieces of chocolate each night.