Shifting to left mean adding the number from each occurrence of x from the given function.
So, shifting x³ , 3 units to left will result in:
f(x) = (x + 3)³
Shifting down means subtracting the number from the function value.
So, shifting 2 units down will result in:
f(x) = (x + 3)³ - 2
Therefore, option A is the correct graph
Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
<u>Step-by-step explanation:</u>
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
= 6
So, stated the above two are the mistakes found in carlos work.
Answer:
uh cheese
Step-by-step explanation:
Big Rectangle : Small Rectangle = 4 : 3
4 parts = 6 inches
1 part = 6 ÷ 4 = 1.5 inches
3 parts = 1.5 x 3 = 4.5 inches
Answer: Corresponding side of the smaller rectangle is 4.5 in (A)
Answer:
0.6772
Step-by-step explanation:
Use a z-score table.
P(-0.85 < z < 1.15) = P(z < 1.15) − P(z < -0.85)
P(-0.85 < z < 1.15) = 0.8749 − 0.1977
P(-0.85 < z < 1.15) = 0.6772