y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
Log (x) = 3
10^3 = x
x = 1,000
5 squared is 5x5. And 2 cubed is 2x2x2. So, the answer would be 200.
Answer:
The z-score for this length is of 1.27.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
One-year-old flounder:
Mean of 127 with standard deviation of 22, which means that 
Anna caught a one-year-old flounder that was 155 millimeters in length. What is the z-score for this length
This is Z when X = 155. So



The z-score for this length is of 1.27.
Missing term = –2xy
Solution:
Let us first find the quotient of
.


Taking common term xy outside in the numerator.

Both xy in the numerator and denominator are cancelled.

Thus, the quotient of
is
.
Given the quotient of
is same as the product of 4xy and ____.
× missing term
Divide both sides by 4xy, we get
⇒ missing term = 
Cancel the common terms in both numerator and denominator.
⇒ missing term = –2xy
Hence the missing term of the product is –2xy.