ANSWER
The equation of the new parabola is

EXPLANATION
The given parabola has equation:

If this parabola is reflected in the x-axis, its equation becomes :

When this parabola is scaled vertically by a factor of 5, the equation becomes,

Answer: The first equation is an equation of a parabola. The second equation is an equation of a line.
Explanation:
The first equation is,

In this equation the degree of y is 1 and the degree of x is 2. The degree of both variables are not same. Since the coefficients of y and higher degree of x is positive, therefore it is a graph of an upward parabola.
The second equation is,

In this equation the degree of x is 1 and the degree of y is 1. The degree of both variables are same. Since both variables have same degree which is 1, therefore it is linear equation and it forms a line.
Therefore, the first equation is an equation of a parabola. The second equation is an equation of a line.
Answer:
B. 0.835
Step-by-step explanation:
We can use the z-scores and the standard normal distribution to calculate this probability.
We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.
We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.
Then, the z-scores for X=-43.5 and 32.1 are:

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

Answer:
The variance in weight is statistically the same among Javier's and Linda's rats
The null hypothesis will be accepted because the P-value (0.53 ) > ∝ ( level of significance )
Step-by-step explanation:
considering the null hypothesis that there is no difference between the weights of the rats, we will test the weight gain of the rats at 10% significance level with the use of Ti-83 calculator
The results from the One- way ANOVA ( Numerator )
with the use of Ti-83 calculator
F = .66853
p = .53054
Factor
df = 2 ( degree of freedom )
SS = 23.212
MS = 11.606
Results from One-way Anova ( denominator )
Ms = 11.606
Error
df = 12 ( degree of freedom )
SS = 208.324
MS = 17.3603
Sxp = 4.16657
where : test statistic = 0.6685
p-value = 0.53
level of significance ( ∝ ) = 0.10
The null hypothesis will be accepted because the P-value (0.53 ) > ∝
where Null hypothesis H0 = ∪1 = ∪2 = ∪3
hence The variance in weight is statistically the same among Javier's and Linda's rats
Answer:
C. -31m⁴n - 8m²
Step-by-step explanation:
Given:
(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
Required:
Determine an expression equivalent to it
Solution:
(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
Distribute the negative sign to open the parentheses
9mn - 19m⁴n - 8m² - 12m⁴n - 9mn
Combine like terms
9mn - 9mn - 19m⁴n - 12m⁴n - 8m²
-31m⁴n - 8m²
Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)