Answer:
the 3rd degree
Step-by-step explanation:
its to the 3rd power
i think
Answer:
6) B. Reflection over the y-axis, then reflection over the x-axis
7) B. The initial value of the function is the y-intercept of the line, 275
8) A. y = 45 - 6x
Step-by-step explanation:
6) See first attached file :)
7) Option A is incorrect because the rate of change/slope is "-20x" not just "-20." Option C is incorrect because the initial value/y-intercept is $275 and not $2. Option D is incorrect because it implies she doesn't withdraw $20 the first month, which wasn't mentioned in the question. Option B is the only one to apply to the graph. See second attached file for graph reference.
8) The question explains the function "y=6x+45" and that matches all options except for option A.
haha third time for this one
Answer:
Step-by-step explanation:
Information given
represent the sample mean for the content of active ingredient
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be:
(1)
Now we can calculate the statistic:
P value
The degrees of freedom are calculated like this:
Since is a one left tailed test the p value would be:
The number of roots of a quadratic function can be determined from its discriminant.
If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.
The discriminant can be calculated as:
Disc = b² - 4ac
For the given equation:
Disc = 9 - 4(2)(1) =1
Since the value of discriminant is positive, the function will have two distinct roots.
So, the answer to this question is option B
One Way:
We can change the mixed number to a decimal for comparing.

m =

m = 1.25 m
1.4 m > 1.25 m
Darren > Luke
Darren's jump was higher by (1.4-1.25)
0.15 m
Or another way change the decimal to a fraction and the mixed to an improper fraction too.

=

(Luke)
1.4 =

(Darren)
We need a common denominator to compare

(Luke)

(Darren)

(Luke)

(Darren)

Darren > Luke
By:

-

=

Which is also by
0.15 m
Darren jumps higher and by 0.15 m