When written in standard form, you have to order each term from the highest degree to the lowest degree.
b. x^4y² + 4x²y + 8x is your answer.
hope this helps, God bless!
The equation is y2-y1/ x2-x1= slope, so 7-0/ 6-0= 6/7 or about 0.857.
The GCF (Greatest Common Factor) of 25 and 65 is 5. So, we can divide both numbers by 5.
25 / 5 = 5
65 / 5 = 13
Now, put it into a fraction.
5/13
This cannot be simplified any further.
Best of Luck!
Answer:
The correct option is;
Two-tailed test
Step-by-step explanation:
From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14
Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;
H₀: Null hypothesis (no difference, or no change)
H₁: μ ≠ μ₀ which is hypothesizing difference which is known as a two-tailed test
The confidence level is then selected and the test statistic is calculated
Let the length of the side of the 4 small squares be = x.
The formula for the volume of the box will be
height * width * length
V = x ( 9 - 2x)^2
V = 81x - 36x^2 + 4x^3
finding the derivative:-
dV / d x = 12x^2 - 72x + 81
THis equals 0 for a maximum / minimum value
12x^2 - 72x + 81 = 0
3(4x^2 - 24x + 27) = 0
x = 4.5 , 1.5
Use second derivative to find maxm and minm:-
d^2V / dx^2 = 24x - 72
when x = 1.5 this is negative and when x = 4.5 this is positive
so x = 1.5 gives a maximum value for V
V = 1.5(9- 2(1-5))^2 = 54
Largest possible volume of the box is 54 cm^3 Answer