Use the 2 dots on the line located at (0,1) and (-3,0).
The slope is the change in Y over the change in X:
Change in Y = 0-1 = -1
Change in X = -3 - 0 = -3
Slope = -1 / -3 = 1/3
They intercept in this case is Y1 which = 1.
The equation is y = 1/3x + 1
Answer:
x = ±
Step-by-step explanation:
Given
2x² - 9 = 11 ( add 9 to both sides )
2x² = 20 ( divide both sides by 2 )
x² = 10 ( take the square root of both sides )
x = ± ← exact solutions
To answer your question, it is shown in the graph below.
y=-3x-6 is parallel to y=-3x-2
Answer:
f(x) = |x + 1| – 3
Step-by-step explanation:
The given graph is a transformed absolute value function.
The parent function is
The graph is obtained by shifting, g(x) from the origin (0,0) to (-1,-3).
The transformed function is of the form:
Where (h,k) is the vertex.
We substitute h=-1 and k=-3 to get:
When we simplify we get:
Answer: The mean of this distribution = 61.95
The standard deviation of this sampling distribution (i.e., the standard error= 0.048
Step-by-step explanation:
Given : Data from the U.S. Department of Education indicates that 59% of business graduate students from private universities had student loans.
i.e. proportion of business graduate students from private universities had student loans : p=0.59
sample size : n=105
Then , the mean of the distribution is given by :-
∴The mean of this distribution = 61.95
Then standard deviation of this sampling distribution is given by :-
∴The standard deviation of this sampling distribution (i.e., the standard error= 0.048