The reasons that the sample is representative:
The builders were chosen at random
The population included only builders who build in Vicki's town
Vickie wanted to determine the cost of building a house in her home, so the fact that the builders were from her town makes the sample more representative. Moreover, the random choosing of the builders helps to remove any biases that may be present.
Question A:
Rewriting the table for f(x):
x -1 0 1
f(x) -7 -1 5
Notice that for every increase of one unit in 'x', there are an increase 6 units on f(x). Hence, the gradient of the slope of f(x) is 6.
g(x) = 5x - 4 ⇒ This function follows the general form of the straight line equation, y = mx + c, where 'm' is the gradient and 'c' is the y-intercept.
Hence, the gradient of the slope of g(x) is 5.
The slope of f(x) is steeper than the slope of g(x).
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Question B:
The y-intercept is the value of y where a straight line crosses the y-axis (or when x is zero).
From the table of f(x), the y-intercept is -1 (this is the value of 'y' when 'x' is zero)
From the given function g(x) = 5x - 4, the y-intercept is -4.
f(x) has a greater y-intercept.
17/(47+36+17)--> 17/100 so 17%
Answer:
74.73%
Step-by-step explanation:
First, we're gonna find out her total amount
We're gonna use the count interest formula: P = A(1 + r)ⁿ
P = final amount
A = starting amount (1300)
r = rate (0.06)
n = years (5)
P = 1300(1 + 0.06)⁵
P = 1739.693251
Now divide the starting amount by the total amount
1300 ÷ 1739.693251 = 0.7472582
9514 1404 393
Answer:
x - 6
Step-by-step explanation:
For values of x greater than or equal to 6, the difference x-6 is non-negative, so the absolute value function does nothing. The value is ...
x -6
