Step-by-step explanation:
Remember that in a linear function of the form 
, 
is the slope and 
is the why intercept.
Part A. Since 
, its slope is 2 and its y-intercept is 6
Now, to find the slope of 
we are using the slope formula:
where
is the slope
are the coordinates of the first point
are the coordinates of the second point
From the table the first point is (-1, -12) and the second point is (0, -6)
Replacing values:
The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).
Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table 
when 
; therefore the y-intercept of is -6.
We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.
Answer:a/b x c/d= a x c/b x d
Show that ac and bd are integers
Step-by-step explanation:
Answer: E = 56
Step-by-step explanation:
E is proportional to √C
To remove proportionality, introduce a constant (k).
E = k × √C
From question,
E = 40 and C = 25
So,
40 = k ×√25
40 = k × 5
k = 8
Now,
C = 49
k = 8
E = ?
E = k√C
E = 8 × √49
E = 8 × 7
E = 56
Answer:
Step-by-step explanation:
Change g(n) to y
y = 2n - 2
2y - 2 = n
2y = n + 2
y = (n + 2)/2
g^-1(n) = 1/2n + 1
solution is B
Answer:
<h2>5 quarts</h2>
Step-by-step explanation:
Let's think through this bit by bit.
<em>10 lbs * 16 oz/lb = 160 oz. of apples.</em>
In the proportion below, we can see we simply divide by 8, in terms of magnitude.
8 oz -> 1 cup
160 oz -> 160/8 -> 20 cup
20 cups! Is it the answer? NO! They're asking for it in units of <em>quarts, not cups.</em>
We must remember that 1 quart = 4 cups.
20 cups * 1/4 qt/cups = 5 quarts
