Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given
Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;
This gives:
Substitute values for f(0) and f(1)
The slope of g(x) can be gotten using the following comparison
So:
Solving (b): Compare the y intercept
y intercept is when
From the table of f(x)
From the equation of g(x)
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Answer:
w = -3
Step-by-step explanation:
8w + 12 = -12
use inverse operations:
8w + 12 = -12
-12 -12
8w = -24
/8 /8
w = -3
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
he formula of a distance between a point (a, b)
and a line Ax + By + C = 0:
We have the point A(-1, 7) → a = -1, b = 7
and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.
Substitute:
<h3>Answer: d = √10</h3>