Answer: F=160
Step-by-step explanation:
if
8=27
F = 540
multiply 540 x 8 /27 = F = 160
(gof)(x) = g(f(x))
so
g(f(x)) = 3(6x - 4)^2 -2(6x - 4) - 10
g(f(x)) = 3(36x^2 - 48x + 16) - 12x + 8 - 10
g(f(x)) = 72x^2 - 144x + 48 - 12x - 2
g(f(x)) = 72x^2 - 156x + 46
answer
(gof)(x) = 72x^2 - 156x + 46
Answer:
The answer is
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the point is (0,1) and slope - 1/3
The equation is
We have the final answer as
Hope this helps you
Answer:
radius = 10 units
Step-by-step explanation:
using the Pythagorean theorem:
height of triangle = 6 units
base of triangle = 16/2 = 8 units
radius² = 6² + 8² = 36 + 64 = 100
radius = √100 = 10 units
Answer:
(d) 2x +y = 8
Step-by-step explanation:
The answer choices are shown in "standard form," so the comparison to the given equation is easier if it is written in standard form. Add 2x to both sides:
2x +y = 5 . . . . . . given equation in standard form
The other equation in a system with no solution will look like this, but will have a different constant:
2x +y = 8 . . . . . . does not intersect the given equation
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<em>Additional comment</em>
All of the other equations shown will intersect the given equation. One way to show this is to use the given equation to substitute for y in the answer choices:
a: 2x -(-2x+5) = 8 ⇒ 6x -5 = 8 . . . one solution: x=13/6
b: x +2(-2x+5) = 8 ⇒ -3x +10 = 8 . . . one solution: x=2/3
c: x -2(-2x+5) = 8 ⇒ 5x -10 = 8 . . . one solution: x=18/5
d: 2x +(-2x+5) = 8 ⇒ 5 = 8 . . . no solution
