Answer:
x = 216
Step-by-step explanation:
2 + 5 = 32
Subtract 2 from both sides of the equation
i.e. 2 + 5 - 2 = 32 - 2
5 = 30
Take the cube of both sides of the equation
i.e. (5)³ = (30)³
(5)³()³ = (30)³
(5 × 5 × 5)()³ = (30 × 30 ×30)
125x = 27,000
Divide both sides of the equation by the coefficient of x(which is 125)
x = 216
<u>Check</u>
Substituting 216 for x in 2 + 5∛x = 32,
2 + 5 = 32 ( = 6)
2 + (5 × 6) = 32
2 + 30 = 32
∴ x = 216
Hope this helps :))
Remember that if f and g are inverses of one another, then
f(g(x)) = g(f(x)) = x
1/2. Take a = 0 and b = 1 (or any non-zero number) so that
f(x) = x + 0/1 ⇒ f(x) = x
If g is to be an inverse of f, we need
g(f(x)) = g(x) = x
so that c = 1 and d = 0.
3. With f(x) = x + a/b and g(x) = cx - d, we have
g(f(x)) = g(x + a/b) = c (x + a/b) - d = cx + ac/b - d
and of course, with a,b,c,d as before, we get g(f(x)) = x.
4. This would be a very uninteresting graph for the example I've cooked up here, just containing the line y = x...
Answer:
3.1675
Step-by-step explanation:
"Your answer needs to be at least 20 characters long"
X + 3y > = 5
3y > = -x + 5
y > = -1/3x + 5/3
slope = -1/3....y int = (0,5/3)....x int = (5,0)
has a solid line....shaded above the line
2x + y < = 3
y < = -2x + 3
slope = -2.....y int = (0,3)....x int = (3/2,0)
has a solid line....shading below the line
its gonna be the second graph <===
Answer:
∠A=26º
∠B=137º
∠C=17º
Step-by-step explanation:
We can use the Law of Cosines because we have all 3 side lengths.
cosA =
cosA=28^2+12^2-18^2 / 2(28)(12)
cosA=604/672
cos-1(604/672
angle A ≈ 26º
cosB =
cosB=-316/432
cos-1(-316/432
angle B ≈ 137º
26+137=163
180-163=17
angle C ≈ 17º