First, get common denominators
At the same time, turn these into mixed numbers
27/8 + x = 44/8
Subtract 27/8 from both sides
x = 2 1/8 pounds
Let’s x be how many more pounds the baby needs
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
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Answer:
yes
Step-by-step explanation:
We need to check if the circle with a circumference of 15 feet is smaller then 7 feet. If so it possible.
Formule for circular circumference = pi * diameter, which should be 15.
So pi * d =15
There fore d = 15/pi
d = 4.77464829275686 feet, which is smaller then 7 feet, so it will fit easilly.
Comparing to the standard equation, the parabola with a vertex at (-2,0) is given by:
y = (x + 2)²
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, we have that h = -2 and k = 0, and all the options have leading coefficient a = 1, hence the equation is:
y = (x + 2)²
More can be learned about the equation of a parabola at brainly.com/question/17987697
Answer:
120°
Step-by-step explanation:
Area of a sector is:
A = πr² (θ/360°)
Plugging in values and solving:
49/3 π = π (7)² (θ/360°)
49/3 π = 49π (θ/360°)
1/3 = θ/360°
θ = 120°
