Answer:
Area = 14¹/16 yd² or 14.0625 yd²
Step-by-step explanation:
2. The figure given is a square having equal sides of 3¾ yd each.
Formula for area of the square = a²
Where,
a = 3¾ yd
Plug in the value into the equation:
Area = (3¾)²
Change to improper fraction
Area = (15/4)²
Area = 225/16
Area = 14¹/16 yd² or 14.0625 yd²
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Answer:
Hence, the particular solution of the differential equation is .
Step-by-step explanation:
This differential equation has separable variable and can be solved by integration. First derivative is now obtained:
, where C is the integration constant.
The integration constant can be found by using the initial condition for the first derivative ():
The first derivative is , and the particular solution is found by integrating one more time and using the initial condition ():
Hence, the particular solution of the differential equation is .
9514 1404 393
Answer:
0
Step-by-step explanation:
The forces are equal and opposite, so the net force is zero.
5N -5N = 0
1/3^-2
You flip the denominator and the numerator to make the 3^-2 positive.
3^2/1= 3^2= 9
1/2^-3
2^3/1= 2^3= 8
I can already tell you that the negative exponents are not going to be as high in value.
3^-2= 1/3^2= 1/9
2^-3= 1/2^3= 1/8
1/3^-2 (the first option) <=== the highest in value
I hope this helps!
~kaikers