The required inverse function 
= (2x - 3 ) / 4.
Given that,
f(x) = (2x+3) / 2
To find
<h3>What are functions?</h3>
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Let f(x) = y
y = (2x + 3) / 2
y * 2 = 2x + 3
2y - 3 = 2x
x = (2y - 3) / 2
Now replace y = x and x =
= (2x - 3 ) / 4
Thus, the required inverse function = (2x - 3 ) / 4.
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Answer:
intersection is (1,5)
Step-by-step explanation:
plug one equations into the other
y=2x+3
3x+y=8
3x+2x+3=8
simplify
5x+3=8
subtract 3
5x=5
x=1
plug x into one equation
y=2+3=5
intersection is (1,5)
The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.
<h3>What is parallelogram?</h3>
In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
As we know in the parallelogram, the diagonals bisect each other.
Then,
432 = 3x²
x² = 144
x = √144
x = 12
In the parallelogram, the adjacent opposite angles are the same.
∠C+∠B = 240°
= 360 - 240
∠A + ∠D = 120°
∠A = ∠D = 120°/2 = 60
∠D/2 = 60/2 = 3y + 60
3y + 60 = 30
3y = -30
y = -10
From the definition of the parallelogram, the provided figure is a parallelogram.
Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.
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Answer:
1
Step-by-step explanation: PEMDAS
1. 3 divided by 1/3 = 9
2. 9-9= 0
3. 0+1= 1
hope this helps! :-)
Answer:
11.59 centimeters
Step-by-step explanation:
Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)
Plug in the surface area, length, and width. Then, solve for h:
A = 2(wl + hl + hw)
467 = 2((4)(12) + h(12) + h(4))
467 = 2(48 + 12h + 4h)
467 = 2(48 + 16h)
467 = 96 + 32h
371 = 32h
11.59 = h
So, the height of the prism is approximately 11.59 centimeters
