The inverse of the given function is y = (12-x)/6
<h3>Inverse of a function</h3>
Given the following function expressed as:
f(x) = -6x +1/2
Replace y with x
x = -6y + 1/2
Make y the subject of the formula
6y = -x + 12
y = (12-x)/6
Hence the inverse of the given function is y = (12-x)/6
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Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.
<h3>How to simplify the expression?</h3>
Remember the exponent property:
Here we have the expression:
We can reorder this to get:
The right side can be simplified to:
Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:
Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).
If you want to learn more about scientific notation:
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First, r<span>earrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : </span><span>3*(2*x-1)-(4*x+2)=0
= </span><span>3 * (2x - 1) - (4x + 2) = 0
= 2x - 5 = 0
= </span>2x-5 = 0<span> ---- </span><span>Add </span> 5 to both sides of the equation ---><span>
</span>= 2x = 5
Then you will divide both sides of the equation by 2 and get,
<span>= x = 5/2 OR 2.5
I hope this helps!</span>
Answer:
500/50, 600/60, 700/70
Step-by-step explanation:
500/50 equals 10 and so do the others. This is because the fraction line means division.
Have a nice day!!!!!! :-)
<u>KA</u>
