First simplify the square roots:
Then simplify the last two terms:
Since 61 is prime, you can't take a rational root out of it.
The value of x is 3.8
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
We have to solve the equation for "x"
Move the terms so that you end up with only terms involving x on one side of the sign and all the numbers on the other
Therefore, we get
x + 7.4 = 11.2
When we move 7.4 from left side to right side of equation it becomes -7.4
x = 11.2 - 7.4
Subtract 7.4 from 11.2
x = 3.8
Thus value of x is 3.8
One gallon equals to 4 quarts.
The instructions tell you to add 1 part of cleaner and 3 parts of water, in total 4 parts. It makes it easy as you can take that one part = one quart.
You will use 3 quarts of water and 1 quart of cleaner. The answer is D.
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
Based on the fact that the Polygon ABCD was translated, then the polygon that is a translation of it will be Polygon 3.
<h3>What polygon is the translation of Polygon ABCD?</h3>
When a shape is translated, it is taken as it is from one area of the coordinate plane, to another area of the plane.
This means that it doesn't change in height, or orientation.
The only polygon that still looks like Polygon ABCD is Polygon 3 which means that it is the translated version.
Find out more on transformations at brainly.com/question/4289712
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