As long as your indexes are the same (which they are; they are all square roots) and you radicands are the same (which they are; they are all 11), then you can add or subtract. The rules for adding and subtracting radicals are more picky than multiplying or dividing. Just like adding fractions or combining like terms. Since all the square roots are the same we only have to worry about the numbers outside. In fact, it may help to factor out the sqrt 11:
. The numbers subtract to give you -9. Therefore, the simplification is
So whole numbers include the negative numbers, the zero and the positive numbers.
We will examine each category,
1- For the negative numbers:
multiplying a negative number by a positive value will result is a negative value (negative values are less than positive values of course). Therefore, multiplying any negative number by 400 will give a negative value which will make the desired statement false.
2- For the zero:
multiplying any number by a zero will give a result of zero which is again less than positive numbers. So, if we multiply 400 by a zero, the result will be zero which will again make the desired statement false.
3- For positive numbers:
multiplying two positive numbers will result in a positive value. Since 400 is already greater than 15, therefore, multiplying 400 by any positive value will keep the statement true. Since we are looking for the smallest whole number, therefore, we will choose that number to be 1 which will give 400 when multiplied by 400 (this is the smallest possible value).
The answer is 1.
Answer:
2(4x+1/4)
Step-by-step explanation:
You can put all of these equations into the Desmos Graphing Calculator and you will see that 2(4x+1/4) and -6x+3 3/4+14x-3.25 are equal to each other.
You cannot really see it in the picture below, but the purple 2(4x+1/4) line and the red -6x+3 3/4+14x-3.25 line are overlapping each other.
The line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
First, we need to find the line of best fit:
Let's suppose the line of the best fit is:
y = mx + c
We can find the value of m:
and
After calculating, we will get:
m = 4.71
d = -30.31
y = 4.71x—30.31
Plug x = 9.5
y = 14.43 ≈ 14.5 oz
Thus, the line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.
Learn more about the line of best fit here:
brainly.com/question/14279419
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<span>The inverse image or preimage of a particular subset S of the codomain of a function is the set of all elements of the domain that map to the members of S. Image and inverse image may also be defined for general binary relations, not just functions.</span>
