I'll go over part A.
What's happening is that we are plugging some unknown number x into the function, and getting -1 as the result. The function rule is 3*x-7 which translates to "multiply the input number by 3, then subtract off 7"
Notice how multiplication comes first and then we subtract. This is following the order of operations PEMDAS (some books may call it BEDMAS depending on your region). The M for multiplication comes before the S for subtraction.
To isolate x, we follow the order of operations in reverse. We undo the "subtract off 7" then we undo the "multiply by 3"
So this is how it all works out
f(x) = 3x-7
-1 = 3x-7 .... replace f(x) with -1
3x-7 = -1
3x-7+7 = -1+7 ... add 7 to both sides to undo the "-7"
3x = 6
3x/3 = 6/3 ... divide both sides by 3 to undo the "multiplication"
x = 2
Therefore, if the input is 2, then output is -1
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Let's plug x = 2 into the function and see what happens
f(x) = 3x-7
f(2) = 3*2-7 .... replace x with 2
f(2) = 6-7 .... multiply
f(2) = -1 .... subtract
The input x = 2 leads to the output -1
So this confirms that x = 2 is the proper answer for part A
Answer:
Step-by-step explanation:
(a) Use the GaussPivotLarge function to solve the system of linear equations in Eq. (4.17).
(b) Use the GaussPivotLarge function to solve the system:
(See the last attachment)
Answer:
The rates are 1/2 yards per hour
Step-by-step explanation:
Here, we want to calculate the rate of change in the amount of yarn
We start by calculating the difference between what we had initially and what we have now
That will be;
3 3/4 - 1 1/8
= 15/4 - 9/8 = 21/8 yards
So we now divide this by the number of hours
21/8 yards divided by 51/4
= 21/8 * 4/21 = 1/2 yards per hour