Answer:
Step-by-step explanation:
Let
w ----> the amount of weight lost in pounds
we know that
The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week
so
The linear equation that represent this situation is
solve for w
subtract 2,312 both sides
You can use any letter but when you label it x you find x
They are not inverse functions of one another. For f(x) and g(x) to be inverses of each other, f(g(x)) = x. In this case, pi(x+2/pi)-2 = pi* x, which is not x.
The value of y is 3 when x is 6.
Solution:
The given table is the amount of cheese in ounces and the cost price.
Let x represents the amount of cheese and y represents the cost price.
The formula which derived from the table is y = x ÷ 2.
That is 
.
<u>To find the value of y when x is 6:</u>
Substitute x = 6 in the formula, we get
y = 3
Hence the value of y is 3 when x is 6.
First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.
The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.
The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.
I hope this helps!
