Answer:
Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:
And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:
Simplifying the right side:
Remove the parentheses:
Move the y's to the left side and the rest of the expression to the right side:
Factor out y:
Divide by x-1:
Answer:
9) Domain: 0≤x≤6
Range: -3≤y≤3
10) Domain: -∞≤x≤∞
Range: -∞≤y≤∞
11) Domain: -∞≤x≤∞
Range: y≥-2
13) Domain: -∞≤x≤∞
Range: -2≤y≤4
Step-by-step explanation:
9) Domain: 0≤x≤6
Range: -3≤y≤3
10) Domain: -∞<x<∞
Range: -∞<y<∞
11) Domain: -∞<x<∞
Range: y≥-2
13) I think you need to look at this one again. It looks like:
Domain: -∞<x<∞
Range: -2≤y≤4
Hello :
x²-8x+15 = (x-3)(x-5)
<span>h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5</span>
Answer:
Step-by-step explanation:
Remark
Read the following carefully.
There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.
To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.
For this problem <BDC = <CAB = 33 degrees.
That means that ADC = 37 + 33 = 70
Solution
<ADC and CBA are opposite angles.
That means that they add to 180
From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71
<ABC + ADC = 180
m + 71 + 70 = 180 Combine
m + 141 = 180 Subtract 141 from both sides.
m+141-141= 180 - 141 Combine
m = 39
Answer: m = 39
