Answer:
x ≠ 4 or -2
Step-by-step explanation:
the denominator cannot be zero, so factor the bottom equation to get the zeros and those are the domain restrictions.
3x^2 - 6x - 24 ≠ 0
3(x^2 - 2x - 8) ≠ 0 (factor out a 3)
3(x - 4)(x + 2) ≠ 0 (factor equation)
x ≠ 4, x ≠ -2 (use zero product property to find zeros)
Answer:
Step-by-step explanation:
Givens
Greeting Card = 3.79
Total Cost = 5.11
Post cards = x
Equation
Total Cost = Greeting Card + 4x
Solution
Substitute the gives into the equation
5.11 = 3.79 + 4x Subtract 3.79 from both sides
5.11 - 3.79 = 3.79 - 3.79 + 4x Combine
1.32 = 4x Divide by 4
1.32/4 = 4x/4
x = 33
Each post card costs 0.33 dollars
Answer:
<BCO = <BAO = 20degrees
Step-by-step explanation:
If <ABC measures 100 and is inscribed in a circle O. find <BAO and <BCO
To get <BAO and <BCO, we need to get <AOC first.
From the figure, it can be seen that triangle ABC is an isosceles trinagle. Hence;
<BAC + <BCA + 100 = 180
Since <BAC = <BCA
<BAC + <BAC = 180 - 100
2<BAC = 80
<BAC = 80/2
<BAC = 40
Also;
<BAO = <BCO and <BAO = <BAC/2
<BAO = 40/2 = <BCO
Hence <BCO = <BAO = 20degrees
I'm not sure you finished the question because there isn't an x there but I simplified it in case that's what you wanted
2 + 6 = 8
4 - 3 = 1
8(1) = 8
8 = 8
