The discontinuity occurs when x is either -5 or 3.
That is determined by solving denominator = 0 quadratic equation for x.
Hope this helps.
The formula for finding the radius of a circle while only knowing the circumference is r=C ÷ 2π. Substituting the value 10 for C, and 3.14 for π, we get:
r=10 ÷ 3.14 · 2 Now we divide 10 by 6.28
r≈1.59
Answer:
Step-by-step explanation:
g(x) = ½(x-12)(x-4)
This form of the equation tells you that the zeros of the function are 12 and 4.
The 6th term is 22.
The common difference is 6.
Thus the 7th term is 22 + 6.
The 7th term is 28.
The 8th term is 34.
The 9th term is 40.
The 10th term is 46.
The 11th term is 52.
The 12th term is 58.
The 13th term is 64.
The 14th term is 70.
The 15th term is 76.
<u>Here's how you can solve this algebraically if you want to know.
</u>An arithmetic function can be written as
nth term = common difference × n + starting number
We know that the 6th term is 22, so let's find the starting number.
22 = 6 × 6 + starting number
22 = 36 + starting number
-14 = starting number
Now that we know the starting number, let's find the 15th term.
15th term = 6 × 15 - 14
15th term = 90 - 14
15th term = 76
Given the word problem, we can deduce the following information:
1. The ratio of the two complementary angles is 3:7.
To determine the measures of both angles, we must note first that complementary angles are two angles whose measures add up to 90°. So our equation would be:
We simplify the equation above:
We plug in x=9 into 3x to get the first angle:
Angle 1 = 3x = 3(9) = 27
Then, we plug in x=9 into 7x to get Angle 2:
Angle 2= 7x=7(9)=63
Therefore, the measures of both angles are 27° and 63°.