Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
The curve is y equals 0 from negative x to negative y near x equals negative 8.
If a curve has Vertical Asymptote i.e the line x=p,it is never touched by the given curve.The curve remains almost parallel to the line x=p, till the end.The two i.e a line and curve will never meet each other.
→ x is almost equal to p but not p.
so in the denominator , it is x=-8,
Vertical Asymptote occurs when we put , denominator of curve=0.
so vertical asymptote of curve is : x= -8
Answer: Joe's weekly allowance = $12
Step-by-step explanation:
Joe spent half of his weekly allowance playing mini-golf
Let a = his weekly allowance
This means Joe spent a/2 playing mini-golf.
To earn money, his parents let him weed the garden for $6
This means Joe's total money
= a + 6
What is his weekly allowance if he ended with $12?
This means he had $12 left after spending a/2 from ta total of (a +6)
Therefore,
(a +6) -a/2 = 12
Taking LCM of 2
[2(a+6)-a]/2=12
Cross multiplying by 2
2a + 12-a = 24
a+12 =24
a = 24-12 =$12
Joe's weekly allowance = $12
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.
