Answer:
B. 1
Step-by-step explanation:
5x + 10 = 15
-10 -10
5x = 5
÷ 5 ÷ 5
x = 1
A) as the exponent decreases by one, the number is divided by 5
B) as the exponent decreases by one, the number is divided by 4
C) as the exponent decreases by one, the number is divided by 3
D) 4⁰ = 4 ÷ 4 = 1
4⁻¹ = 1 ÷ 4 = 
4⁻² = ÷ 4 = 
E) 3⁰ = 3 ÷ 3 = 1
3⁻¹ = 1 ÷ 3 = 
3⁻² = ÷ 3 = 
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).
Now we need to find about which of the given statements describes the number and nature of all roots for this function.
We know that imaginary roots always occur in conjugate pairs.
So if (4+i) is root then (4-i) must also be the root.
So now we have total 4 roots
-2, 2, (4+i) and (4-i).
Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs
So that means 5th root is real.
Hence correct choice is :
f(x) has three real roots and two imaginary roots.
The major axis of the eclipse is 12 units long
The given parameters can be represented as:
See attachment for illustration
To solve this question, we make use of the following theorem
The distance between a point and the foci sums up to the major axis
This translates to:
28/4 = 7,
36/4 = 9,
Place the 7 over the 9 and you get 7/9!
