Answer:
3.3 x 10⁻⁴
Step-by-step explanation:
Given expression:

To solve this problem;
10° = 1
So;

=
x 10⁻³
= 0.33 x 10⁻³
= 3.3 x 10⁻¹ x 10⁻³
= 3.3 x 10⁻⁴
Factors of 15: 1, 3, 5, 15
<span>Factors of 45: 1, 3, 5, 9, </span>15, 45
<span>The Greatest common factor is 15.</span>
Answer:

Step-by-step explanation:
Quadratic function is given as 
Let's find a, b and c:
Substituting (0, 6):



Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.
Substituting (2, 16), and c = 6








=> (Equation 1)
Substituting (3, 33), and c = 6








=> (Equation 2)
Subtract equation 1 from equation 2 to solve simultaneously for a and b.


Replace a with 4 in equation 2.
The quadratic function that represents the given 3 points would be as follows:



each person will get 5 hot dogs.
Step-by-step explanation:
Total number of Hot dogs =43
Total number of people at party= 8
Each person will get hot dogs= 
Each person will get hot dogs= 
Each person will get hot dogs= 5.37 or ≈ 5
So, each person will get 5 hot dogs.
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Answer:
x = - 5, y = - 9
Step-by-step explanation:
Given
x + 9i = - 5 - yi
For the 2 sides to be equal then the coefficients of like terms must be equal.
x = - 5 and 9 = - y ⇒ y = - 9