<u>Answer:</u>
x = ±5
<u>Step-by-step explanation:</u>
We are given the following polynomial function and we are to find all of its real roots:

Let
so we can now write it as:

Factorizing it to get:



Substitute back
to get:

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.
Answer:
a. (x + 4)² + (y – 7)² = 3²
Step-by-step explanation:
General equation for a circle is:
(x – h)² + (y – k)² = r²
h and k are the center (h, k), and r is the radius.
They want a center of (-4, 7) so h=-4 and k=7
They want a radius of 3 so r=3
plug it into the equation.
(x – h)² + (y – k)² = r²
(x – (-4))² + (y – (7))² = (3)²
(x + 4)² + (y – 7)² = 3²
Answer:
becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2
Answer:
1. D
2. y = 15.50x + 450
Step-by-step explanation:
1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.
2. x > (y - 450)/ 15.50
i) Rita gets paid $450 per week.
ii) She gets $15.50 for every new membership she sells.
iii) let y represent the total pay per week.
iv) let x represent the number of new memberships sold.
v) the equation representing total pay is y = 15.50x + 450.
vii) therefore the equation that represents a higher rate of membership sold is given by x > (y - 450)/ 15.50