Answer:
1. Let n represents the number of weeks she needs to make at least 28 costumes,
Since, she can make 4 costumes each week,

i.e. In number line closed circle on 7 and shaded right from 7.
2. If the maximum time taken by her is 10 weeks,
⇒ n ≤ 10 ----(2),
From equation (1) and (2),

I.e. closed circle on both 7 and 10 and shaded right from 7 and shaded left from 10.
Answer:
The answer to your question is
a) 400
b) The function has two real solutions (-2 and 8)
Step-by-step explanation:
Process
1.- Discriminant = b² - 4ac
= 12² -4(-2)(32)
= 144 + 256
= 400
2.- Solutions (using the general formula)
x = 
x = 
x = 
x₁ = 
x₂ = 
This function has two real solutions (-2, 8)
Answer:
(x +3)^2 +(y -4)^2 = 52
Step-by-step explanation:
The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
We are given the value of (h, k), and we can find the value of r^2. Using the values of h and k, our equation is ...
(x +3)^2 +(y -4)^2 = r^2
Since we know this equation is satisfied by the point (1, -2), we can use this point in the equation to find r^2:
(1 +3)^2 +(-2 -4)^2 = r^2
16 +36 = r^2 = 52
The equation of the circle is ...
(x +3)^2 +(y -4)^2 = 52