X² + y² - 4 x + 2 y = b
x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1
( x - 2 )² + ( y + 1 )² = b + 5
y - coordinate of the center of the circle is: y = - 1
b + 5 = r
b + 5 = 7
b = 7 - 5
b = 2
Answer:
The answer is "
".
Step-by-step explanation:
please find the complete question in the attached file.

![=\frac{1}{10} (\frac{x^3}{3})^{5}_{-5}\\\\=\frac{1}{30}[5^3+5^3]\\\\=\frac{2}{30}(125)\\\\=\frac{1}{15} \times 125\\\\=\frac{25}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B10%7D%20%28%5Cfrac%7Bx%5E3%7D%7B3%7D%29%5E%7B5%7D_%7B-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B30%7D%5B5%5E3%2B5%5E3%5D%5C%5C%5C%5C%3D%5Cfrac%7B2%7D%7B30%7D%28125%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B15%7D%20%5Ctimes%20125%5C%5C%5C%5C%3D%5Cfrac%7B25%7D%7B3%7D)
Answer:
t ≤ 3 ; kindly check explanation for more explanation
Step-by-step explanation:
Given that :
Number of tulip (t) =?
Cost of bulb = $1.50
Pot for each bulb purchased at =$1.25
Bag of potting soil = $10.00
Number of tulip bulb that can be purchased without spending more than $20
Cost of tulip bulb = [(cost per bulb + cost per pot) * number purchased (t) + cost of bag of potting soil]
Cost = [(1.50 + 1.25)t + 10]
If spending should not exceed $20
2.75t + 10 ≤ 20
2.75t ≤ 20 - 10
2.75t ≤ 10
t ≤ 10/2.75
t ≤ 3.64
He cannot purchase more than 3 tulip bulbs
Anika cannot buy exactly enough tulip bulbs an pot to spend the full $20 because the number obtained is a fraction and not a whole number.