Answer:
x = (7 + √133) / 6
Step-by-step explanation:
0 = log₉ (3x + 2) + log₉ (x − 3)
Use log rules:
0 = log₉ ((3x + 2) (x − 3))
Raise 9 to both sides:
1 = (3x + 2) (x − 3)
Simplify:
1 = 3x² − 7x − 6
0 = 3x² − 7x − 7
Use quadratic formula:
x = [ -(-7) ± √((-7)² − 4(3)(-7)) ] / 2(3)
x = (7 ± √133) / 6
Since x > 3:
x = (7 + √133) / 6
x ≈ 3.089
Answer:
D = 18 miles
Step-by-step explanation:
The coordinate of a library = (4,3)
The coordinate of the school = (-5,3)
We need to find the distance between the library and the school. We can use the distance formula i.e.
As the distance between each unit represents 2 miles. It means the distance is 2(9) = 18 miles
So, the correct option is (c).
Answer:
The solutions are:
x=2
x=−5
Explanation:
2x2+3x−10=0
hope this helps (:
Step-by-step explanation:
Answer:
B. 100π
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
The radius is 5
SA = 4 * pi * r^2
SA = 4 * pi * 25
SA = 100 pi
Answer:
f(-3)=-8
Step-by-step explanation:
plug -3 in as x
-4(-3+5)
12-20
-8
