Step-by-step explanation:
(a×b^-3×c^-3)⁵ / (a^-3×b⁴×c⁴)^-5
let's look at the numerator (the top) first :
a⁵×b^-15×c^-15
and now the denominator (the bottom) :
a¹⁵×b^-20×c^-20
both divided are (due to the commutative rules of multiplication we can split this first into the parts of the individual variables, and then multiply them all with each other) :
a⁵/a¹⁵ = 1/a¹⁰
b^-15 / b^-20 = b^(-15 ‐ -20) = b⁵
c^-15 / c^-20 = c⁵
so we get as result :
b⁵c⁵/a¹⁰
Answer:
the slope is 3/2
the x intercept is (-1/3,0)
the y intercept is (0, 1/2)
Answer:
Molly's estimation was approximately correct.
Step-by-step explanation:
Given:
Diameter of bike tire = 2 feet
Also Given:
She estimated that for every turn of the tire, the bike traveled about 6 feet.
Estimated Distance traveled = 6 feet
We need to find that whether her estimation reasonable.
Solution:
Now we know that Distance traveled is equal to Circumference of tire.
Since Tire is in circular shape.
We can say that;
Circumference of the tire will be π times diameter.
framing in equation form we get;
Circumference of the tire = 
Now The actual distance traveled is 6.28 feet and Molly estimated as 6 feet.
Hence we can say that Molly's estimation was approximately correct.
A
The domain is -∞ < x < ∞
B
The range is -∞ < x ≤ 3
C
The graph is increasing from -∞ < y < 3
D
The graph is decreasing from 3 > y > -∞
E
The local maximum is at ( - 2, 3 )
F
There are no local minimums
2x -7=13 is an equation because it has an equal sign.