Answer:

Step-by-step explanation:
The given function is

To find the inverse, we interchange x and y to get:

We now solve for y by taking antilogarithm.

Therefore the inverse of the given exponential equation is the logarithm function

Answer:
D.
Step-by-step explanation:
72-44
Answer:
(t−7)(t+11)
Step-by-step explanation:
Let's factor t2+4t−77
t2+4t−77
The middle number is 4 and the last number is -77.
Factoring means we want something like
(t+_)(t+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 4
Multiply together to get -77
Can you think of the two numbers?
Try -7 and 11:
-7+11 = 4
-7*11 = -77
Fill in the blanks in
(t+_)(t+_)
with -7 and 11 to get...
(t-7)(t+11)
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
Answer:
d = 7
Step-by-step explanation:
(1,-8), (1,-1)
Sqrt[(1-1)^2+(-8 - - 1)^2]
Sqrt[(0)+(-8+1)^2]
Sqrt(-7)^2 = 7
d = 7