Answer:
The general form of an exponential function is
.... (1)
Where, a is initial value and b is growth or decay factor.
If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.
The given function is
.... (2)
From (1) and (2) it is clear that
The value of a is 6. It means the initial value or y-intercept of the function is 6.
The value of b is 0.4, which is less than 1. It means the function is a decreasing function.
This is the concept of algebra, we are required to solve the given expression;
32^(2c)=8^(c+7)
this can be written as:
2^[5(2c)]=2^[3(c+7)
applying the natural logs we shall get
[5(2c)]ln2=[3(c+7)]ln2
The ln 2 will cancel on from both sides and we shall have:
5(2c)=3(c+7)
10c=3c+21
To make c the subject we begin by subtracting 3c from both sides
10c-3c=3c+21-3c
7c=21
dividing both sides by 7 we get:
(7c)/7=21/7
c=3
The answer is c=3
Answer:
1.8
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
(86-32)/(30-0)
54/30
1.8
Answer:
-2
Step-by-step explanation:
Answer:
the number of pints of blue paint did she use for painting her bedroom walls is 1.875 pints
Step-by-step explanation:
The computation of the number of pints of blue paint did she use for painting her bedroom walls is shown below:
= Total pint × blue paint
= 7.5 × (1 - 3 ÷ 4)
= 7.5 × 1 ÷ 4
= 1.875 pints
Hence, the number of pints of blue paint did she use for painting her bedroom walls is 1.875 pints