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:
They can expect to make $524
Step-by-step explanation:
Lets solve the problem
The form of the linear function is f(x) = m x + b, where m is the slope of the line and b is the y-intercept (value f(x) at x = 0)
∵ The student decided to use the points (0.5, 20) and (3, 150)
to make a better regression equation
- She calculated the slope of the line using the two points
∵ 
- She substituted the value of m in the form above
∴ f(x) = 52 x + b
- Than she find that the best value of f(x) at x = 0 is 4
∴ f(x) = 52 x + 4
∵ x represents the number of hours
∵ y represents the money
∵ The family decides to extend the yard sale to be 10 hours long
- That means substitute x by 10 in f(x)
∵ x = 10
∴ f(10) = 52(10) + 4
∴ f(10) = 520 + 4
∴ f(10) = 524
∴ They can expect to make $524
All the interior angles are right angles
Edited answer:
________________
-3.0 <span>÷ 1 = 3.0 ; is an answer.</span>
Answer:
x = 5
Step-by-step explanation:
Given
9x - 3 - 8x = 7 - x , that is
x - 3 = 7 - x ( add x to both sides )
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5