Answer:
(1)
Karen:
Alice:
(2): Slope is 2
(3) y intercept
--- For Karen
--- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
Solving (1): Complete the equation.
For Karen:
--- the rate
--- additional spendings
For Alice:
--- the rate
--- additional spendings
The general equation is;
For Karen, it becomes
For Alice, it is:
(2): The slopes.
In (1), we have:
--- the rate (for both Karen and Alice).
This rate implies the slope.
<em>Hence, the slope is 2</em>
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
--- For Karen
--- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
Subtract both equations
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
<em>Hence, it is not possible to spend the same amount for the same number of loaves</em>
Answer:
y+6=-1/2(x-3)
Step-by-step explanation:
Point slope form: y-y1=m(x-x1)
Given that:
m=-1/2 and point (3, -6), you just add these numbers into the equation, and this gives:
y+6=-1/2(x-3)
Hope this helped!
Have a nice day!
Answer:
16 , step 2 is written incorrectly but I think they want it to be 4 & 19, step 3 is 4 & 19. BTW this is a poorly written question!
An <em>exponential function</em> is one that has the variable in the exponent of an algebraic expression.
is an exponential function. The base (a) does not need to be a constant, but usually is for the functions we study. The exponent here is a linear function of x, but can be any* function of x, including another exponential function.
The number of forms of exponential functions that we can solve is somewhat limited, so our study is usually restricted to those forms. For example, in general, we cannot use algebraic methods to solve equations that involve sums of polynomial and exponential functions, such as ...
___
* if the exponent is a log function, simplification may result in something that is not actually an exponential function. For example, e^(ln(x)) = x, a linear function.
Answer:
a) 166x.
Step-by-step explanation:
167x - x
= 166x.