Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is 
, the slope is of 
, and the function is:
For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is 
, the slope is of 
, and the function is:
The plans cost the same for x minutes of calling, considering that:
The two plans cost the same for 5000 minutes of calling.
To learn more about linear functions, you can take a look at brainly.com/question/24808124
Answer:
x = -5/2
Step-by-step explanation:
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
Answer:
Step-by-step explanation:
Hello!
The expression is written in the form of 
Let's factor by grouping:
The sum of the factors of -50 should add up to -23.
-25 and 2 work for this.
Expand and factor:
The factored expression is
Answer:
The function f(x) when x=x-4 is 
or 
Step-by-step explanation:
Given function f is defined by 
Now to find the function f(x-4):
Put x=x-4 in the above function we get
(using the formula 
)
(adding the like terms)
Therefore or
The function f(x) when x=x-4 is or
