Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
<u>EXTRA BONUS!</u>
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form
y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
Answer:
Step-by-step explanation:
Let
n -----> number of tickets
C ----> represent the cost of buy n tickets online
we have the ordered pairs
(1,16.50) and (2,30.50)
<em>Find out the slope of the linear equation</em>
The formula to calculate the slope between two points is equal to
substitute the values
<em>Find the equation of the line in slope intercept form</em>
we have
substitute
substitute
The domain of the function is all positive integers (whole numbers) including zero
{0,1,2,3,4,...}
Answer:
a b
m n
the 2nd one
Step-by-step explanation:
Answer:
2 bc cos A
Step-by-step explanation:
Cosine rule
Answer:
We want to simplify:
(3 + 1/4)*(3/5)
The first step is to write the first term as a single rational number.
We know that:
3*1 = 3
and 4/4 = 1
then:
3*1 = 3*(4/4) = (3*4)/4 = 12/4
We do this because we want to have the same denominator in both numbers, so we can directly add them.
Then we get:
(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)
And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:
(13/4)*(3/5) = (13*3)/(4*5)
If we solve the multiplications we get:
(13*3)/(4*5) = (39/20)
Now, we can notice that in the numerator we have two prime numbers, 13 and 3.
And in the denominators, we have a 4 (which is equal to 2*2) and a 5.
So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.
Then we have:
(3 + 1/4)*(3/5) = (39/20)
