Here is your inequality.
n - 8 < 10
Add 8 to each side.
n < 18
We are given the following data
x y
1 4.5
2 6.75
3 10.125
4 15.1875
To get the multiplicative rate of change, we pick out two pairs of data so,
MROC = 6.75/4.5 / (2 - 1)
MROC = 1.5
The answer is 1.5
Answer:
u = x tan(A) - sec(A) sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2) or u = sec(A) sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2) + x tan(A)
Step-by-step explanation:
Solve for u:
(x sin(A) - u cos(A))^2 + (x cos(A) + y sin(A))^2 = x^2 + y^2
Subtract (x cos(A) + y sin(A))^2 from both sides:
(x sin(A) - u cos(A))^2 = x^2 + y^2 - (x cos(A) + y sin(A))^2
Take the square root of both sides:
x sin(A) - u cos(A) = sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2) or x sin(A) - u cos(A) = -sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2)
Subtract x sin(A) from both sides:
-u cos(A) = sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2) - x sin(A) or x sin(A) - u cos(A) = -sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2)
Divide both sides by -cos(A):
u = x tan(A) - sec(A) sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2) or x sin(A) - u cos(A) = -sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2)
Subtract x sin(A) from both sides:
u = x tan(A) - sec(A) sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2) or -u cos(A) = -x sin(A) - sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2)
Divide both sides by -cos(A):
Answer: u = x tan(A) - sec(A) sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2) or u = sec(A) sqrt(x^2 + y^2 - (x cos(A) + y sin(A))^2) + x tan(A)
2 hours = 60*2 = 120 minutes
120/120 = 1
Margie handed out 1 flyer every minute
Jaxon handed 18/15 = 1.2 flyers per minute
so Jaxon is faster
Answer:
y = 1/2x + 3/2
Step-by-step explanation:
Using the equation of the line
y - y_1 = m ( x - x_1)
First find the slope of the line
-2x + 4y = 8
It must be in this form
y = mx + C
4y = 8 + 2x
divide through by 4
4y/4 = 8 + 2x / 4
y = 8 + 2x/4
Let's separate
y = 8/4 + 2x/4
y = 2 + 1/2x
y = 1/2x + 2
Therefore, our slope or m is 1/2
Using the equation of the line
y - y_1 = m ( x - x_1)
With point (-5, -1)
x_1 = -5
y_1 = -1
y - (-1) = 1/2(x - (-5)
y + 1 = 1/2( x + 5)
Opening the brackets
y + 1 = x + 5 / 2
y = x + 5/2 - 1
Lcm is 2
y = x + 5 / 2 - 1/1
y = x + 5 -2/2
y = x +3/2
We can still separate it
y = x /2 + 3/2
y = 1/2x + 3/2
The equation of the line is
y = 1/2x + 3/2
The correct answer is A
