Answer:
use the distributive property to distribute the 8
-16+16n+3n=40+5n
-16+19n=40+5n
-16=40+5n-19n
-16=40-14n
-14n+40= -16
-14n= -16-40
-14n= -56
n= -56/-14
n= 4
Answer:
Step-by-step explanation:
Givens
Let the width = x
Let the length = x + 5
Equation
2w + 2W = P
Solution
2x + 2(x + 5) = 192 Remove the brackets <=== Answer
2x + 2x + 10 = 192 Combine like terms
4x + 10 = 192 Subtract 10 from both sides
4x = 192 - 10
4x = 182 Divide by 4
4x/4 = 182/4
x = 45.5
Answer:
As x ⇒-∞, P(x) ⇒ -∞
As x ⇒ ∞, P(x) ⇒ ∞
Step-by-step explanation:
To find left hand end behavior, plug in negative infinity into the function and evaluate...
P(x) = 3(-∞) = -3(∞) = -∞
The 'y' values of the function decrease towards negative infinity as the 'x' values approach negative infinity
P(x) = 3(∞) = ∞
The 'y' values of the function increase towards positive infinity as the 'x' values approach positive infinity
For this case we have the following inequality:

Subtracting 4 from both sides of the inequality we have:

Dividing between 7 on both sides of the inequality we have:

Thus, the properties used were:
Subtraction property
Division property
Answer:
Subtraction property
Division property
Answer:
<em>Slope - intercept form y = 5x+17</em>
<em>The equation of the parallel line to the given line is 5x-y +17=0</em>
Step-by-step explanation:
<u><em>Explanation</em></u>
The equation of the straight line is y= 5x+2
5x - y +2=0
The equation of the straight line is 5x-y+2=0
Given that the point(-3,2)
The equation of the parallel line to the given line is
5x -y +k=0
5(-3) - 2+k=0
-15 -2 +k =0
-17 +k=0
k =17
The equation of the parallel line to the given line is 5x-y +17=0
<u><em>Final answer:-</em></u>
<em>Slope - intercept form y = mx+c</em>
<em>Slope - intercept form y = 5x+17</em>