Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
= 
= 
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
X = total amount paid
y = number of tickets
z = number of bags
your equation:
x = 10y + 5z + 3
hope this helps
14.99*.12=1.80
14.99-1.8=13.19
13.19*.0625=.94
13.19+.94=14.13
final price 14.13
Answer: The answer would be x < 10/7
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
7*x (10)>0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
7x - 10 = -1 • (7x + 10)
Equation at the end of step
1
:
STEP 2
:
2.1 Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
7x+10 < 0
2.2 Divide both sides by 7
x+(10/7) < 0
Solve Basic Inequality :
2.3 Subtract 10/7 from both sides
x < 10/7
Inequality Plot :
2.4 Inequality plot for
7.000 x - 10.000 > 0
One solution was found :
x < 10/7
