Answer:
Simplifying
x + 5 = 9x2 + x + 1
Reorder the terms:
5 + x = 9x2 + x + 1
Reorder the terms:
5 + x = 1 + x + 9x2
Add '-1x' to each side of the equation.
5 + x + -1x = 1 + x + -1x + 9x2
Combine like terms: x + -1x = 0
5 + 0 = 1 + x + -1x + 9x2
5 = 1 + x + -1x + 9x2
Combine like terms: x + -1x = 0
5 = 1 + 0 + 9x2
5 = 1 + 9x2
Solving
5 = 1 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
5 + -9x2 = 1 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
5 + -9x2 = 1 + 0
5 + -9x2 = 1
Add '-5' to each side of the equation.
5 + -5 + -9x2 = 1 + -5
Combine like terms: 5 + -5 = 0
0 + -9x2 = 1 + -5
-9x2 = 1 + -5
Combine like terms: 1 + -5 = -4
-9x2 = -4
Divide each side by '-9'.
x2 = 0.4444444444
Simplifying
x2 = 0.4444444444
Take the square root of each side:
x = {-0.666666667, 0.666666667}
Step-by-step explanation:
1. Find out interger A and B
A÷(-5)=6 A has to be a negative number (neg×neg=pos)
What divided by 5 equals 6? 30
So, therefore, -30÷(-5)=6 A=(-30)
6÷B=(-3) B is negative (pos×neg=neg)
6÷(-2)=(-3) So therefore, B= -2
2. Find quotient of interger A and B
(-30)÷(-2)=15
The answer is 15!
Answer:
7 Centimeters
Step-by-step explanation:
k=-36
Step-by-step explanation:
x inversely proportional to y
x=1k/y
where k = constant
x= -3, y= 12, k = ?
-3=k/12
k = -3 × 12
k = -36
Answer:
3mph
Step-by-step explanation:
Boat speed x
current speed 2
against current x-2 mph
with current x+ 2 mph
Distance= 5 miles
Time against + time with = 6 hours
5 /( x + 2 ) + 5 /(x - 2 ) = 6
LCD = (x - 2 ) ( x + 2 )
5 *( x - 2 ) + 5 (x + 2 ) = 6
5 x - 10 + 5 x + 10 = 6 ( x ^2 - 4 )
10 x = 6 x ^2 - 24
6 x ^2 - -10 x - 24
Find the roots of the equation by quadratic formula
a= 6 , b= -10 , c= -24
b^2-4ac= 100 + 576
b^2-4ac=676
x1=(10+26)/12
x1=3
x2=(10-26)/12
x2= -1.33
Ignore negative value
Speed of boat is 3 mph
