Answer:
The second option (5x+14-4x=23+x-9)
Step-by-step explanation:
For an equation to have infinitely many solutions each side must be exactly the same when simplified.
12+4x=6x+10-2x
Combine alike terms.
12+4x=4x+10
Subtract 4x from each side
12=10
This is not true so this equation has no solutions.
5x+14-4x=23+x-9
Combine alike terms
x+14=14+x
subtract x from each side
14=14
This is true so this equation has infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
The 0.072 will be you're answer
1. Cross multiply
35x = 5(11)
35x = 55
Divide both sides by 35
x = 55/35
x = 11/7
2. (x - 2)/x = 3/8
Cross multiply
3x = 8(x - 2)
3x = 8x - 16
Subtract 8x from both sides
-5x = -16
divide both sides by -5
x = -16/-5
x = 16/5 OR 3 1/5
3. (a + 1)/(a - 1) = 5/6
cross multiply
6(a + 1) = 5(a - 1)
distribute
6a + 6 = 5a - 5
subtract 5a from both sides
a + 6 = -5
subtract 6 from both sides
a = -11
4. (1/3)x - 4 = (2/3)x + 6
multiply each term by 3 to clear the fractions
x - 12 = 2x + 18
subtract x from both sides
-12 = x + 18
subtract 18 from both sides
-30 = x
Answer:
D. x^2 +14x + 40
Step-by-step explanation:
(x+4)(x+10)
x^2+10x+4x+40
x^2+14x+40
