Answer:
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
Step-by-step explanation:
1)
Adding 7 to both sides
=> 2x > 3+7
=> 2x > 10
Dividing both sides by 2
=> x > 5
2)
Subtracting 11 to both sides
Multiplying both sides by 4
x ≥ -3 * 4
x ≥ -12
3) -6x+7 ≥ 19
Subtracting 19 to both sides
=> -6x ≥ 19-7
=> -6x ≥ 12
Dividing both sides by -6
=> x ≤ -2
4) -10 + 4x > 50
Adding 10 to b.s
=> 4x > 50+10
=> 4x > 60
Dividing b.s by 4
=> x > 15
5)
=> x < 4*-2
=> x < -8
6) 8 - 2x ≤ 46
Subtracting 8 from b.s
=> -2x ≤ 46-8
=> -2x ≤ 38
Dividing b.s by -2
=> x ≥ -19
7) -13x+1 ≤ -25
Subtracting 1 from both sides
=> -13x ≤ -25-1
=> -13x ≤ -26
Dividing both sides by -13
=> x ≥ 2
8)
Adding 7 to b.s
=> x/3 > -4+7
=> x/3 > 3
Multiplying 3 to b.s
=> x > 3*3
=> x > 9
9) -9x-19 ≥ 17
Adding 19 to both sides
=> -9x ≥ 17+19
=> -9x ≥ 36
Dividing both sides by -9
=> x ≤ -4
10) 16 - x > 9
Adding x to both sides
=> 16 > 9 + x
Subtracting 9 from both sides
=> 16 - 9 > x
=> 7 > x
OR
=> x < 7
NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.
The quadratic formula is:
x=(-b±√(b^2-4ac))/(2a) for the quadratic of the form ax^2+bx+c
The discriminant is the (b^2-4ac) part of the quadratic formula.
Let d=(b^2-4ac). If:
d<0: There are no real roots.
d=0: There is one real root.
d>0: There are two real roots.
In this case the discriminant is:
(-6)^2-4*3*4
36-48
-12
Since -12<0 there are no real roots for the equation 3x^2-6x+4.
Answer:
Scientists would look for new evidence.
Step-by-step explanation:
Anytime scientists have different interpretations, they carry out more experments to look for new evidence. But this is after they must have tested their own hypothesis. If non of these are possible, they set out to get fresh evidences. Having different opinions would make them come up with new ideas with hope that their theories are valid. And it would also make them carry out more experiments for confirmation or for denial.
The temperature would drop about 190 degrees every hour.
760÷4= 190