Answer: 
Step-by-step explanation:
Given :
re - writing the equation , we have
we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.
The formula for finding the quadratic equation when the roots are known is :
- sum of roots(x) + product of root = 0
sum of roots = -2 + 4 = 2
product of roots = -2 x 4 = -8
substituting into the formula , we have:
, which could be written in inequality form as
comparing with , it means that :
Answer:
7/10
Step-by-step explanation:
67/10-60/10=7/10
<span>8(t + 2) - 3(t - 4) = 6(t - 7) + 8
To solve this equation, first apply the Distributive Property. The Distributive Property is defined as a(b + c) = ab + ac. We'll need to apply it three times for this equation.
8(t + 2) => 8t + 16
-3(t - 4) => -3t + 12
6(t - 7) => 6t - 42
This gives us
</span>8(t + 2) - 3(t - 4) = 6(t - 7) + 8
8t + 16 - 3t + 12 = 6t - 42 + 8
Next, combine like terms (constants with constants and variable terms with variable terms).
8t + 16 - 3t + 12 = 6t - 42 + 8
5t + 28 = 6t - 34
Now we need to get all constants on one side and all variable terms on the other side. Begin doing so by first subtracting 28 from both sides.
5t + 28 = 6t - 34
5t = 6t - 62
Subtract 6t from both sides.
5t = 6t - 62
-t = -62
Divide both sides by -1.
t = 62
Answer:
t = 62
Answer:
none of them (-9 - 4 would work if it were an option)
Step-by-step explanation:
-9 + (-4) = -13
Assuming that the expression equals 0
3x+9=0
Subtract 9
3x= -9
-9/3= -3
x= -3
