Answer:
the picture isnt popping up
Yes, Lord Vader !
2/3 x + 5 = 1/2
Multiply each side by 2 : 4/3 x + 10 = 1
Multiply each side by 3 : 4 x + 30 = 3 <== equivalent equation
without fractions
Subtract 30 from each side: 4x = -27
Divide each side by 4 : x = -27/4 = -6.75
Answer:
x = -4
Step-by-step explanation:
Step 1: Subtract 1/2x on both sides
-1/4x - 1/8 = 7/8
Step 2: Add 1/8 on both sides
-1/4x = 1
Step 3: Divide both sides by -1/4
x = -4
Answer: 
Step-by-step explanation:
Find the least common multiple (LCM) of the denominators. This is:

Divide the LCM by each denominator and multiply the result by each numerator, then you obtain:

Apply the distributive property, then you obtain:

Add like terms, then you obtain:

Answer:
m=12
Explanation:
Given any quadratic function, y=ax²+bx+c.
We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:

• If D>0, the roots are real and unequal.
,
• If D=0, the roots are real and equal.
,
• If D<0, the roots are complex.
In our given equation:

For the function to have exactly one zero, the value of D=0.

The value of m for which the function will have one zero is 12.