2. Distributive property (multiplying the -2 to the items in parentheses)
3. Subtraction property (subtracting 8 from 3)
4. Addition property (adding 5 to both sides)
5. -4x = 16 (subtracting 6x from both sides)
6. x = -4 (dividing both sides by -4)
Answer:
x = 1/4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
1/625
Step-by-step explanation:
Exponent Rule: 
Exponent Rule: 
5⁻⁸ · 5⁴ = -8 + 4 = -4
5⁻⁴
1/5⁴
1/625
The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).
Answer:
130 milliliters.
Step-by-step explanation:
a drug has a ratio of 115mg:5ml. This is equivalent to 23mg:1ml. 3g=3000mg, so we divide 3000 by 23 to get 130.434783. That is how many milliliters are needed. We round it to get 130 mL.
