In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.
<h3>What is quadratic equation?</h3>
A quadratic equation is the equation in which the highest power of the variable is two.
Here, The first few steps in deriving the quadratic formula are shown in the table.
Use the substitution property of equality to solve it further,
-c=-ax² +bx
Now factor out the term a, to solve further as,
- c = a (x² + b/a x)
for half of the b value and square it to determine the constant of the perfect square trinomial as,
(b/2a)² = b²/4a²
Now the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
-c + b²/4a² = a(x² + b/a x + b²/4a² )
Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
Learn more about Quadratic equation from:
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Volume of a cylinder = πr²h
1256 = (3.14) x (r)² x (13)
1256 = 40.82r²
r² = 1256 ÷ 40.82
r² = 30.769
r = √30.69
r = 5.547
Diameter = Radius x 2
Diameter = 5.547 x 2
Diameter = 11.09 units (nearest hundredth)
V = s²h
<span>150 = s²h </span>
<span>150 = s²(3/2)s </span>
<span>(2/3)150 = s³ </span>
<span>100 = s³ </span>
<span>s = ∛100 (approx 4.642 in) </span>
Answer:
0.66
Step-by-step explanation:
The exponential growth equation is expressed as;
S(t) = S0e^kt
S(t) is the number of stores after t years
S0 is the initial number of stores
If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;
2 = S0e^k(1)
2 = S0e^k .... 1
Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;
206 = S0e^k(1)
206 = S0e^8k .... 2
Next is to calculate the value of k
Divide equation 2 by 1;
Hence the value of k to the nearest hundredth is 0.66
