Answer:
Step-by-step explanation:
Given a general quadratic formula given as ax²bx+c = 0
To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;
Step 1:
Bringing c to the other side
ax²+bx = -c
Dividing through by coefficient of x² which is 'a' will give:
x²+(b/a)x = -c/a
- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:
x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a + b²/4a²
- Taking the square root of both sides
√(x+b/2a)² = ±√-c/a + b²/√4a²
x+b/2a = ±√(-4ac+b²)/√4a²
x+b/2a =±√b²-4ac/2a
- Taking b/2a to the other side
x = -b/2a±√√b²-4ac/2a
Taking the LCM:
x = {-b±√b²-4ac}/2a
This gives the vertex form with how it is used to Solve a quadratic equation.
Answer:
He can buy <u>3 bracelets</u>.
Step-by-step explanation:
Given:
Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.
Now, to find the number of bracelets he can buy.
Let the number of bracelets he can buy be 
Price of each bracelets = 4.50.
Total amount to spend = 42.50.
Number of t-shirts = 29.
Now, to get the number of bracelets we put an equation:
<em>Subtracting both sides by 29 we get:</em>
<em />
<em />
<em>Dividing both sides by 4.50 we get:</em>
<u>The number of bracelets = 3.</u>
Therefore, he can buy 3 bracelets.
18 * 5 = 90
90 represents 100%, because there are 5 20% in 100%
In total there are 90 club members
80% = 71 do not have birthdays in the summer.
13x-9=16
+9 +9
13x= 25
---- -----
13x 13x
x=1.92
Add nine to both sides of equation to cancel out the negative nine. Then, divide both sides by 13, which will result in the answer listed above.
