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.
Function: 12+0.5x
12+0.5x=18.5
0.5x=6.5
x=13 days
Answer:
3 hours
Step-by-step explanation:
you take the amount that was earned and divide it by the amount he works.
then to find the number of hours he would have to work next week to earn $43.80 you divide the amount per hour by the amount he would have to work next week.
Answer:
OPTION B
Step-by-step explanation:
<h2>
3a - 5</h2>
3 and 'a' are multiplied and 5 is subtracted from the result.
OPTION B says 5 less than 3 times a number would fit perfectly.
Other options talk about adding or taking ratios and clearly do not fit the case.
Hence, the right answer is Option B.
