Answer:
h(t) = -16t2 + 186t + 43
at the ground h = 0
hence; -16t2 + 186t + 43 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 186, c = 43 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.8 seconds to the nearest tenth (note that the negative root has no practical significance)
Step-by-step explanation:
Answer:
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Step-by-step explanation:
6 problems ÷ 2 hours = 3 problems per hour
12 problems ÷ 3 hours = 4 problems per hour
Answer:
m < 
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
Given a quadratic equation in standard form, y = ax² + bx + c
Then the value of the discriminant determines the nature of the roots
• For 2 real roots then b² - 4ac > 0
Given
y = 3x² + 7x + m ← in standard form
with a = 3, b = 7 and c = m, then
7² - (4 × 3 × m) > 0
49 - 12m > 0 ( subtract 49 from both sides )
- 12m > - 49
Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.
m <
(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence
