Answer:
Step-by-step explanation:
6a(3-4y)+16b(3-4y)
(6a-16b)(3-4y)
2(3a-8)(3-4y)
Answer:
196
Step-by-step explanation:
The discriminant (Δ) is given by:

Where the polynomial is in the form:

In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:

Thus, the discriminant of x² – 49 = 0 is 196.
Answer:
t=0.64
Step-by-step explanation:
h = -16t^2 +4t +4
We want h =0 since it is hitting the ground
0 = -16t^2 +4t +4
Using the quadratic formula
a = -16 b = 4 c=4
-b ± sqrt( b^2 -4ac)
----------------------------
2a
-4 ± sqrt( 4^2 -4(-16)4)
----------------------------
2(-16)
-4 ± sqrt( 16+ 256)
----------------------------
-32
-4 ± sqrt( 272)
----------------------------
-32
-4 ± sqrt( 16*17)
----------------------------
-32
-4 ± sqrt( 16) sqrt(17)
----------------------------
-32
-4 ± 4 sqrt(17)
----------------------------
-32
Divide by -4
1 ± sqrt(17)
----------------------------
8
To the nearest hundredth
t=-0.39
t=0.64
Since time cannot be negative
t=0.64
Step one: multiply and divide in order.
Step two: add and subtract like terms.
Step three: get X alone on one side (what you do to one side you have To do to the other side)
Step four: simplify and solve :)
Answer:
42 feet
Step-by-step explanation: