Answer:
c) 10
Step-by-step explanation:
3(2t +5) = 5t + 25
distribute the 3 into the parentheses
6t + 15 = 5t + 25
subtract 5t from both sides
t + 15 = 25
subtract 15 from both sides
t = 10
Answer:The final solution is all the values that make
x
(
x
−
16
)
=
0
true.
explanation:
Factor x out of
x
^2
−
16
x
.
Factor x out of x
2
.
x
⋅
x
−
16
x
=
0
Factor x out of
−
16
x
.
x
⋅
x
+
x
⋅
−
16
=
0
Factor x out of x
⋅
x
+
x
⋅
−
16
.
x
(
x
−
16
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to 0
x
=
0
x
−
16
=
0
Set the first factor equal to 0
.
x
=
0
Set the next factor equal to 0
and solve.
Set the next factor equal to 0
x
−
16
=
0
Add 16 to both sides of the equation.
x
=
16
The final solution is all the values that make
x
(
x
−
16
)
=
0
true.
x
=
0
,
16
Answer:
17
Step-by-step explanation:
the rise is the new minus the old.
9 - -8 = 9+8 = 17
Given:
The height of an object, f(x), after x seconds is
To find:
The time taken be object to hit the ground.
Solution:
We have,
The object will hit the ground if the height is 0, i.e., f(x)=0.

Divide both sides by 2.


Taking square root on both sides.

Time cannot be negative. So, x=4.
Therefore, the object will hit the ground after 4 seconds.