Answer:
p = - , p = 1
Step-by-step explanation:
Given
1 - | 3p + 1 | = - 3 ( subtract 1 from both sides )
- | 3p + 1 | = - 4 ( multiply both sides by - 1 )
| 3p + 1 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
3p + 1 = 4 OR - (3p + 1) = 4
Subtract 1 from both sides
3p = 3 ( divide both sides by 3 )
p = 1
OR
- (3p + 1) = 4, that is
- 3p - 1 = 4 ( add 1 to both sides )
- 3p = 5 ( divide both sides by - 3 )
p = -
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
p = 1 : 1 - | 3 + 1 | = 1 - |4| = 1 - 4 = - 3 ← true
p = - : 1 - | - 5 + 1 | = 1 - | - 4 | = 1 - 4 = - 3 ← true
Thus the solutions are p = 1, p = -
Answer:
Tanya is reflect y axis and then 90 degrees.
Kurt is reflect over y=x
Have an amazing day! Hope This Helps :)
Answer:
first one is 90
second one is c
Step-by-step explanation:
First one
2·(3·3+6·3+6·3)=90
second one
if he puts in ten then takes out ten he just took out everything
A function
is periodic if there is some constant
such that
for all
in the domain of
. Then
is the "period" of
.
Example:
If
, then we have
, and so
is periodic with period
.
It gets a bit more complicated for a function like yours. We're looking for
such that
Expanding on the left, you have
and
It follows that the following must be satisfied:
The first two equations are satisfied whenever
, or more generally, when
and
(i.e. any multiple of 4).
The second two are satisfied whenever
, and more generally when
with
(any multiple of 10/7).
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when
is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.
Let's verify:
More generally, it can be shown that
is periodic with period
.
Answer:
Slope is -12.5
x-intercept is 75
y-intercept is 6
Step-by-step explanation:
See attached image