Answer:
x=14
Step-by-step explanation:
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
Answer:
Yes, this graph is absolutely right for the function y =
.
Step-by-step explanation:
firstly we will calculate amplitude, period, phase shift, and vertical shift.
Use the standard form
to calculate the values of amplitude, period, phase shift, vertical shift.
here a = 2
b = 2
c = 0
d = -3
Amplitude = |a| = 2
period =
=
= 
phase shift =
= 0
and vertical shift = d = -3
so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.
Answer:
whats the question?
Step-by-step explanation:
Answer:
5x + 2y + z
Step-by-step explanation:
The perimeter of a polygon is the sum of the lengths of all the sides of the polygon. This polygons has 8 sides. Their lengths are:
x, x, x, x, x, y, y, z
The perimeter of the polygon is the sum of the lengths shown above.
perimeter = x + x + x + x + x + y + y + z
The expression above can be simplified by combining like terms.
perimeter = 5x + 2y + z