Answer:
The solution is
.
Step-by-step explanation:
Given:
The inequality given is:

In order to simplify for 'x', we first isolate 'x' on one side.
Adding -4 on both sides, we get:

Now,
is an absolute value function which is defined as:

Therefore, the given inequality can be rewritten as:
and 
Therefore, the solution is
.
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.
Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.
So split the 2r into these two terms and group.
(5r^2 - 5r) + (7r - 7)
Factor both groups.
5r(r-1) + 7(r-1)
The factors of (r-1) can be added together to get the answer.
(r-1)(5r+7)
Answer:
x=4
Step-by-step explanation:
4x-3=x+9
4x-x-3=9
4x-x=9+3
3x=9+3
3x=12
3/3
12/3=4
x=4
Z=-3 is the correct answer. Use math papa if you need help with the steps on how we got z=-3
<em>Option:</em>
<em>a. for every 13 dogs, there are 25 cats.
</em>
<em>b. there are twice as many cats as dogs at the shelter.
</em>
<em>c. the shelter has more dogs than cats.
</em>
<em>d. there are 25 animals in the shelter.</em>
Answer:
a. for every 13 dogs, there are 25 cats.
<em></em>
Step-by-step explanation:
Represent Dogs with D and Cats with C;
So;

By comparison:


This implies that:
For every 13 D, there are 25 C
Hence: Option A is true