Answer:
Step-by-step explanation:
y=-2x-4
y=5x+5
------------
-2x-4=5x+5
-2x-5x-4=5
-7x-4=5
-7x=5+4
-7x=9
x=9/-7
x=-9/7
y=5(-9/7)+5
y=-45/7+35/7
y=-10/7
Answer: x=-9/7, y=-10/7. (-9/7, -10/7).
----------------------------------------------------
-3x+y=8
2y=6x-10
----------------
6x-2y=10
-3x+y=8
-------------
y=8-(-3x)=8+3x
6x-2(8+3x)=10
6x-16-6x=10
-16=10
no solution
Answer: No Solution
--------------------------------
2y=4(x+3)
y-2x=6
--------------
y=4x+12
y=2x+6
--------------
4x+12=2x+6
4x-2x+12=6
2x+12=6
2x=6-12
2x=-6
x=-6/2
x=-3
y=2(-3)+6=-6+6=0
Answer: x=-3, y=0. (-3, 0).
-------------------------------------
x+2y=4
4x-2y=16
---------------
5x=20
x=20/5
x=4
4+2y=4
2y=4-4
2y=0
y=0/2
y=0
Answer: x=4, y=0. (4, 0).
Answer: y=1/2 of the whole
Answer:
B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.
Step-by-step explanation:
Given
Phrase 1: 6 less a number y
Phrase 2: 6 less than a number y
<em>Mathematically,</em>
Phrase 1 can be represented as follows;

<em>Mathematically,</em>
Phrase 2 can be represented as follows;

<em>Since the representation of both phrases are the same, then option B answers the question.</em>
<em></em>
The amount of water in the pool after t minutes is modeled by the linear function
, hence it is a function of time.
A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:

- In which V(0) is the initial volume.
In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence
, and:

Which is a function of time.
To learn more about linear functions, you can take a look at brainly.com/question/13488309