X + y + z = 2
x - y + 5z = 6
cancelando +y com -y:
x + z = 2*(-5)
x + 5z = 6
-5x -5z = -10
...x +5z = 6
---------------------
-4x = -4 *(-1)
4x = 4
x = 4/4
x = 1
x + z = 2
1 + z = 2
z = 2 - 1
z = 1
x + y + z = 2
1 + y + 1 = 2
2 + y = 2
y = 2 - 2
y = 0
S: {x, y, z} = {1, 0, 1}
Step-by-step explanation:
We're going to be evaluating if we can round 2. (Values in the 10's place)
The value in the 'ones' place has to be greater than or equal to 5 in order to round up 2.
Since 8 is greater than 5, we can round up 2.
<u>Rounded answer:</u>
38830
1. 5.50 + 0.15 * 45 = 12.25
2. 4 + 0.20 * 45 = 13
So the first option is slightly better, you can save 13-12.25= $0.75.
Answer:
<em>Yes, this is a linear function because the rate of change is constant</em>
Step-by-step explanation:
<u>Linear Functions</u>
We can recognize a linear relation between variables x and y when they can be represented by a formula like
y=mx+b
Where m is the rate of change and it has a constant value. More specifically, a proportional relationship is a special case where b=0, meaning that every value of y divided by the corresponding value of x, is constant.
The situation described in the question says a bathtub is being filled at a rate of 4 liters per minute. It means that every minute, 4 liters are constantly being added to the existing quantity. This is a constant rate of change, so the correct answer is
"Yes, this is a linear function because the rate of change is constant"
Answer:
1. 15
2. -23
3. -16
Step-by-step explanation:
1. Find h(-8)
h(t) = 
h(-8) = 
h(-8) = 
2. What is the value of g(-3)
g(x) = 4(x - 5) + 
g(-3) = 4(-3 - 5) 
g(-3) = 4(-8) + 9
g(-3) = -32 + 9
g(-3) = -23
3. Find f(10)
f(x) = 14 - 3x
f(10) = 14 - 3(10)
f(10) = 14 - 30
f(10) = -16