Answer:
0 ≤ x ≤ 2
Step-by-step explanation:
A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.
In this question, the volume of the water is the dependent variable and the time taken is the independent variable. Let y represent the volume of the water and x represent the time taken. Therefore:
y = 0.75x
The domain of the function is the set of independent variable, it can be gotten by determining x when y is minimum and maximum. Hence:
For y = 0
0 = 0.75x
x = 0/ 0.75 = 0
For y = 1.5 gallon
1.5 = 0.75x
x = 1.5/0.75 = 2
Hence, the domain = 0 ≤ x ≤ 2
<span>Simplifying
X + 12 = 30
Reorder the terms:
12 + X = 30
Solving
12 + X = 30
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + X = 30 + -12
Combine like terms: 12 + -12 = 0
0 + X = 30 + -12
X = 30 + -12
Combine like terms: 30 + -12 = 18
X = 18
Simplifying
X = 18</span>
Answer:
28
Step-by-step explanation:
Since, Sum of triangle is equal to 180°
180 = 2x + 50 + 3x - 10
180 = 5x + 40
180 - 40 = 5x
140 = 5x
140/5 = x
28 = x
There is more than one way to solve this.
250° : 50min.
You can divide each side by ten for 5 minutes.
50/10 = 5 minutes
250/10 = 25°
Answer:
y=3x-8
Step-by-step explanation:
If the line is parallel to y=3x+3, that would mean that they would have the same slope of 3. Then, once you plug it back into the equation along with the point given, you would get 1=3(3)+b. Solve from there, and you get b= -8. In conclusion, your point slope formula comes out to be y=3x-8.
Hope this helps! :)
