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
Answer: X = 20
Step-by-step explanation:
7x - 99 = 2x + 1 --Take 2x from both sides
-2x -2x
5x - 99 = 1 -- add 99 to both
+99 +99
5x = 100 --Divide by 5
÷5 ÷5
x = 20
Step-by-step explanation:
hope it's helpful.........
Answer:
The answer to your question is x = 14.7
Step-by-step explanation:
Data
∠A = 20°
∠B = 46
a = 7
b = x
Process
To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.
The law of sines for this problem is
x / sin 46 = 7 / sin 20
-Solve for x
x = 7 sin 46 / sin 20
-Simplification
x = 7 (0.719) / 0.342
x = 5.035/0.342
-Result
x = 14.7
675 : 5 = 135
135 : 5 = 27
27 : 3 = 9
9 : 3 = 3
3 : 3 = 1
675 = 5 · 5 · 3 · 3 · 3 = 5² · 3³
