Answer:
(1,1)
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. By definition, the rate of change of a linear function is the slope of the line and it is constant. Based on this, you must find the slope of the given function.
2. You have the equation of the line has the following form:

Where
is the slope and
is the y-intercept.
3. Then, you have that the slope of the function
is:

Therefore, the answer is: 
I will try to solve your system of equations.
3
x
−
4
y
=
2
;
9
x
−
12
y
=
6
Step: Solve
3
x
−
4
y
=
2
for x:
3
x
−
4
y
+
4
y
=
2
+
4
y
(Add 4y to both sides)
3
x
=
4
y
+
2
3
x
3
=
4
y
+
2
3
(Divide both sides by 3)
x
=
4
3
y
+
2
3
Step: Substitute
4
3
y
+
2
3
for
x
in
9
x
−
12
y
=
6
:
9
x
−
12
y
=
6
9
(
4
3
y
+
2
3
)
−
12
y
=
6
6
=
6
(Simplify both sides of the equation)
6
+
−
6
=
6
+
−
6
(Add -6 to both sides)
0
=
0
Answer:
Infinitely many solutions.
Juan's time = x
Yumi's time = x + 2
Yumi's distance = 3 miles
Juan's distance = 2 miles
Rate = distance/time
Juan's rate = 2/x
Yumi's rate = 3/(x + 2)
The rates are equal so:
2/x = 3/(x + 2)
2x + 4 = 3x
x = 4 hours
Yumi's time = 4 + 2 = 6 hours
The answer is D.
Answer:
You didn't provide answer options. The correct answer option will be the one where the ratio of red paint to yellow paint is 3:8.
Step-by-step explanation:
To make orange, you need some amount of red and some amount of yellow. As long as you mix them in the same proportions, you will get the same orange colour, regardless of how much total paint you're using. It's the RATIO between colours that matter, not how much colour is used.
In this case we are told that to make orange you can use any of the following combinations:
10.5mL red / 28mL yellow
9mL red / 24mL yellow
7.5mL red / 20mL yellow
Just take any of these and convert into a fraction. The middle option is easiest because it uses whole numbers:

This means for every 3 units of red, you need 8 units of yellow. Whichever answer option has red and yellow in that ratio is the correct answer.