Answer:
Problem:
Solve 3x−y=6;y=x−4
Steps:
I will try to solve your system of equations.
y=x−4;3x−y=6
Step: Solvey=x−4for y:
Step: Substitutex−4foryin3x−y=6:
3x−y=6
3x−(x−4)=6
2x+4=6(Simplify both sides of the equation)
2x+4+−4=6+−4(Add -4 to both sides)
2x=2
2x
2
=
2
2
(Divide both sides by 2)
x=1
Step: Substitute1forxiny=x−4:
y=x−4
y=1−4
y=−3(Simplify both sides of the equation)
Answer:
y=−3 and x=1
Step-by-step explanation:
Hope this helped you
To find the mean (average), we first need to add up all the test scores (14 + 19 + 19 + 20 + 16 + 18 + 15 + 17 + 12 = 150). Then, we need to divide that number (150) by the number of numbers in the data set (9 in this case). So the mean of these test scores is about 16.6666666667.
It is 10 which is b so that’s the right answer
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:

We can find the base by solving equation (1) for b:

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
Answer is (4x³ - 6)(16x² + 36 + 24x³)