Answer:
Tank A fills up faster.
Step-by-step explanation:
Tank A is y = 13x
Tank B is y = 11x
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Answer:
The second, third and fourth are parallel to the given equation
Step-by-step explanation:
In order to determine if the slopes are the same, put all of the equations in slope-intercept form: y = mx + b. In order for lines in this form to be parallel, the m values of each have to be the exact same number, in our case, 4. Equation 2 has a 4 in the m position, just like the given, so that one is easy. Equation 2 is parallel.
Let's solve the third equation for y:
12x - 3y = 6 so
-3y = -12x + 6 and
y = 4x - 2. Equation 3 is parallel since there is a 4 in the m position.
Let's solve the fourth equation for y:
-20x + 5y = 45 so
5y = 20x + 45 and
y = 4x + 9. Equation 4 is also parallel since there is a 4 in the m position.
Answer: The correct answer is 18cm
Step-by-step explanation:
Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)
Answer:
Option B
Step-by-step explanation:
Taking the derivative of the residual function, then applying the normal equation:
[a; b] = (X'*X)^(X'*y)
with
X = [1 1; 2 1; 3 1; 4 1; 5 1]
X' is transpose of X
y = [11; 8; 4; 1; 0]
[a; b] = [-2.9 13.5]
