Answer:
D) -5x
Step-by-step explanation:
-5x is a like term to 8x because the alphabet at the back of the coefficient is x and are the same. Therefore the answer is option D
Answer:
y = 2x − 1
Step-by-step explanation:
By eliminating the parameter, first solve for t:
x = 4 + ln(t)
x − 4 = ln(t)
e^(x − 4) = t
Substitute:
y = t² + 6
y = (e^(x − 4))² + 6
y = e^(2x − 8) + 6
Taking derivative using chain rule:
dy/dx = e^(2x − 8) (2)
dy/dx = 2 e^(2x − 8)
Evaluating at x = 4:
dy/dx = 2 e^(8 − 8)
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Now, without eliminating the parameter, take derivative with respect to t:
x = 4 + ln(t)
dx/dt = 1/t
y = t² + 6
dy/dt = 2t
Finding dy/dx:
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t) / (1/t)
dy/dx = 2t²
At the point (4, 7), t = 1. Evaluating the derivative:
dy/dx = 2(1)²
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Answer:
Desiree answered 40 questions correctly
Step-by-step explanation:
Let
x = number of questions answered correctly
y = number of questions unanswered
z = number of wrong answers unanswered
The system of equations can be expressed
x + y + z = 50
3*x - 0.5*y -1*z = 110
Desiree did not leave any question unanswered
This means that the equations become
y = 0
x + z = 50
3*x -z = 110
If we add them together, we get
4x = 160
x = 40
z = 10
She answered 40 questions correctly
The answer is 7^12
This is because since they both have the same base, you just have to subtract the powers.
