139.50/55.8=t
t=2.5 yrs simple interest
Answer:
A = –3
B = 7
Step-by-step explanation:
[(10x³y⁵)(4x²y¯²)/20x¯⁴yᵇ]ᵃ = y¹²/8x²⁷
The value of a and b can be obtained as shown in the attached photo.
Answer:
See below-
Step-by-step explanation:
It depends on if you are transforming O to P or P to O
O to P would be rotate counterclockwise translate down 4
using the point (-3,2) from P and it's corresponding point from O (6,3)
rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)
so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4
if you are transforming O to P is would be the opposite
rotate 90 clockwise and translate up 4
Answer:
n=0
Step-by-step explanation:
simplifying
6 = 1 + -8n + 5
Reorder the terms:
6 = 1 + 5 + -8n
Combine like terms: 1 + 5 = 6
6 = 6 + -8n
Add '-6' to each side of the equation.
6 + -6 = 6 + -6 + -8n
Combine like terms: 6 + -6 = 0
0 = 6 + -6 + -8n
Combine like terms: 6 + -6 = 0
0 = 0 + -8n
0 = -8n
Solving
0 = -8n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n' to each side of the equation.
0 + 8n = -8n + 8n
Remove the zero:
8n = -8n + 8n
Combine like terms: -8n + 8n = 0
8n = 0
Divide each side by '8'.
n = 0
Simplifying
n = 0
F(x) = x^2 + 2x -1
Domain all real number
Range: all real numbers equal or greater than -2.
To find the range you need to find the vertex of the parabole, which is (-1,-2) and use the fact that, given that the coefficient of x^2 is positive, the funcion open upwards (which means that the vertex is a global minimum).
To find the vertex you use the quadratic formula to find the roots and then the x-coordinate of the vertex is in the middle of the two roots.
