Answer:
Please find attached , the filled in boxes
The y-intercept is (0, 4)
Step-by-step explanation:
The given function is g(x) = ![4 \times (0.6)^x](https://tex.z-dn.net/?f=4%20%5Ctimes%20%280.6%29%5Ex)
The values of x are given as -10, -1, 0, 1, 2, 8
The values of g(x) are
g(-10) = 4 × 0.6⁽⁻¹⁰⁾ = 4 × (3/5)⁽⁻¹⁰⁾ = 4 × (5/3)⁽¹⁰⁾ = 661.53
g(-1) = 4 × 0.6⁽⁻¹⁾ = 4 × (3/5)⁽⁻¹⁾ = 4 × (5/3)⁽⁽¹⁾ = 20/3 =
g(0) = 4 × 0.6⁽⁰⁾ = 4 × (3/5)⁽⁰⁾ = 4 × 1 = 4
g(1) = 4 × 0.6⁽¹⁾ = 4 × (3/5)⁽¹⁾ = 12/5 = 2.4
g(2) = 4 × 0.6⁽²⁾ = 4 × (3/5)⁽²⁾ = 36/25 = 1.44
g(8) = 4 × 0.6⁽⁸⁾ = 4 × (3/5)⁽⁸⁾ = 0.0672
The y intercept is given at the point x = 0 which is g(0) = 4
The y-intercept is g(0) = 4
-16b+32
=-16(b-2)
Cheers,Irys
Answer:
y = -6 * x^3
Step-by-step explanation:
We can model the new function as:
f(x) = ax^3
the function y = x^3 have positive values of y for positive values of x, and negative values of y for negative values of x.
As the negative values of x have positive values of y and vice-versa, the first change is to put a negative sign in front of x^3, so we know that 'a' is negative.
Then, for x=1 we have y = -6, so:
-6 = a*1^3
a = -6
So the equation of the transformed function is:
y = -6 * x^3
Answer:
4v - 7w = (101 , -36)
6u -8v = (-78 , 58)
2u +v - 4w = (40 , -4)
11u + 3w = (-88 , 89).
Step-by-step explanation:
u(-5, 7) ; v(6 , -2) ; w(-11,4)
4v - 7w = (4*6+[-7]*[-11] , 4*[-2] + [-7]*4)
=(24+77 , -6 - 28)
4v - 7w = (101 , -36)
6u - 8v = (6*[-5]+[-8]*6 , 6*7+[-8]*[-2] )
= (-30-48 , 42+16)
6u -8v = (-78 , 58)
2u + v - 4w = (-10+6+44 , 14 -2 -16)
2u +v - 4w = (40 , -4)
11u + 3w = (11*[-5]+3*[-11] , 7*11 +3*4)
= (-55-33 , 77+12)
11u + 3w = (-88 , 89)