Answer:
1.Isolate y
3y=10-8x
y=10/3-8/3x
2.Put in correct format (y=mx+b)
y=-8/3x+10/3
y= -8/3x+10/3
slope is -8/3 and y-intercept occurs in 10/3 or 3.333
Answer:
y = - (x + 1)²
Step-by-step explanation:
Vertex form of a parabola is given by,
y = -(x - h)² + k
Where (h, k) is the ordered pair representing vertex.
(-) sign denotes that the parabola is opening downwards.
If the coordinates of the given parabola is (-1, 0)
Equation of the parabola will be,
y = - (x + 1)² + 0
y = - (x + 1)²
Therefore, equation of the parabola will be, y = - (x + 1)²
Okay. So t is in the parenthesis of the equations and represents the number of years after 1950. In this case, the first, second, third, and the seventh tile won't work, because those numbers are too big to be applicable as years. The number of vinyls sold each year would be put behind the equal sign. If you solve it correctly, here are your answers starting from the top:
1. f(8) = 68,594
2. f(11) = 91,299
3. f(2) = 38,720
4. f(17) = 161,743
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
