Step-by-step explanation:
(f+g)(x) means we just add the 2 functions, so we have
(x-3) + 2x² = 2x² + x - 3
(f-g)(x) means we subtract g(x) from f(x), so we have
(x-3) - (2x²) = -2x²+x-3
Assuming that the dot signifies a multiplication sign and not a composition sign, we have
(f*g)(x) = f(x) * g(x)
= (x-3) * 2x²
= 2x³ - 6x²
Plugging -2 in, we get
2(-2)³-6(-2)² = -16 -24 = -40
Answer:
y=(-4/3)x+2 = -1.33x+2
Step-by-step explanation:
we have two points:
(3,-2) and (0,2) given from the graph.
we know the equation of the line is
y=mx+b
m=slope
m=(y2-y1)/(x2-x1)
m=(2-(-2))/(0-3)
so we have the slope is
m=4/-3
m=-4/3
-4/3=-1.3333
we need to find "b"
using the point (0,2)
we have
2=m*0+b
2=b
finally we have
the answer is y=(-4/3)x+2
Answer:
a)
i) we have the equation:
3*x - 2*y
We want to find a common multiple of 3 and 2.
One can be:
3*6 = 18
2*9 = 18
And both numbers 6 and 9 are on the list, then if we take:
x = 6, y = 9
we get:
3*6 - 2*9 = 18 - 18 = 0
The solution is x = 6, y = 9.
ii) The greatest possible value of:
3*x - 2*y
Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)
then we need to have x = 10, y = 5
The value will be:
3*10 - 2*5 = 30 - 10 = 20
iii) Now we want to have the smallest value on x, and the largest one on y, then:
x = 5, y = 10
The smallest value of the equation will be:
3*5 - 2*10 = 15 - 20 = -5
B) We want to solve:
5*(a - 4*b)
when:
a = -7
b = 1/4
This is kinda easy, we just need to replace the variables in the equation to get:
5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40
The slope-intercept form: y = mx + b
m - a slope
b - a y-intercept
y = x + 3
Answer: the slope m = 1, y-intercept b = 3 -> (0; 3).
Answer:
$81.03
Step-by-step explanation:
Given
--- annually
--- time
--- rate
---- Present value
Required
The future value
This is calculated as:
This gives:
<em>The future value to the nearest cent is: $81.03</em>
