Answer:
(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;
f(x)=2x
g(x)= 1/x
(f*g) (x) = f(x) * g(x)
(f*g) (x) = 2x * 1/x = 2
This is a horizontal line defined everywhere on the real line. The domain of (f*g) (x) is thus ( -∞, ∞)
Step-by-step explanation:
,
Answer: she needs to buy 80kg of
dark chocolate and 70kg of milk chocolate.
Step-by-step explanation:
Let d represent the number of kilograms of dark chocolate that she buys.
Let m represent be the number of kilograms of milk chocolate that she buys.
She wants to buy 10g more of dark chocolate than milk chocolate. This means that
x = y + 10
She needs 150kg of chocolate in total for her next order. This means that
x + y = 150 - - - - - - - - - - - --1
Substituting x = y + 10 into equation 1, it becomes
y + 10 + y = 150
2y + 10 = 150
2y = 150 - 10 = 140
y = 140/2 = 70
x = y + 10 = 70 + 10
x = 80
Answer:
Step-by-step explanation:
Thde y-intercept is the value oy y when x = 0. The data table tells us the value of y when x=0 is 4. The ordered pair is (0,4)
Answer:
y = (x-4)/2
Step-by-step explanation:
x = 4 + 2y, x - 4 = 2y, (x-4)/2 = y, y = (x-4)/2
Answer:
81 inches
Step-by-step explanation:
To find the volume of a rectangular prism you multiply the width × the height × the length.
So it would be 3×9×3 which equals to 81 inches