Answer:
C. The domain is (-1,+∞), and the range is all real numbers.
Step-by-step explanation:
The domain is (-1,+∞) because the expression ln(x+1) exists only if x>-1
and the range is all real numbers.
check the attached picture for the graph.
Answer:
He bought 1 small bag and 6 large bags.
Step-by-step explanation:
We can set up 2 equations with the given information.
5x+8y=45
x+y=6
We can rearrange the second equation to solve for x.
x=6-y
Now we substitute x for 6-y in the first equation
5(6-y)+8y=45
30-5y+8y=45
30+3y=45
y+10=15
y=5
x=1
He bought 1 small bag and 6 large bags.
Answer:
y = 3.584
Step-by-step explanation:
Given
Variation = Inverse Proportional
When y = 7, x = 4
Required
Find y when x = 5
First, we need to represent the variation.
y varies inversely proportional to x³
This implies that
y ~ 1/x³
Convert variation to equation
y = k/x³
Make k the subject
k = x³y
When y = 7, x = 4
This gives:
k = 4³ * 7
k = 64 * 7
k = 448
To determine the value of y when x = 5;
We make use of y = k/x³
Substitute 5 for x and 448 for k
y = 448/5³
y = 448/125
y = 3.584
