Answer:
.
Step-by-step explanation:
Given : d(x ) = -2x - 6.
To find : What is the inverse function .
Solution : We have given that d(x ) = -2x - 6.
Step 1 : d(x) = y
Step 2) : Inter change y and x .
x = -2y -6.
Step 3) solve for y.
On adding both side by 6.
x + 6 = -2y.
On dividing by -2 both side.
= y .
is inverse of d(x).
Therefore, .
Given:
Evan paid his mom back 9.60 which is 20% of the total he owns.
To find:
How much did he owe her to begin with.
Solution:
Let x be the amount Evan owns.
According to the question,
20% of x = 9.60
Multiply both sides by 5.
Therefore, Evan owns 48 from his mom.
Answer:
Let x represents the week and y represents the seashells
As per the statement:
Dora has 10 seashells and plans to add 2 shells every week.
"2 shells every week" means 2x
⇒y = 10 + 2x
It is also given, Jerri has 4 seashells and plans to add 5 shells every week.
"5 shells every week" means 2x
⇒ y = 4 + 5x
The system of equation would be used:
y = 10 + 2x
y = 4 + 5x
Since, the girls have the same number of seashells
⇒
Subtract 4 from both sides we get;
Subtract 2x from both sides we get;
Divide by 3 both sides we have;
x = 2 weeks.
Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.
