Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then
1 answer:
Answer:
Molly paid for each song $1.5
Step-by-step explanation:
Let
x ------> amount that Molly paid for each song
we know that
The amount that Molly paid for each song multiplied by 8 is equal to the gift card value
so
The linear equation that represent this problem is
Solve for x
Divide by 8 both sides
Molly paid for each song $1.5
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Answer:
g(x) = (x-3)³ is the transformed function.
Step-by-step explanation:
Horizontal shift:
If f(x) is the parent function.
Then horizontal shift can be expressed as:
, will shift left units.
, will shift
right c units.
Given the parent function
f(x) = x³
From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.
Therefore, according to the rule, :
g(x) = (x-3)³ is the transformed function.
From the graph,
- The Red graph indicates the parent function i.e. f(x) = x³
- The Blue graph indicates the transformed function i.e. g(x) = (x-3)³
It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.
Therefore, g(x) = (x-3)³ is the transformed function.
Answer: There are 6 sections of of rope Mario can cut from the rope .
Step-by-step explanation:
Since we have given that
Length of the rope for the tent = 7 feet
As we know that
Length of rope is used to tie a tarp on top of the tent = 34.5 inches
Remaining length of rope is given by
According to question, the remaining rope should be cut into
So, Number of sections of rope Mario can cut from the rope is given by
Hence, there are 6 sections of rope Mario can cut from the rope .