Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
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Answer:
The probability that the middle school student owns a skateboard or a bicycle is 0.61.
Step-by-step explanation:
We are given that the probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48, and owning both is 0.45.
A middle school student is chosen at random.
Let the probability of student owning a skateboard = P(S) = 0.58
The probability of student owning a bicycle = P(B) = 0.48
The probability of student owning both = P(S 
B) = 0.45
Now, the probability that the middle school student owns a skateboard or a bicycle is given by = P(S 
B)
P(S B) = P(S) + P(B) - P(S B)
= 0.58 + 0.48 - 0.45
= 0.61
Hence, the probability that the middle school student owns a skateboard or a bicycle is 0.61.
You can solve this in a long way so that you will understand
the relationship of the increase in the number of memberships sold.
First week = 5 memberships
Second week = 8 memberships (5 + 3)
Third week = 11 memberships (8 + 3)
Fourth week = 14 memberships (11 + 3)
Fifth week = 17 memberships (14 + 3)
Total after 5 weeks = 55 memberships sold (5 + 8 + 11 + 14 +
17)
Answer:
48=3b+v
Step-by-step explanation:
384=24b+8v
b standing for bus
v standing for vam
to simplify the equations you would divided by eight since all numbers are multiples
48=3b+v
Answer:
Step-by-step explanation: If 1 pint is equal to 16 oz (1 cup), then 2 pints is equal to 32 oz (2 cups). So, Sarah drank a total of 2 glasses of milk because her glass holds 16 oz, which is a pint. 2 pints is 32 oz which would be 2 glasses of milk.
Hope this helps! :)
