Any number to the power of is itself. So,
.
Here are some more examples:
Find the value of x
1 answer:
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Answer:
Let x represents the Sara eat pancake and y represents the Phil eat the pancake.
As per the statement:
Phil ate three less than twice as many pancakes as Sara.
"Twice as many pancake as Sara" means 2x
"three less than twice as many pancakes as Sara" means 2x -3
⇒ .....[1]
It is also given that together they combined to eat 15 pancakes.
⇒ .....[2]
Substitute equation [1] into [2] we get;
Combine like terms;
3x-3 =15
Add 3 to both sides we get;
3x = 18
Divide both sides by 3 we get;
x = 6
Substitute the value of x in [1] we get;
y = 2(6)-3 = 12-3 =9
y = 9
Therefore, the pancakes did each eat are;
Sara eat pancake = 6 and Phil eat pancake = 9
We can use the point-slope equation:
m, the slope, is 3/4:
To find b, we plug in the point (4,1/3):
Therefore, the point-slope equation is
Now we have to see which answer matches.
Since this is not the same, we try the next one.
This is the same, so this is the answer. We should still double-check the other answers.
This one is not equivalent.
This one also does not work.
The answer is the second one:
m, the slope, is 3/4:
To find b, we plug in the point (4,1/3):
Therefore, the point-slope equation is
Now we have to see which answer matches.
Since this is not the same, we try the next one.
This is the same, so this is the answer. We should still double-check the other answers.
This one is not equivalent.
This one also does not work.
The answer is the second one: