What two numbers add to 13 but multiply to negative 12?
1 answer:
9514 1404 393
Answer:
13.8654599313 and -0.8654599313
Step-by-step explanation:
If one of the numbers is x, then the other is 13-x, and their product is ...
x(13 -x) = -12
x^2 -13x = 12 . . . . multiply by -1 and simplify
x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square
(x -6.5)^2 = 54.25
x -6.5 = √54.25
x = 6.5 +√54.25 ≈ 13.8654599313
and the other number is ...
13 -x = 13 -13.8654599313 = -0.8654599313
The two numbers are 13.8654599313 and -0.8654599313.
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Answer:
Option A, C and D are correct choices.
Step-by-step explanation:
Let x be the number of rides that Tomas has been on so far. Each ride costs 5 tickets. This means that cost of x rides will be 5x.
We are told that Tomas bought 80 tickets for rides at an amusement park.
To find the number of of tickets that Tomas has left we will subtract cost of x rides from total number of tickets that Thomas bought.
We can represent this information in an expression as:
Now let us see which of our given choices in equivalent to our expression.
A.
Upon looking at option A we can see that it is same as our expression, therefore, option A is the correct choice.
B.
We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option B is not a correct choice.
C.
Upon distributing 5 we will get,
Now this expression is same same as our expression, therefore, option C is the correct choice.
D.
This expression is also same as our expression as we can rearrange the terms in this expression as: , therefore, option D is a correct choice as well.
E.
Upon distributing 5 we will get,
We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option E is not a correct choice.