Vertex: (-2,-1)
Zeros: -3,-1
Answer:
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Step-by-step explanation:
The quotient is x²-2 +12/(x-1).
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<em>Comment on the attachment</em>
You see that I did not maintain strict alignment between quotient terms and dividend terms. For polynomial long division, this is less important than for numerical long division.
In numerical long division, the value of a digit is determined by its place relative to the decimal point and other digits. If a digit gets moved a position right or left, its value changes, so it is important to put and keep digits in the appropriate place. Zeros are used as necessary in the quotient to help do this.
In polynomial long division, each "digit" is the coefficient of some power of the variable. That power is expressed explicitly. We do not depend on the position of the number in the answer to tell us the power of the variable it goes with. (That's slightly different for synthetic division.)
Here, the coefficient of x in the quotient is 0, but no "placeholder" is needed to show that.
Answer:
192 children and 145 adults were admitted.
Step-by-step explanation:
Let c represent the amount of children and let a represent the amount of adults.
Total fees for children = (Fee for one child) x (Amount of children) = 6.5c
Total fees for adults = (Fee for one adult) x (Amount of adults) = 15a
Total fees = Total fees for children + Total fees for adults
3423 = 6.5c +15a
We know that the amount of people who entered the park was 337. Therefore a+c=337, which means a=337-c.
Sub this in to the equation above to get:
3423 = 6.5c +15 (337-c)
3423 = 6.5c + 5055 - 15c
-1632 = -8.5c
c = 192
So there were 192 children.
Since a=337-c and c=192, a=337-192=145. So there were 145 adults.