9514 1404 393
Answer:
Step-by-step explanation:
The equations can be written as ...
y = 350 -x . . . . . . . . total number of people
4x +2y = 1100 . . . . . admission fees collected
Substituting for y, we have ...
4x +2(350 -x) = 1100
2x = 400 . . . . . . . . . . . . subtract 700, collect terms
x = 200
y = 350 -200 = 150
150 children and 200 adults attended the fair.
Answer:
the length of c is 18.43909
Step-by-step explanation:
pythagorean therorem
Given:
Roots:
![\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-3%2B%5Csqrt%5B%5D%7B6%7D%20%5C%5C%20-3-%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Point: (-1,4)
To determine the equation of the parabola with the given roots and point, we find the missing values first.
Since the roots are given, we can say that the equation is:
![y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})](https://tex.z-dn.net/?f=y%3Da%28x%2B3-%5Csqrt%5B%5D%7B6%7D%29%28x%2B3%2B%5Csqrt%5B%5D%7B6%7D%29)
Next, we expand the terms.
Then, we plug in x= -1, and y=4 into the equation to get the value of a.
So,
Answer:
b. -(x - 7)(x + 10)
Step-by-step explanation:
-x² - 3x + 70
-(x - 7)(x + 10)
The 3:2 ratio can be calculated by dividing the total by the sum of the factors (3 + 2) i.e. 80/5 = 16
<span>Then multiply the factors by the answer above (i.e. 3 x 16 and 2 x 16) </span>
<span>48:32
hope this helps you ! =')</span>
