Answer:
(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)
Step-by-step explanation:
plug in each x value into the equation
take -7 for example
when -7 is x, we plug it into the equation
![y=x-6](https://tex.z-dn.net/?f=y%3Dx-6)
![y=-13](https://tex.z-dn.net/?f=y%3D-13)
you would do this same process for the rest of the x values.
Answer:
40 field goals
Step-by-step explanation:
Represent 2-point with x and 3-point with y;
Given
![x = 3y](https://tex.z-dn.net/?f=x%20%3D%203y)
![2x + 3y =90](https://tex.z-dn.net/?f=2x%20%2B%203y%20%3D90)
Required
Determine x and y
![x = 3y](https://tex.z-dn.net/?f=x%20%3D%203y)
![2x + 3y =90](https://tex.z-dn.net/?f=2x%20%2B%203y%20%3D90)
Substitute 3y for x in ![2x + 3y =90](https://tex.z-dn.net/?f=2x%20%2B%203y%20%3D90)
![2(3y) + 3y = 90](https://tex.z-dn.net/?f=2%283y%29%20%2B%203y%20%3D%2090)
![6y + 3y = 90](https://tex.z-dn.net/?f=6y%20%2B%203y%20%3D%2090)
![9y = 90](https://tex.z-dn.net/?f=9y%20%3D%2090)
Divide both sides by 9
![y = 10](https://tex.z-dn.net/?f=y%20%3D%2010)
Substitute 10 for y in ![x = 3y](https://tex.z-dn.net/?f=x%20%3D%203y)
![x = 3 * 10](https://tex.z-dn.net/?f=x%20%3D%203%20%2A%2010)
![x =30](https://tex.z-dn.net/?f=x%20%3D30)
The number of field goals = x + y
![x + y = 30 + 10](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2030%20%2B%2010)
![x + y = 40](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2040)
<em>Hence, the number of field goals is 40</em>
The answer is B. Testing random samples of wild animals to decide whether they are healthy
Answer:
The number of bald eagles in the state in the winter of 1999 = 102.709 = 103 to the nearest whole number.
Or 102 if the fractional bird shouldn't be rounded up.
Step-by-step explanation:
The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function f(x)
N = f(x) = -3.439x⁴ + 35.952x³ - 99.139x² + 41.541x + 178.192
where x = number of years since 1996
The number of bald eagles in the state in the winter of 1999?
1999 is 3 years from 1996, hence, x = 3
N = f(x) = -3.439x⁴ + 35.952x³ - 99.139x² + 41.541x + 178.192
We then put x = 3 into the quartic function that models the number of bald eagles in that state during the winter to get the number of bald eagles in the state in the winter of 1999.
N = f(3) = -3.439(3⁴) + 35.952(3³) - 99.139(3²) + 41.541(3) + 178.192
N = f(3) = (-3.439×81) + (35.952×27) - (99.139×9) + (41.541×3) + 178.192 = 102.709 = 103 to the nearest whole number
Hope this Helps!!!
Depends on if you want it rounded.
14.47