Answer:
![\large\boxed{f(x)=x^2+16x+60}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bf%28x%29%3Dx%5E2%2B16x%2B60%7D)
Step-by-step explanation:
The factored form of a quadratic function:
![f(x)=ax^2+bx+c=a(x-x_1)(x-x_2)](https://tex.z-dn.net/?f=f%28x%29%3Dax%5E2%2Bbx%2Bc%3Da%28x-x_1%29%28x-x_2%29)
x₁, x₂ - the zeros
We have x₁ = -10 and x₂ = -6.
Substitute:
![f(x)=(x-(-10))(x-(-6))=(x+10)(x+6)](https://tex.z-dn.net/?f=f%28x%29%3D%28x-%28-10%29%29%28x-%28-6%29%29%3D%28x%2B10%29%28x%2B6%29)
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
![f(x)=(x)(x)+(x)(6)+(10)(x)+(10)(6)\\\\f(x)=x^2+6x+10x+60\\\\f(x)=x^2+16x+60](https://tex.z-dn.net/?f=f%28x%29%3D%28x%29%28x%29%2B%28x%29%286%29%2B%2810%29%28x%29%2B%2810%29%286%29%5C%5C%5C%5Cf%28x%29%3Dx%5E2%2B6x%2B10x%2B60%5C%5C%5C%5Cf%28x%29%3Dx%5E2%2B16x%2B60)
Answer:
4.) d
5.) b
6.) c
7.) a
Step-by-step explanation:
I'm a pro at Geometry..sometimes, but with angles I'm a pro!!
4.) d) The Alternate Interior angles are <7 and <12
5.) b) The consecutive interior angles are <4 and <10
6.) c) The corresponding angles are <13 and <15
7.) a) The alternate exterior angles are <1 and <14
Hope this helps ya!!
Answer:
Number of dolphins in zoo * number of fish per dolphin.
Step-by-step explanation:
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Given that:
Number of dolphins = 5
Fish in bucket is distributed equally ; hence, Number of fish per dolphin = 4
To obtain the initial number of fish in bucket before hansen began to feed the fishes :
Number of fish in bucket before hansen feeds then :
Number of dolphins in zoo * number of fish per dolphin.
5 * 4 = 20