Answer:
Yes it is correct
Step-by-step explanation:
:)
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Answer: For each birdhouse built, the total cost increases by $3.50.
Step-by-step explanation:
Given: The total cost for Sophia to build b birdhouses is represented by the function ![f(b)=3.5b+24](https://tex.z-dn.net/?f=f%28b%29%3D3.5b%2B24)
We can see in the function 3.5 is multiplied to b, so when b increases , f(b) increases by 3.5.
![f(1)=3.5(1)+24=3.5+24=27.5](https://tex.z-dn.net/?f=f%281%29%3D3.5%281%29%2B24%3D3.5%2B24%3D27.5)
![f(2)=3.5(2)+24=7+24=31](https://tex.z-dn.net/?f=f%282%29%3D3.5%282%29%2B24%3D7%2B24%3D31)
![f(3)=3.5(3)+24=10.5+24=34.5](https://tex.z-dn.net/?f=f%283%29%3D3.5%283%29%2B24%3D10.5%2B24%3D34.5)
and ![f(2)-f(1)=f(3)-f(2)=3.5](https://tex.z-dn.net/?f=f%282%29-f%281%29%3Df%283%29-f%282%29%3D3.5)
Therefore, the value of 3.5 represents that for each birdhouse built, the total cost increases by $3.50.
667+23=700
Hope this helps
Answer: False
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Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.