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Novosadov [1.4K]
3 years ago
16

For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?

Mathematics
2 answers:
Klio2033 [76]3 years ago
7 0
When b=0
f(x)=ax^2+c

test each
A. with x^2-1, A is false
B. with -x^2-1, B is false
C. cannot find contradiction
D. the axis is actually x=0, 0 is nithere positive nor negative, false


answer is C

tatuchka [14]3 years ago
5 0

Answer:

c

Step-by-step explanation:

they guy answered it

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The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the
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Given:

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the height is h=(b+3)

1. The volume of a rectangular prism is (base area)*height

also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be (mb^{2}+nb+k)

 
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3
we write the above equality again:

b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)


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4
now compare the coefficient with the left side:

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substituting n=5: 

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Answer: b^{2}+5b+4


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