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3 years ago

NEED HELP ASAP PLEASE!!!!

Mathematics

1 answer:

tatiyna3 years ago

8 0

Answer: $f(x) - g(x) = -2x^2-3x+15$

Step-by-step explanation:

To subtract functions, treat each function as a polynomial and subtract them as you would normally subtract polynomials.

$f(x) = -3x + 7\\g(x) = 2x^2 + 8$

$f(x) - g(x) = (-3x+7)-(2x^2-8)\\\\f(x) - g(x) = -3x-2x^2+15$

The correct answer is the fourth choice. It correctly subtracts the polynomials.

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

The rectangular floor of a storage shed has an area of 580 square feet. The length of the floor is 9 feet more than its width (s

Marysya12 [62]

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Answer:

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Step-by-step explanation:

Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.

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8 0

3 years ago

For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potat

Vaselesa [24]

Answer:

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Step-by-step explanation:

M + P + C = 13.5

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3 years ago

What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

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3 years ago