A ratio can be expressed as a description, with a _ , or as a ___.

Mathematics

1 answer:

umka21 [38]2 years ago

5 0

Answer:

Answer - words, colon, fraction

Step-by-step explanation:

A ratio can be expressed in words as a description, with a colon between 2 quantities, or as a fraction.

EXPLANATION:

A ratio is a statement of the quantitative relationship between two numbers in a given scenario.

- It can be expressed in words as a description of the relationship. E.g. "Ratio 2 to 8"

- It can be expressed with a colon. E.g. "2:8"

- It can be expressed as a fraction. E.g. "2/8"

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What are the correct answers and why? Simple and concise explanation please!!!

dezoksy [38]

Answer:

$\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}$

Step-by-step explanation:

$(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)$

$f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1$

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$-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8$