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2 years ago

9

Simplify each expression. -4.1 + 2n +1 +0.3n What is the answer

1 answer:

Gnom [1K]2 years ago

7 0

Answer: -4/5, in decimal form -0.8

Step-by-step explanation: −4.1+2n+1+0.3n

Combine Like Terms:

=−4.1+2n+1+0.3n

=(2n+0.3n)+(−4.1+1)

=2.3n+−3.1

=2.3n−3.1

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Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

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QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

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and

$h(x)=-3x^2+1$

Then;

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Group similar terms;

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Simplify;

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QUESTION 2

Given that;

$f(x)=4x-7$ .

$g(x)=(x+1)^2$

and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

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$s(3)=21$

QUESTION 3

Given:

$f(x)=3x+2$

$g(x)=x^2-5x-1$

$f(g(x))=f(x^2-5x-1)$

This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

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

$f(g(x))=3x^2-15x-1$

QUESTION 4

The given function is;

$f(x)=3(x-6)^2+1$

Let

$y=3(x-6)^2+1$

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$\Rightarrow \frac{y-1}{3}=(x-6)^2$

$\Rightarrow \sqrt{\frac{y-1}{3}}=x-6$

$\Rightarrow x=6+\sqrt{\frac{y-1}{3}}$

The range is:

$\frac{y-1}{3}\ge0$

$y-1\ge0$

$y\ge1$

The interval notation is;

$[1,+\infty)$

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dem82 [27]

Answer:

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