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3 years ago

Given that f(x)=x-9,g(x) = 3x^2- 2x + 5, and h(x)=-6x, find each function.

Mathematics

1 answer:

Zina [86]3 years ago

8 0

f(x) = x-9 ;

g(x) = 3x²-2x +5

h(x) = -6x

A : f+g = x-9 +3x²-2x+5

f+g = 3x²-x-4

b : h-g = -6x - 3x²+2x-5

h-g = -3x²-4x-5

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2 years ago

If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 an

Elza [17]

Answer:

See explanation

Step-by-step explanation:

1. R is the set of all integers with absolute value less than 10, thus

$R=\{a\in \mathbb{Z}\ :\ |a|$

2. A is its subset containing all natural numbers less than 10, thus

$A\subset R\\ \\A=\{b\in \mathbb{N}\ :\ b$

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

$2x+5$

Thus,

$B\subset R\\ \\B=\{c\in \mathbb{Z}\ :\ 2c+5$

See the diagram in attached diagram.

Note that

$A\cup B=R\\ \\A\cap B=\{1\}.$

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3 years ago

Can someone please help me with this

Artist 52 [7]

9514 1404 393

Answer:

21. D

22. C

Step-by-step explanation:

21. The expansion of the given expression is ...

$\displaystyle -\frac{1}{2}\left(-\frac{3}{2}x+6x+1\right)-3x=\frac{3}{4}x-3x-\frac{1}{2}-3x\\\\=\left(\frac{3}{4}-3-3\right)x-\frac{1}{2}=\boxed{-5\frac{1}{4}x-\frac{1}{2}}$