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2 years ago

What is 5x + 1 - 2x - 3?

Mathematics

1 answer:

Norma-Jean [14]2 years ago

4 0

Answer:

3x - 2

Step-by-step explanation:

5x +1 -2x -3 Combine like factors with x

5x -2x = 3X

3x +1 -3 Combine like factors without x

1 -3 = -2

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Show me how you solve it

julia-pushkina [17]

Answer:

5^20

Step-by-step explanation:

Law of Exponent I

$\displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

Therefore:

$\displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{8 - 3})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{5})^{4} }$

Law of Exponent II

$\displaystyle \large{( {a}^{m} ) ^{n} = {a}^{m \times n} }$

Thus:

$\displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{8 - 3})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{5})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = {5}^{5 \times 4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = {5}^{20} }$

7 0

2 years ago

Describe in your own words what a function is and include an example of a function?

Vlad1618 [11]

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
This means that if the object x
x
is in the set of inputs (called the domain) then a function f
f
will map the object x
x
to exactly one object f(x)
f
(
x
)
in the set of possible outputs (called the codomain).
The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.

Example: x2 (squaring) is a function
x3+1 is also a function
Sine, Cosine and Tangent are functions used in trigonometry
and there are lots more!
But we are not going to look at specific functions ...
... instead we will look at the general idea of a function.

5 0

2 years ago

Find x and m of angle wyl

LenKa [72]

Answer:

Step-by-step explanation:

x is clearly 42° because WU is an angle bisector of YWZ (which is 84, and bisecting means half of 84, that is 42)

now, for m of WYL

notice, YLW = 90°

also, UWL = 42°

name the intersection point of YL and WU as O in your mind

Apply angle sum property of a triangle for triangle WOL

angle WOL + angle UWL + angle YLW = 180

angle WOL + 90 + 42 = 180

angle WOL = 180 - 132

angle WOL = 48

now focus on line LOY

since LOY is a line, the angles a line intersecting it forms a linear pair, i.e

angle WOL + angle YOW = 180

48 + YOW = 180

angle YOW = 132

Now, apply angle sum property for triangle YOW

angle YOW + angle YWO (x) + angle WYO (or WYL) = 180

132 + 42 + WYO (or WYL) = 180

WYO (or WYL) = 6°

ask me in the comments if you have any doubts in this

5 0

3 years ago

Can someone help me out please, thank you.

Nutka1998 [239]

Here are a few rules about exponents you should know:

Multiplying exponents of the same base: $x^m*x^n=x^{m+n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Powering a power to a power: $(x^m)^n=x^{m*n}$
Converting a negative exponent into a positive one: $x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m$