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3 years ago

Which of the following represents the characteristics of the graph of x < 4? Please help.

Mathematics

1 answer:

sleet_krkn [62]3 years ago

4 0

Open circle on 4 and shaded to the left is the correct characteristics of the graph of $x < 4$

Option C is correct.

Step-by-step explanation:

We need to identify the characteristics of the graph of $x < 4$

The graph will contain all values that are less than 4.

4 is not included in the graph because we have less than sign and not less than equal to. So, an open circle will appear on 4.

All values less than 4 are on the left of 4, so shaded to the left of the graph.

The graph of $x < 4$ is attached in the figure below.

So, open circle on 4 and shaded to the left is the correct characteristics of the graph of $x < 4$

Option C is correct.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

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Tim earns $31 after 2 hours, $46.5 after three hours, and $62 after four hours. Write an equation that represents the amount of

Kazeer [188]

Answer:

y = $15.5x

Step-by-step explanation:

Given that

Tim earns $31 after 2 hours

$46.5 earns after 3 hours,

And, $62 earns after four hours

So first determine the each hour earnings i.e.

= $31 ÷ 2

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In two hours it would be $31 and so on

So here the equation would be

y = $15.5x

Here

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2 years ago

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xxMikexx [17]

Answer:

$531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

Step-by-step explanation:

1 n=0

1 1 n=1

1 2 1 n=2

1 3 3 1 n=3

1 4 6 4 1 n=4

1 5 10 10 5 1 n=5

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This is where n is the exponent in

$(x+y)^n$ .

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

Now we want to expand:

$(9a-10b)^6$ or we we can rewrite as $(9a+(-10b))^6$ .

Let's replace $x$ with $(9a)$ and $y$ with $(-10b)$ in the expansion:

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

$((9a)+(-10b))^6$

$=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6$

Let's simplify a bit:

$=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6$

$=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

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