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3 years ago

10 points!

Mathematics

2 answers:

Rzqust [24]3 years ago

8 0

Graph C is the answer.

2x – y ≥ 3x + 2y < 4
=y is less than or equal to 2x-3
y is less than -x/2+2

VashaNatasha [74]3 years ago

4 0

Answer:

graph c is the correct answer hope this helps you get an A.

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NEED HELPP ASAP! WILL MARK BRAINLIEST. A new Speed boat costes $33,000. the value decreses by 12% each year. Determine the boat

jonny [76]

Answer:

$15,325.33

Step-by-step explanation:

This is expressed by exponential decay.

y = a(1 - r)^x

y = 33,000(1 - 0.12)^6

y = 33,000(0.88)^6

y = 15,325.33

3 0

3 years ago

C. 7p – 8 = -22<br><br> Solve for p

Alex73 [517]

The answer to this problem is

x = -2

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3 years ago

Read 2 more answers

Balls colliding on a pool table are an example of how energy changes when objects collide. When two balls collide, the first bal

Lena [83]

5/10= 50/100 + 33/100= 83/100..... Does that help?

8 0

4 years ago

Can you help me its the one where it says to find the value of a and b

finlep [7]

Answer:

2b + 42 = 134 —> Opposite angles

2b= 134 – 42

2b= 92

b= 92/2

(2b+42) = 2(46)+42 = 92 +42= 134°

134 + (3a+4) =180

134+3a+4=180

3a+138=180

3a= 180 – 138

3a = 42

a=42/3

I hope I helped you^_^

6 0

3 years ago

Read 2 more answers

Polynomial expressions with matching

yuradex [85]

Answer:

The difference of 27x³ and 8y³ → [3x - 2y][9x² + 6xy + 4y²]

The difference of 27x³ and 64y³ → [3x - 4y][9x² + 12xy + 16y²]

The sum of 27x³ and 64y³ → [3x + 4y][9x² - 12xy + 16y²]

The sum of 27x³ and 8y³ → [3x + 2y][9x² - 6xy + 4y²]

Step-by-step explanation:

For the first two, we use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x - 2y = \sqrt[3]{27x^3 - 8y^3} \\ 3x - 4y = \sqrt[3]{27x^3 - 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ - 64y³

[3x - 4y][9x² + 12xy + 16y²]

↑ ↑ ↑

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ - 8y³

[3x - 2y][9x² + 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Now, for the last two, we use the Sum of Cubes [(a³ + b³)(a² - 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x + 2y = \sqrt[3]{27x^3 + 8y^3} \\ 3x + 4y = \sqrt[3]{27x^3 + 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ + 64y³

[3x + 4y][9x² - 12xy + 16y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ + 8y³

[3x + 2y][9x² - 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

I am delighted to assist you anytime!

* As you can see, when using the <em>Difference\Sum of Cubes</em>, SOAP can vary depending on how an expression is given to you. They resemble each other though.

6 0

3 years ago