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nordsb [41]
3 years ago
10

PLEASE HELP I NEED TO GET THIS DONE TONIGHT 10 POINTS AND BRAINLIEST

Mathematics
1 answer:
Sav [38]3 years ago
3 0
This would be a hard question for somebody to answer since not everyone has the book.
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Simplify completely''''​
34kurt

Answer:

\displaystyle \frac{2(x + 3)}{5x - 2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                         \displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}
  2. [Fraction] Factor denominator:                                                                     \displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}
  3. [Fraction] Divide:                                                                                           \displaystyle \frac{2(x + 3)}{5x - 2}
8 0
3 years ago
A^2-b^2 a^2b-ab^2<br>-------------- ÷ ---------------a^2b+ab^2 a^2b- ab^2​
Damm [24]

Answer:

\huge{=  \frac{ {a}^{2}  -  {b}^{2} }{ {a}^{2b} +  {ab}^{2}  }}

Step-by-step explanation:

\huge{ \frac{ {a}^{2}  -  {b}^{2} }{ {a}^{2b}  +  {ab}^{2}  }  \div  \frac{ {a}^{2b} -  {ab}^{2}  }{ {a}^{2b} -  {ab}^{2}  }}

\huge{\frac{ {x}^{2}  -  {b}^{2} }{ {a}^{2b} +  {ab}^{2}  }  \div 1}

\huge{\boxed{\green{=  \frac{ {a}^{2}  -  {b}^{2} }{ {a}^{2b} +  {ab}^{2}  }}}}

5 0
3 years ago
What is the reference angle for 7 pi/6?
Mademuasel [1]

Answer:

\frac{\pi }{6}

Step-by-step explanation:

\frac{7\pi }{6} is an angle in the third quadrant

To find the reference angle subtract π from it

reference angle = \frac{7\pi }{6} - π = \frac{\pi }{6}

3 0
3 years ago
Solve this equation:<br> 85-(6x+11)=6(x+8)+x
Lady_Fox [76]
85−(6x+11)=6(x+8)+x
Step 1: Simplify both sides of the equation.<span><span>85−<span>(<span><span>6x</span>+11</span>)</span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span>85+<span><span>−1</span><span>(<span><span>6x</span>+11</span>)</span></span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span>(Distribute the Negative Sign)<span><span><span>85+<span><span>−1</span><span>(<span>6x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(11)</span></span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span><span><span>(6)</span><span>(x)</span></span>+<span><span>(6)</span><span>(8)</span></span></span>+x</span></span>(Distribute)<span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span><span>6x</span>+48</span>+x</span></span><span><span><span>(<span>−<span>6x</span></span>)</span>+<span>(<span>85+<span>−11</span></span>)</span></span>=<span><span>(<span><span>6x</span>+x</span>)</span>+<span>(48)</span></span></span>(Combine Like Terms)<span><span><span>−<span>6x</span></span>+74</span>=<span><span>7x</span>+48</span></span><span><span><span>−<span>6x</span></span>+74</span>=<span><span>7x</span>+48</span></span>Step 2: Subtract 7x from both sides.<span><span><span><span>−<span>6x</span></span>+74</span>−<span>7x</span></span>=<span><span><span>7x</span>+48</span>−<span>7x</span></span></span><span><span><span>−<span>13x</span></span>+74</span>=48</span>Step 3: Subtract 74 from both sides.<span><span><span><span>−<span>13x</span></span>+74</span>−74</span>=<span>48−74</span></span><span><span>−<span>13x</span></span>=<span>−26</span></span>Step 4: Divide both sides by -13.<span><span><span>−<span>13x</span></span><span>−13</span></span>=<span><span>−26</span><span>−13</span></span></span><span>x=2</span><span>Answer:
x=2</span>
3 0
3 years ago
Read 2 more answers
Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri
Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after \frac{640}{7} miles

Step-by-step explanation:

Given

The table represents the car mileage

y = -\frac{1}{5}x + 31 --- The van

First, calculate the car's slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

From the table, we have:

(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)

So, we have:

m = \frac{10.5 - 13.5}{180 - 60}

m = \frac{-3}{120}

m = -\frac{1}{40}

Calculate the equation using:

y = -\frac{1}{40}(x - 60)+13.5

y = -\frac{1}{40}x + 1.5+13.5

y = -\frac{1}{40}x + 15

m = -\frac{1}{40} implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

y = -\frac{1}{5}x + 31 --- The van

By comparison to: y = mx + b

m = -\frac{1}{5}

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

1/40 < 1/5

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

y = -\frac{1}{5}x + 31 --- The van

y = -\frac{1}{40}x + 15 --- The car

Equate both

-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15

Collect like terms

\frac{1}{40}x -\frac{1}{5}x  =-31 + 15

\frac{1}{40}x -\frac{1}{5}x  =-16

Take LCM

\frac{x - 8x}{40} = -16

\frac{- 7x}{40} = -16

Solve for -7x

-7x = -640

Solve for x

x = \frac{640}{7}

5 0
3 years ago
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