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kogti [31]
3 years ago
8

How to expand (2x+1)(x+1)

Mathematics
2 answers:
Inga [223]3 years ago
8 0
(2x+1)(x+1)
Now multiply 2x to both x and +1
2x^2+2x
Do the same with 1 multiply it to x and +1
2x^2+2x +x+1
Simplify
2x^2+3x+1
Kisachek [45]3 years ago
6 0
You must perform indicated multiplication...

2x(x)+2x(1)+1(x)+1(1)

2x^2+2x+x+1  now combine like terms...

2x^2+3x+1
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One month Miguel rented 12 movies and 2 video games for a total of $41. The next month he rented 3 movies and 5 video games for
inn [45]

Step-by-step explanation:

U should use the system of 2 equations.

Let x be the rental cost of a movie and let y be that of video games.

{12x + 2y= 41} eq1

{3x + 5y= 35}eq2 note: eq means equation

The answer is

X=2.5 Y=5.5

So, the rental cost for each movie is 2.5$

and for each video game is 5.5$

5 0
3 years ago
Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey
victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

  • She is standing 48 feet in front of Lester
  • Carey is sitting to Lester's right
  • Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0
3 years ago
An english reading list has 9 american novels and 7 english novels. A student must read 5 from the list and at least 3 must be e
Elenna [48]

_7C_3\cdot {_{13}C_2}=\dfrac{7!}{3!4!}\cdot\dfrac{13!}{2!11!}=\dfrac{5\cdot6\cdot7}{2\cdot3}\cdot\dfrac{12\cdot13}{2}=2730

7 0
3 years ago
Reduce 720/1080 little cunfused
Veronika [31]
To reduce a fraction, divide the numerator and the denominator equally until they reach the simplest whole number possible. 

In this case, the numerator (720) and the denominator (1080) can both be divided by 360 to get 2/3, our reduced fraction. 

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