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LenaWriter [7]
3 years ago
5

Simplify 8 + 3{x - 2[x + 5(x + 3)]}. -33x + 82 33x - 82 -33x - 82

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0

Answer:

<h2>-33x - 82</h2>

Step-by-step explanation:

Use

PEMDAS:

P      Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and the distributive property a(b + c) = ab + ac.

1)\qquad5(x+3)=5x+15\\\\2)\qquad x+5(x+3)=x+5x+15=6x+15\\\\3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\\\\4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\\\\5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\\\\6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82

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Analyze the following pattern 1,2,5,10,7
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Answer:

an + 1 = an + 2n -1 ,a 1=1

a8= 50

Step-by-step explanation:

an+1=an+2n-1,a1=1

a6=a5+2x5-1

a6=26

a7=26+11

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6 0
3 years ago
Hugo recurved $100 for his birthday.He then saves 20$ per week until he had a total of $460 to buy a printer. Use a. Equation to
SashulF [63]

Answer:

18 weeks

Step-by-step explanation:

In this question, we are asked to use an equation to show the number of weeks it took Hugo who received a certain amount in his birthday and continually saved a certain amount before he could gather a certain amount of money.

In this question, we understand that Hugo wants to buy a printer that costs $460. Fortunately, he had his birthday and he received $100 bucks. Now, let’s say the number of weeks he had to save for is w and he saves 20 per week. This means the total amount he hit from his savings would be 20w

Mathematically, we can use the equation below to model this scenario;

100 + 20(w) = 460

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If f(x) = 2x^2 + 2, find f(5)
zlopas [31]

Well, following the order of PEMDAS, I got choice B. 52

For instance, when you plug in 5 for x, you get F(5)=2(5)^2+2.

Moreover, following PEMDAS, you're supposed to solve what's inside the parenthesis, but since there is no operation going on inside the parenthesis, then you simple move on to the exponent.

In this case, you square the number 5, which gives you F(5)=2(25)+2

After that, you Multiply (letter M in PEMDAS). This results in F(5)=50+2.

Finally, you add them, which results in F=52.


By the way, I noticed a mistake in your work. When multiplying 2 by 5, the answer is 10, not 20.

Anyway, hope this helped! :-)  

8 0
3 years ago
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