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PilotLPTM [1.2K]
1 year ago
15

Leon evaluated the expression (–4a – 6) + a2 for a = 8. (-4(8) - 6) + 82 (-32-6) + 82 (-38) + 82 (-38) + 16 –19 + 16 –3 Analyze

Leon's work. Check all that apply. Leon should have subtracted inside the parentheses before he multiplied. The expression inside the parentheses should be simplified to –26 instead of –38. Leon multiplied 8 by 2 when he should have raised 8 to a power of 2. The multiplication of two negative values in step 4 should result in a positive value. The correct answer should be 35.
Mathematics
2 answers:
zhuklara [117]1 year ago
7 0

Answer:

Option 3 is correct as  Leon multiplied 8 by 2 when he should have raised 8 to a power of 2.

Step-by-step explanation:

Given : Leon evaluated the expression (-4a-6)+a^2 for a=8

(-4(8) - 6) + 82 ,  (-32-6) + 82 , (-38) + 82 ,  (-38) + 16 –19 + 16 –3

Leon's work is not so proper , Option 3 is correct as  Leon multiplied 8 by 2 when he should have raised 8 to a power of 2.

Correct steps are :

Step 1 :    (-4a-6)+a^2

Step 2 : Put a=8 in the equation we get,

=(-4(8)-6)+8^2

=(-32-6)+8^2

=-38+8^2

=-38+64

=26  

Therefore, correct answer is 26.

madreJ [45]1 year ago
4 0
The answer is...
Leon multiplied 8 by 2 when he should have raised 8 to a power of 2.
Or
The multiplication of two negative values in step 4 should result in a positive value.
Both are correct
Hope this helped
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. En un concesionario de coches hay modelos de varios colores. Los rojos suponen 1 6 del total, los azules, 2 9 del total, y los
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Complete question :

En un concesionario de coches hay modelos de varios colores. Los rojos suponen 1/6 del total, los azules, 2/9 del total, y los blancos, 4/15 del total.

a)¿Cuál de esos colores es el más frecuente?

b) Si hay 40 coches azules, ¿cuántos hay en total?

Responder:

Coches blancos

180 coches

Explicación paso a paso:

Dado que:

Rojo = 1/6 del total

Azul = 2/9 del total

Blanco = 4/15 del total

Para determinar qué color es el más alto, convierta los valores en decimal:

1/6 = 0,166667

2/9 = 0,2222

15/4 = 0,26667

Por lo tanto;

4/15> 2/9> 1/6

Por tanto, los coches blancos son los que más

2.)

Sea Número total = x

Por lo tanto,

2/9 de x = 40

2x / 9 = 40

2x = 360

x = 180

Por tanto, hay 180 coches en total.

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1 year ago
A customer hands you $3,850 in cash and would like to purchase 14 prepaid
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Answer:

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Step-by-step explanation:

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A school replaced 20% of it computers with new ones . what the total number of computers in the school if 55 computers were repl
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The total is 275 because 100% divided by 20% is 5 and if 20%= 55 then that means that 55 goes into 100% 5 times so you multiply 55 by 5 to get 275. Hope I helped! Please rate me as the brainliest!
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9. Ms. Ortiz sells tomatoes wholesale. The function p(x)=–80x2 + 320x – 10, graphed below,
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Answer:

<u>The correct answer is B. $310 at $2 per kilogram</u>

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

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<u>The correct answer is B. $310 at $2 per kilogram</u>

7 0
1 year ago
An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t
gregori [183]

Answer:

probability that all of the sprinklers will operate correctly in a fire: 0.0282

Step-by-step explanation:

In order to solve this question we will use Binomial  probability distribution because:

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A binomial distribution is a probability of a success or failures outcomes in an  repeated multiple or n times.

Number of outcomes of this distributions are two.

The formula is:

b(x; n, P) = C_{n,x}*p^{x}  * (1 - p)^{n-x}

b = binomial probability  also represented as P(X=x)

x =no of successes

P = probability of a success on a single trial

n = no of trials

C_{n,x} is calculated as:

C_{n,x} = n! / x!(n – x)!

        = 10!  / 10!(10-10)!

        = 1

According to given question:

probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.

number of trials i.e. n = 10 as number of sprinklers are 10

To find: probability that all of the sprinklers will operate correctly in a fire

X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them

So putting these into the formula:

P(X=x) = C_{n,x}*p^{x}  * (1 - p)^{n-x}

           = C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰

           =  1 * 0.0282 * (0.3) ⁰

           = 1 * 0.0282 * 1

  P(X=x)        = 0.0282

5 0
1 year ago
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