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Nata [24]
4 years ago
14

Which of the following statements about the work shown below is true?

Mathematics
1 answer:
4vir4ik [10]4 years ago
5 0

Answer:

B). The distributive property was not applied correctly in the second step.

Step-by-step explanation:

We need to find the correct option for marking error from given choices:

\left(x^2+2x+6\right)\left(2x^2-4x-1\right)

Step 1:

x^2\left(2x^2-4x-1\right)+2x\left(2x^2-4x-1\right)+6\left(2x^2-4x-1\right)

No error.

Step 2:

If you apply distributive property correctly then 2nd term gives:

2x\left(2x^2-4x-1\right)=4x^3-8x^2-2x

While 2nd term is not like that.

Hence final answer is :

B). The distributive property was not applied correctly in the second step.

You might be interested in
Write 27 as a power and as repeated multiplication
Oxana [17]

Answer:

3*3*3

3^3

Step-by-step explanation:

27 = 9*3

    = 3*3*3

    = 3^3

6 0
3 years ago
Read 2 more answers
A rectangle has a height of a² + 3 and a width of a² + 2a + 5.
valentina_108 [34]

Answer:

Area =  a^4+2a^3+8a^2+6a+15

Step-by-step explanation:

The area of a rectangle is given by:

Area = Height * Width

The expressions for height and width are given. We just need to multiply and add like terms (if applicable) to find the expression for the area of the rectangle.

Remember to use distributive property:

(a+b)(x+y) = ax + ay + bx + by

Thus, we have:

(a^2+3)(a^2+2a+5)\\=(a^2)(a^2)+(a^2)(2a)+(a^2)(5)+3a^2+6a+15\\=a^4+2a^3+5a^2+3a^2+6a+15\\=a^4+2a^3+8a^2+6a+15

THis is the expression for area.

5 0
3 years ago
Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25+4 represents the height y in inches over time x in wee
Naya [18.7K]

Answer:

Step-by-step explanation:

Allow me to rewrite your question and hope it will fit the original one:

<em>Jackson recorded the growth of a plant over 10 weeks. The equation </em><em>y=0.25x+4</em><em> represents the height y in inches over time x in weeks what does the y intercept represent In terms of the situation</em>

My answer:

As we know that y intercept is the value of y at the point where the line crosses the y axis (the value of x =0)

So in this situation, if x= 0, it means the height of the tree (y-intercept) initially be at 4 at week 0.

Hope it will find you well.

5 0
4 years ago
A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a $200 fee, plus $4 f
Sergio [31]

Answer:

$596

Step-by-step explanation:

So, firstly, let's take all the essential info and put it in bullet points:

  • $200 moving fee
  • $4 for every pot delivered safley
  • $5 each per pot that is lost/broken

Next, what do we know about what's happened to the pots?

  • 6 pots are lost
  • 12 pots are broken
  • 578 pots are supposed to be delivered

Now, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-

200

Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.

So, we can subtract that from the total payment.

200-18=182

Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:

578+18=596

So, the total amount you would be paying is $596.

3 0
2 years ago
Reggie Jackson, one of the great baseball batters of modern times, was called Mr. October by his fans because he seemed to excel
tiny-mole [99]

Answer:

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Step-by-step explanation:

Given the data in the question;

Null hypothesis H₀ : p = 0.262

Alternative Hypothesis H₁ : p > 0.262.

p" = 0.357

q = 1 - p = 1 - 0.262 = 0.738

n = 98

so;

z = (p" - p) / √(pq/n)

we substitute

z = (0.357 - 0.262) / √((0.262×0.738) / 98)

z = 0.095 / 0.04441869

z = 2.1387

at 5% CONFIDENCE INTERVAL

z-critical = 1.645

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

4 0
3 years ago
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