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Paraphin [41]
3 years ago
6

Which student factored the expression x3 - 3x + x2 - 3 correctly based on their answer below?

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0
<span>x3 - 3x + x2 - 3 

= x^3 + x^2 - 3x - 3

= (x^3 + x^2) - (3x + 3)

= x^2(x + 1) - 3(x + 1)

= (x^2 -3)(x + 1) = (x + 1)(x2 - 3)

so ans is Roger

</span>
Marysya12 [62]3 years ago
4 0
Jane: (x - 1)(x² - 3) = x³ - 3x - x² + 3

Mariah: (x + 1)(x² + 3) = x³ + 3x + x² + 3

Roger: (x + 1)(x² - 3) = x³ - 3x + x² - 3

Nethan: ((x - 1)(x² + 3) = x³ + 3x - x² - 3

In short, Your Answer would be: Option C) Roger

Hope this helps!
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Answer : There are no more than 10% of homes in the city are not up to the current electric codes but actually we do not have evidence to accept it.

Explanation:

The Type I error occurs when the null hypothesis is true but we reject it.

Given null hypothesis : H_0 : an electrician claims that no more than 10% of homes in the city are not up to the current electric codes.

The Type I error for the given situation is that there are no more than 10% of homes in the city are not up to the current electric codes but actually we do not have evidence to accept it.

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3 years ago
Use the fraction strips to compare 2/4 and 5/8. use the drop-down menus to explain your comparison.
tia_tia [17]

Answer:

2

5

\dfrac{4}{5}

Step-by-step explanation:

We are given 2 fractional numbers:

1.\ \dfrac{2}4\\2.\ \dfrac{5}8

We have to use fraction strips to compare to the fractional numbers.

Let we are Comparing \frac{2}{4} with the length of x number of \frac{1}4 sections.

i.e.

\dfrac{2}{4}  = x \times \dfrac{1}{4}\\\Rightarrow x = \dfrac{2 \times 4}{4}\\\Rightarrow x = 2

Let we are Comparing \frac{5}{8} with the length of y number of \frac{1}8 sections.

i.e.

\dfrac{5}{8}  = y \times \dfrac{1}{8}\\\Rightarrow y = \dfrac{5 \times 8}{8}\\\Rightarrow y = 5

Now, let us have a look at 3rd part of question:

The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8

Let the answer be z.

So, the equation becomes:

\dfrac{2}{4} = z \times \dfrac{5}{8}\\\Rightarrow z = \dfrac{2 \times 8}{4 \times 5}\\\Rightarrow z = \dfrac{2 \times 2}{5}\\\Rightarrow z = \dfrac{4}{5}

So, the answers are:

2

5

\dfrac{4}{5}

5 0
3 years ago
Simplify [3(4-2)]x(16-4x3)PLS HURRY!!!!!!!!!
Lapatulllka [165]

Answer:6x*4

Step-by-step explanation:

(12-6)x(16-12)

6x*4

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2 years ago
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mart [117]
I’m guessing C, but I’m not for sure
6 0
3 years ago
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For a sequence defined by f(1)=13 and 2f(n-1)+(n-2), which of the following is the value of f(4)
densk [106]
Given that:
f(1)=13 and 2f(n-1)+(n-2)
then:
f(4) will be found as follows:
f(2)=2f(2-1)=2f(1)=2*13=26
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Thus:
Answer:(3) 108

6 0
3 years ago
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