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ZanzabumX [31]
3 years ago
7

The factorization of x2 + 3x – 4 is modeled with algebra

Mathematics
1 answer:
meriva3 years ago
4 0

Option C: (x+4) and (x-1) are the factors of the equation

Explanation:

Given that the equation is x^{2} +3x-4

We need to determine the factors of the equation.

Splitting the middle term, we get,

x^{2} +4x-x-4

Grouping the terms, we have,

x(x+4)-1(x+4)

Let us factor out the term (x+4), we have,

(x+4)(x-1)

Thus, the factors of the equation are (x+4) and (x-1)

Hence, Option C is the correct answer.

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Step-by-step explanation:

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3 years ago
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Genrish500 [490]

Answer:

12 cm

Step-by-step explanation:

The Pythagorean Theorem is as follows:

a^{2} +b^{2} =c^{2}

A and B represent the side lengths (legs) and C represents the hypotenuse.

The length of one leg equals 5cm. (This can be represented by either a or b)

The hypotenuse equals 13 cm.

Plug these into the equation from above:

a^{2} + (5^{2}) = (13^{2})

Solve for the other leg:

   a^{2} + 25 = 169                          Square what's in the parentheses from above

a^{2} = 144\\                                  Subtract 25 from 169

\sqrt{a^{2} } = \sqrt{144}                            Square root both sides

a = 12 cm                        

Thus, the length of the other leg is 12 cm.

Let's check our answer:

12^{2} +5^{2} =13^{2}                        Square everything

144 + 25 = 169                      Add

169 = 169

Because both sides are equal it means that 12 cm is the correct answer.

Hope this helps!!

3 0
2 years ago
What is 3:120 equivalent to
fenix001 [56]
1:40 because if we think of this just like a fraction \frac{3}{120} that simplifys down to \frac{1}{40} and because fraction simplifications are similar (related to each other) we can concur that these would be too.

Enjoy!=)
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Step-by-step explanation:

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Dan made $5000 in taxable income last year.
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well, we know is 10% for the first 7500, but Dan only made 5000 of taxable income, so he's in that range of 0 - 7500, so he only gets to pay 10% of 5000.

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 5000}}{\left( \cfrac{10}{100} \right)5000}\implies 500

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