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harina [27]
2 years ago
7

Which expression is the factored form of x2 – 7x 10? (x 3)(x 4) (x – 3)(x – 4) (x – 2)(x – 5) (x 2)(x 5)

Mathematics
1 answer:
alexandr402 [8]2 years ago
4 0

The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

b = \alpha + \beta \\ ac =\alpha \times \beta

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

x^2 -7x + 10

We can write 10 as multiple of -5 and -2 and

we can write -7 as sum of -5 and -2. Thus, we get:

x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

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Answer:

Option D: 12\frac{1}{2} is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to 7\frac{1}{2} miles

We will find the unit rate in term of inches.

\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch

Total distance covered by Bonnie according to map;

Total distance = \frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}

Total distance = \frac{5}{4}\ miles

Actual distance = \frac{5}{4}*10 = \frac{25}{2}\ miles \\

Actual distance = 12\frac{1}{2}\ miles

Hence,

Option D: 12\frac{1}{2} is the correct answer.

8 0
3 years ago
I do not know what to put and this was due yesterday
atroni [7]

Answer:

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Step-by-step explanation:

Five plus 6 times a number is equal to 21 minus 2 times the number

Your equation is this:

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5+6x-6x=21-2x-6x

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subtract 21 on both sides

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Hope this helps :)

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It is first answer

Step-by-step explanation:

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1/3 = 0.333

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0.483 x 60 = 28.98 so approximately 29 minutes total driving time

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8 0
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