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sleet_krkn [62]
3 years ago
13

The difference of a number and sixteen​

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

This is it if you want it written as an equation:

n - 16

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Dylan is six years older than his sister. If his sister's age is represented by the variable s, which of the following expressio
FromTheMoon [43]

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HI! That would be s + 6. aka C. <3 have a good day/night

Step-by-step explanation:

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3 years ago
Amna wants to rent a boat and spend less than 51 . The boat costs 6 per hour, and Amna has a discount coupon for 3 off What are
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3 years ago
Show all work to factor x^4 − 17x^2 + 16 completely.
Dmitrij [34]

Answer:

x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of x^{4}-17x^{2} +16

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ x^{4} = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

   (a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of x^{4}-17x^{2} +16

∴  x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

8 0
3 years ago
If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof
Svetradugi [14.3K]

Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

8 0
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For the food described, find what percent of total calories is from fat. If necessary, round
topjm [15]
45 is what percent of 190
45/190 = 0.2368
Make it into a percentage
0.2368 * 100 = 23.7
23.7% of the food is from fat
3 0
3 years ago
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