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Natasha_Volkova [10]
3 years ago
15

Devaughn is 14 years younger than Sydney. The sum of their ages is 76. What is Sydney's age?​

Mathematics
2 answers:
ad-work [718]3 years ago
5 0

9514 1404 393

Answer:

  Sydney is 45

Step-by-step explanation:

Let s represent Sydney's age. Then Devaughn's age is (s-14). The total of their ages is ...

  s +(s -14) = 76

  2s = 90 . . . . . . simplify, add 14

  s = 45 . . . . . . . divide by 2

Sydney's age is 45.

___

<em>Check</em>

  Devaughn's age is 45 -14 = 31. Their age total is 45 +31 = 76, as required.

Mamont248 [21]3 years ago
5 0

Answer:

x + (x - 14) = 76

2x - 14 = 76

2x = 90

x = 45

Sydney is 45

45 - 14 = 31

Devaughn is 31

31 + 45 = 76 ✅

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One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
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Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

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The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

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The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

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==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

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