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Maslowich
2 years ago
7

TUTTI

Mathematics
1 answer:
Inessa05 [86]2 years ago
4 0

Answer:

See Explanation

Step-by-step explanation:

Solving (a): The Variables

The variables are the ages of Jaime, Crystal and Marissa;

Let

x represents Jaime's age;

y represents Crystal's age;

z represents Marissa's age

Solving (b): Equation

x = 3 + y

z = 2x

x + y + z = 45

Solving (c): Result of the equations

x = 3 + y -- (1)

z = 2x -- (2)

x + y + z = 45 -- (3)

Make y the subject in (1)

y = x - 3

Substitute y = x - 3 and z = 2x in (3)

x + y + z = 45

x + x - 3 + 2x = 45

Collect Like Terms

x + x + 2x = 45 + 3

4x= 48

Solve for x

x = 48/4

x = 12

Substitute x = 12 in y = x - 3 and z = 2x

y = x - 3

y= 12 - 3

y = 9

z = 2x

z = 2 * 12

z = 24

This implies that;

Jaime is 12; Crystal is 9 and Marissa is 24 years old

Solving (d): Essence of the question

The question asks that we solve for the ages of Jaime, Crystal and Marissa

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Answer:

Step-by-step explanation:

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3 0
2 years ago
An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
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Answer:

C

Step-by-step explanation:

In general for arithmetic sequences, recursive formulas are of the form

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and the explicit formula (like tₙ in your problem), are of the form

aₙ = a₁ + (n - 1)d,

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Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.

6 0
3 years ago
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