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2 years ago

3 times the first of three consecutive odd integers is 3 more than twice the third? what is the third integer

Mathematics

1 answer:

fenix001 [56]2 years ago

4 0

Answer:

Step-by-step explanation:

The difference between consecutive integers is 1.

The difference between consecutive odd integers is 2.

Let the smallest odd integer be x.

Then the next greater one is x + 2. The greatest one is x + 4.

"3 times the first" is 3x

"twice the third" is 2(x + 4)

"3 times the first of three consecutive odd integers is 3 more than twice the third"

3x = 2(x + 4) + 3

3x = 2x + 8 + 3

x = 11

The smallest integer is 11.

x + 4 = 11 + 4 = 15

The greatest one is 15.

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2 years ago

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2 years ago

A minor league baseball team plays 101 games in a season. If the team won 14 more than twice as many games as they lost, how man

vagabundo [1.1K]

A minor league plays 101 games,
They win 14 more than twice as many as they lost.
How many wins and loses?

Okay, simple.
First, write a simple addition equation. In this case wins = w and losses = l.
l + w = 101.

Now, we have to figure out a way to make one of the terms the same term as the other, in this case we can change the terms of w to l.
l = l
w = 2l +14 (14 more than twice the amount)

Okay. So plug in the new amount for w.
l + 2l + 14 = 101. Great! we now have a simple equation. lets solve.
put similar terms together.
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Hope this helps!

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3 years ago

What is the derivative of 3x+5x

Vaselesa [24]

Answer:

$\displaystyle \frac{d}{dx}[3x + 5x] = 8$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = 3x + 5x$

Step 2: Differentiate

Simplify: $\displaystyle y = 8x$
Derivative Property [Multiplied Constant]: $\displaystyle y' = 8\frac{d}{dx}[x]$
Basic Power Rule: $\displaystyle y' = 8$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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2 years ago

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Step-by-step explanation:

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