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3 years ago

C. One Solution

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

Answer:

One Solution

Step-by-step explanation:

p+9=2p-3

subtract 9 from both sides

p+9=2p-3

-9 -9

simplify

p=2p-12

subtract 2p from both sides

p=2p-12

-2 -2

simplify

-p= -12

divide both sides by -1

p=1

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4 years ago

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A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

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Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

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3 years ago

Evaluate the function: f(-x)=x^2+9x-6

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Answer:

f(-x) = x² - 9x - 6

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions

Function Notations

Step-by-step explanation:

Step 1: Define

Identify.

f(x) = x² + 9x - 6

Step 2: Evaluate

Substitute in x [Function f(x)]: f(-x) = (-x)² + 9(-x) - 6
[Order of Operations] Simplify: f(-x) = x² - 9x - 6

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Step-by-step explanation:

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