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4 years ago

25 fewer than twice a number?

Mathematics

2 answers:

julia-pushkina [17]4 years ago

5 0

Answer:

2x - 25

Step-by-step explanation:

Since we don't know what the number is, just call it x. Twice x can be written as 2x and 25 fewer than 2x is 2x - 25.

Dimas [21]4 years ago

4 0

Answer:

2N-25N

Step-by-step explanation:

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Simplify 3r+n2-r+5-2n+2

Ksenya-84 [330]

2r+7+2n+n2

Because I combined the ones with like terms.

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4 years ago

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The cost of highlighters is proportional to the number of highlighters purchased. If a 4-pack of highlighters costs $2.40, what

Kaylis [27]

Answer:

$0.60 per highlighter

Step-by-step explanation:

You just do $2.40/4 and you get $0.60

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3 years ago

Which ordered pair is a solution to the system of inequalities ? (1, –5) (3, 0) (–1, –2) (1, 5)

Musya8 [376]

Point (3,0) is system solution.

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

We have

y> -2

x + y <4

For (1,-5):

First inequation:

-5> -2 (incorrect)

Second inequality:

1-5 <4 (correct)

For (3,0):

First inequation:

0> -2 (correct)

Second inequality:

0+3 <4 (correct)

For (-1,-2):

First inequation:

-2> -2 (incorrect)

Second inequality:

-1-2 <4 (correct)

For (1,5):

First inequation:

5> -2 (correct)

Second inequality:

1+5 <4 (incorrect)

Hence, Point (3,0) is system solution.

Learn more about inequality here:

brainly.com/question/20383699

#SPJ1

7 0

2 years ago

-0.16 as a fraction or a mixed number in simplest form

irina1246 [14]

Answer:

1/-16

Step-by-step explanation:

8 0

3 years ago

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The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars on advertising is

sattari [20]

Answer:

The company should spend $40 to yield a maximum profit.

The point of diminishing returns is (40, 3600).

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinate Planes

Coordinates (x, y) → (s, P)

Functions

Function Notation

Terms/Coefficients

Factoring/Expanding

Quadratics

Algebra II

Coordinate Planes

Maximums/Minimums

Calculus

Derivatives

Derivative Notation

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

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

1st Derivative Test - tells us where on the function f(x) does it have a relative maximum or minimum

Critical Numbers

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle P = \frac{-1}{10}s^3 + 6s^2 + 400$

Step 2: Differentiate

[Function] Derivative Property [Addition/Subtraction]: $\displaystyle P' = \frac{dP}{ds} \bigg[ \frac{-1}{10}s^3 \bigg] + \frac{dP}{ds} [ 6s^2 ] + \frac{dP}{ds} [ 400 ]$
[Derivative] Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle P' = \frac{-1}{10} \frac{dP}{ds} \bigg[ s^3 \bigg] + 6 \frac{dP}{ds} [ s^2 ] + \frac{dP}{ds} [ 400 ]$
[Derivative] Basic Power Rule: $\displaystyle P' = \frac{-1}{10}(3s^2) + 6(2s)$
[Derivative] Simplify: $\displaystyle P' = -\frac{3s^2}{10} + 12s$

Step 3: 1st Derivative Test

[Derivative] Set up: $\displaystyle 0 = -\frac{3s^2}{10} + 12s$
[Derivative] Factor: $\displaystyle 0 = \frac{-3s(s - 40)}{10}$
[Multiplication Property of Equality] Isolate s terms: $\displaystyle 0 = -3s(s - 40)$
[Solve] Find quadratic roots: $\displaystyle s = 0, 40$

∴ s = 0, 40 are our critical numbers.

Step 4: Find Profit

[Function] Substitute in s = 0: $\displaystyle P(0) = \frac{-1}{10}(0)^3 + 6(0)^2 + 400$
[Order of Operations] Evaluate: $\displaystyle P(0) = 400$
[Function] Substitute in s = 40: $\displaystyle P(40) = \frac{-1}{10}(40)^3 + 6(40)^2 + 400$
[Order of Operations] Evaluate: $\displaystyle P(40) = 3600$

We see that we will have a bigger profit when we spend s = $40.

∴ The maximum profit is $3600.

∴ The point of diminishing returns is ($40, $3600).

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

Unit: Differentiation (Applications)

5 0

2 years ago