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3 years ago

Tell whether -3 is a solution of the inequality 3-4r >_ 15

Mathematics

1 answer:

iragen [17]3 years ago

6 0

Answer:

-3 is a solution.

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

Step-by-step explanation:

Step 1: Define

3 - 4r ≥ 15

Step 2: Solve for r

[Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12
[Division Property of Equality] Divide -4 on both sides: r ≤ -3

Step 3: Compare

Substitute in r: -3 ≤ -3

This is true. -3 is less than or equal to -3.

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Step-by-step explanation:

convert 8.5% to a decimal by dividing by 100:

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3 years ago

2. What is the sum of two numbers that are additive inverses?

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Answer:

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3 years ago

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max2010maxim [7]

Based on the right angle triangle and the given parameters, cos K = 5/13

<h3>Trigonometric ratios</h3>

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

Tan = opposite / adjacent

Given parameters:

Hypotenuse = 13
Adjacent = 5
Opposite = 12

Therefore,

cos K = adjacent / hypotenuse

cos K = 5/13

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2 years ago

What is the interest earned on $3000 at a rate of 0.04 for three years? The formula is interest equals (principal) (rate) (time)

bekas [8.4K]

Answer:

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Rate of interest (R) = 0.04

Time period (T) is given as 3 years

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$SI = Principal \times Rate of Interest \times Time$

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3 years ago

The formula for the nth term of an arithmetic sequence can be found using the formula a Subscript n Baseline = a Subscript 1 Bas

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A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

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$\rm a_n = a_1 + (n-1)d$

Then arrange the equation for n, we have

$\begin{aligned} \rm a_n - a_1 & \rm = nd - d\\\\\rm a_n - a_1 + d & \rm =nd\\\\\rm n & \rm = \dfrac{a_n - a_1 + d}{d} \end{aligned}$

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2 years ago

Tell whether -3 is a solution of the inequality 3-4r >_ 15​

Tell whether -3 is a solution of the inequality 3-4r >_ 15