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ale4655
1 month ago
7

Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. H

e says his grandmother’s age is, at most, 3 years less than 3 times his own age. Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age. Inequality 1: g > 80 Inequality 2: g ≤ 3k – 3 Which inequality did Jane write incorrectly, and how could it be corrected?
Mathematics
2 answers:
tester [12.3K]1 month ago
6 0
Inequality 1 is wrong. The first equation indicates that his grandmother cannot be older than 80 years. If we limit to integers, her age could be 80, but nothing greater. The appropriate inequality must be expressed as g < 81 or, for strict accuracy, g ≤ 80. The second equation is accurate. Her maximum age can be expressed as g = 3k - 3, so it is more suitably written as g ≤ 3k - 3.
AnnZ [12.3K]1 month ago
4 0
Inequality 1 contains an error; it should be expressed as g ≤ 80.
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What is the value of the product (4 – 2i)(6 + 2i)? 20 – 4i 20 + 16i 28 + 16i 28 – 4i
Zina [12379]

(4 – 2i)(6 + 2i)

Use FOIL

First: 4 multiplied by 6 equals 24

Outer: 4 times 2i gives 8i

Inner: -2i times 6 results in -12i

Last: -2i times 2i equals -4i², which simplifies to 4

Combine the results

24 + 8i - 12i + 4

Final result: 28 - 4i

The answer is: 28 - 4i

8 0
2 months ago
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babunello [11817]
Which equivalent fraction corresponds to \frac{2}{6}? - \frac{3}{7} since \frac{2}{6}= \frac{2 + 1}{6 + 1} - \frac{3}{9} as \frac{2}{6}= \frac{1}{3} and \frac{1}{3} = \frac{3}{9}

- \frac{3}{12} because \frac{2}{6}= \frac{1}{3} and \frac{1}{3} = \frac{3}{9}

- \frac{3}{8} since \frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}

The answer is

- \frac{3}{9} because \frac{2}{6}= \frac{1}{3} and \frac{1}{3} = \frac{3}{9}

A fraction is deemed equivalent if it maintains the same value when expressed in simplest terms. The equivalent to \frac{2}{6} is found in the chosen option;

First, halve both the numerator and denominator by 2

\frac{2/2}{6/2}

Then reduce further

2/2 = 1 and 6/2 = 3; Thus;

\frac{2/2}{6/2} = \frac{1}{3}

Next, multiply both the numerator and denominator by 3

\frac{1*3}{3*3} = \frac{3}{9}

Therefore, \frac{2}{6} equals \frac{3}{9}.

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2 months ago
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Answer:

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Step-by-step-explanation:

The illustration referenced, which depicts the multiplication of the trinomial with the binomial, is provided in the image below.

To identify where Chin's multiplication went wrong and to establish the correct expression, we'll analyze each multiplication performed. Therefore, we have:

3x*x² = 3x³

3x*2x = 6x² (the mistake occurred here, as Chin recorded it as 6x in the chart)

3x*4 = 12x

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Thus, the term 6x should indeed be corrected to 6x²

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the calculations are illustrated and displayed

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