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2 years ago

A matrix contains 60 elements. Which of the following cannot equal the number of rows of the matrix?

Mathematics

1 answer:

avanturin [10]2 years ago

6 0

Given:

Matrix = 60 elements

To solve this, we need to take into account that each row must contain the same number of elements. So, we need to find which of the options do not divide evenly into 60 (the options are 30, 60, 10, and 18).

So we check each of the choices to see if 1 of them divides evenly with 60.

60 / 60 = 1 (divides evenly)

60 / 30 = 2 (divides evenly)

60 / 10 = 6 (divides evenly)
60 / 18 = 3.3.3333333333333333333333333333333 (does not divide evenly)

Therefore, 18 cannot equal the number of rows of the matrix.

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Colleen compared the ratios 3:8 and One-half. Her work is shown below. Write the ratios as fractions: Three-eighths and One-half

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This question is Incomplete

Complete Question

Colleen compared the ratios 3:8 and 1/2.

Her work is shown below.

Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2

Where did Colleen make her first mistake?

A. The common denominator should be 4 rather than 8

B. The numerators are compared incorrectly.

C. The fraction 1/2 should have been rewritten as 6/8

D. The fraction 1/2 should have been rewritten as 4/8.

Answer:

D. The fraction 1/2 should have been rewritten as 4/8.

Step-by-step explanation:

Colleen compared the ratios 3:8 and 1/2.

Step 1

Write the ratios as fractions: 3/8 and 1/2

Step 2

Compare the numerators: 3 > 1

Step 3

Compare the denominators 8 >2

Write the correct statement:

3/8 > 4/8

Therefore, D. The fraction 1/2 should have been rewritten as 4/8.

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Step-by-step explanation:

Since $g(x) = -2f(x)$ , then $g(x)$ is:

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In order to find which table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ , you can follow these steps:

1. Substitute $x=1$ into the function $g(x)=-2x-8$ :

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2. Substitute $x=2$ into the function $g(x)=-2x-8$ :

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3. Substitute $x=3$ into the function $g(x)=-2x-8$ :

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Notice that those ouput values (for $x=1,\ x=2$ and $x=3$ ) matches with the table provided in the third option. That table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ :

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Step-by-step explanation:

F(x) and g(x) are said to be continuous functions

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