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svet-max [94.6K]
3 years ago
12

Katlin divided a fraction by 1/2 the result was a mixed number. was the fraction less than or greater than 1/2? EXPLAIN.

Mathematics
1 answer:
julsineya [31]3 years ago
5 0
The fraction was greater than 1/2.

When you divide by a fraction, it is equal to multiplying by its reciprocal. The reciprocal of 1/2 is 2/1, or just 2. Therefore, dividing by 1/2 equals the same thing as when you multiply by 2.

A mixed number has a whole number and a fraction added together. So, the mixed number must be greater than 1.

1/2 is equal to 0.5, and 0.5 multiplied by 2 equals 1. A fraction less than 1/2 multiplied by 2 would equal a number less than 1, while a fraction greater than 1/2 would equal a number greater than 1.

Because a mixed number must be greater than 1, and a fraction greater than 1/2 multiplied by 2 would be greater than 1, the fraction that resulted in a mixed number after being multiplied by 2 must have been greater than 1/2.
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Choose the right classification of 5x + 3x^4 - 7x^3 + 10 by number terms and he degree
jeka57 [31]

Answer:

2. 4th degree polynomial

Step-by-step explanation:

The degree is the highest exponent in the expression. Since the highest exponent is 4, this is a 4th degree polynomial.

8 0
3 years ago
Each graph shown represents a transformation of a parent radical function. Which graphs represent functions with an odd index?
Svetlanka [38]

Answer:

Graphs W and Z

Step-by-step explanation:

Graph of a radical function with even index appears only on one side of the x-axis, while graph of the radical function with odd index appears on both the sides of the x-axis.

Index of the given graphs,

Graph W → Odd index

Graph X → Even index

Graph Y → Even index

Graph W → Odd index

Therefore, graphs W and Z show the radical functions with odd index.

5 0
3 years ago
Read 2 more answers
Use the equation below to find y if m =4 x=5 and b=12 I need help
Eduardwww [97]

Answer:

im sorry but what is the equation. It will have an equation listed below for you to plug in the numbers

Step-by-step explanation:

6 0
3 years ago
Apr 24,8:28:53 AM<br> Find the 98th term of the arithmetic sequence -10,-8, -6, ...
Nata [24]

Answer: 184

Step-by-step explanation:

The nth term of am arithmetic sequence is calculated as:

Nth term= a+(n-1)d

where a = first term

d = common difference

a = -10

d = -8 -(-10) = -8+10 = 2

98th term= a+(n-1)d

= -10 + (98-1)(2)

= -10 + (97×2)

= -10 + 194

= 184

The 98th term of the arithmetic sequence is 184

6 0
4 years ago
Step by Step explanation of Vertex Form of f(x)=x^2-6x-40
NISA [10]

A quadratic in vertex form reads as

(<em>x</em> - <em>a</em>)² + <em>b</em>

where (<em>a</em>, <em>b</em>) is the vertex.

To get the given quadratic in this form, complete the square:

<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 6<em>x</em> + 9 - 49 = (<em>x</em> - 3)² - 49

Or, work backwards by expanding the vertex form and solving for <em>a</em> and <em>b</em> :

(<em>x</em> - <em>a</em>)² + <em>b</em> = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>

So if

<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>,

then

-2<em>a</em> = -6   →   <em>a</em> = 3

<em>a</em>² + <em>b</em> = -40   →   <em>b</em> = -49

6 0
3 years ago
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