Answer:
f(6) = 1
Step-by-step explanation:
Function:
f(x) = -2/3x + 5
f(6) = -2/3(6) + 5
f(6) = -4 + 5
f(6) = 1
The figure that is not equivalent to 2¾ is 2¼ × 2½. That is option B.
<h3>Simplification of equivalent fractions</h3>
Simplification is a process that is used to make a fraction appear in its simplest forms.
The fraction given is = 2¾
The simplification of the fraction= 2^3/4 = 2
But simplification of 2¼ × 2½ is equal to;
2¼= 0.5
2½= 1
Therefore 2¾ is not equivalent to 2¼ × 2½ when simplified.
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Answer: A. 3072 cm³
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × width × height
Looking at the diagram,
Length = 6 cm
Width = 4 cm
Height = 2 cm
When the measures are multiplied by 4, then
Length = 6 × 4 = 24 cm
Width = 4 × 4 = 16 cm
Height = 2 × 4 = 8 cm
Therefore,
Volume = 24 × 16 × 8 = 3072 cm³
Answer:
- The two solutions are:

- The next and every step are below.
Explanation:
1.
: Given (addition property / add - 3 to both sides)
2.
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

5. Divide both sides by - 2 to get the next expression:

6. The last step is to extract squere root from both sides of the equality:

Complete Question
The complete question is shown on the first uploaded image
Answer:
1

2

3

4

Step-by-step explanation:
Generally the area of a sector is mathematically represented as

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and 


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in and 


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and 


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and 

