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4 years ago

Which rational number is one tick mark to the right of Negative Star tFraction 6 Over 4 End Fraction on the number line below?

Mathematics

1 answer:

TiliK225 [7]4 years ago

3 0

Answer:

Negative 1 and one-fourth

Step-by-step explanation:

Number line :

Range = - 2 to + 2

Increment = 1

Number of spaces between each number = 4

Therefore the distance between each tick mark is : Increment / number of spaces = 1/4

Hence,

1 tick mark to the right of - 6/4 = - 1 1/2

-6/4 + 1/4

(-6 + 1) / 4 = - 5 / 4

-5/4 = - 1 1/4

Kindly check an illustration of the number line in the picture below.

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The graph of f '(x) is continuous and decreasing with an x-intercept at x = 2. Which of the following statements must be true? (

bixtya [17]

Answer:

The graph of f is always concave down ⇒ the first answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Remember that : If f(x) is a function then the solutions to the

equation f′(x) = 0 gives the maximum and minimum values to f(x)

- The value of x gives maximum if f′′(x) is negative and minimum if

f′′(x) is positive.

- Inflection points of the function f(x) are found the solutions of the

equation f′′(x) = 0

* Lets solve the problem

- The graph of f'(x) is continuous means that the graph is unbroken line

- The graph of f'(x) decreasing with an x-intercept at x = 2 means

f'(2) = 0

- The differentiation of a function equal to zero at the critical point

(minimum or maximum) of the function

∵ f'(x) = 0 at x = 2

∴ The x-coordinate of the critical point of f(x) is 2

- If the differentiation of the function is decreasing, then the critical

point of the function is maximum point

∵ f'(x) is decreasing

∴ The critical point of the f(x) is maximum point

- That means the slope of curve is negative

∴ The graph of f is concave down at x = 2

* The right answer is the graph of f is always concave down

5 0

3 years ago

What does ^ mean in math?<br> ex: If f(x) = 5 + 4x^2

DedPeter [7]

It’s showing you that’s it’s a squared number
for example, 5^2 = 5 squared = 25

3 0

3 years ago

Read 2 more answers

If the product of 1/2 and 2/5 is subtracted from the sum of 1/2 and 2/5 what is the difference

kozerog [31]

Answer:

7/10

Step-by-step explanation:

Lets set up this word problem as an equation to make it easier to solve.

1/2+2/5 - 1/2 x 2/5

<em>Now lets solve using PEMDAS:</em>

<em />

1/2+2/5 - 1/2 x 2/5 1/2 x 2/5 = 1/5

1/2 + 2/5 - 1/5 1/2 + 2/5 = 9/10

9/10 - 1/5 = 7/10

8 0

4 years ago

What do you need to subtract from 77/10 to make 7

ycow [4]

70/10= 7

So,

77/10-70/10= 7/10

You need to subtract 7/10 from 77/10 to make 7.

I hope this helps!
~kaikers

8 0

3 years ago

Read 2 more answers

What is the measure of the amount of space a solid

Nina [5.8K]

The measure of the amount of space in the object is the volume.

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3 years ago