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3 years ago

What is the fraction is less than 5/6 and has denominator of 8?

1 answer:

7 0

Denominator is the number which appears at the bottom of fraction so the fraction we want is in the form X/8 and also less than 5/6

Lets start from changing the values of X from 1.

1/8 = 0.125 and 5/6 = 0.8333

2/8 = 0.25

3/8 = 0.375

4/8 = 0.5

5/8 = 0.625

6/8 = 0.75

7/8 = 0.875, this is greater than 5/6

<span>So, the fractions with denominator 8 and less than 5/6 are 1/8, 2/8, 3/8, 4/8, 5/8 and 6/8</span>

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3 years ago

Graph the following function and identify any shifts, stretches, and symmetry and x and y intercepts:

klasskru [66]

Shifts:

Shifted three units right and two units up to match the blue parabola

Stretches:

It doesn't have any stretches

Symmetry:

$x=3$

x and y intercepts:

x intercpets: It has no x-intercepts

y-intercepts: (0, 11)

<h2>Explanation:</h2>

The pattern of the quadratic function is:

$f(x)=x^2$

Whose graph is shown below as the red parabola.

So here we need to identify some characteristics of:

$y = f(x) = (x - 3)^2 + 2$

Whose graph is shown below as the blue parabola.

As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:

The red parabola has been shifted three units right and two units up to match the blue parabola.

This is so because, for any function:

$y=f(x)$

We have the following transformations:

$y=h(x)=f(x+c)+k \\ \\ \\ \bullet \ c>0 \ Shift \ f(x) \ c \ units \ to \ the \ left \\ \\ \bullet \ c0 \ Shift \ f(x) \ k \ units \ up \\ \\ \bullet \ k$

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is $x=3$ . The y-intercept is (0, 11) is indicated in the figure.

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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3 years ago