The sum of 5 and the twice a number is at most 27

1 answer:

3 0

If you are looking to write an inequality equation that models this situation, then the answer would be: $5+2x\leq 27$ . The "at most" signals to use the less than or equal to sign.

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I need help please help me

Natalija [7]

Answer: D

Step-by-step explanation:

It shows the bar going left, meaning its going higher, and we only marked 2

7 0

3 years ago

Read 2 more answers

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

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