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3 years ago

Select the points that are solutions to the system of inequalities. Select all that apply

Mathematics

1 answer:

Nana76 [90]3 years ago

8 0

Answer:

(-10, 10) and (0,10).

Step-by-step explanation:

For a point to be a solution to the system of inequalities, you will need to see which of the points falls into the shaded area.

When we test out each of the points, we can see that only:

(-10, 10) and (0,10) fall into the blue-shaded area.

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Answer:

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x= -9

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Step-by-step explanation:

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What is 0.3111111111111111 as a fraction?

Citrus2011 [14]

$\sf~N=0.3\overline{1}$

There is only one repeating number, so we multiply both sides by $\sf10^1$ or $\sf10$ .

$\sf10N=3.\overline{1}$

Now subtract the original number we had to both sides, which is the same as $\sf~1N$ or $\sf~N$

So we have:

$\sf9N=2.8$

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$\sf~N=\dfrac{28}{90}$

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3 years ago

Use the function f(x) to answer the questions.

fiasKO [112]

Answer:

Below in bold.

Step-by-step explanation:

A. −16x2 + 24x + 16 = 0

-8(2x2 - 3x - 2) = 0

-8(2x + 1 )(x - 2) = 0

x = -0.5, 2.

So the x-intercepts are (-0/5, 0) and (2, 0).

B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.

To find its coordinates we convert the function to vertex form:

f(x) = −16x2 + 24x + 16

= -16(x^2 - 1.5x) + 16

Completing the square on contents of the parentheses:

= -16 [(x - 0.75)^2 - 0.75^2] + 16

= -16(x - 0.75)^2 - 16 * -0.75^2 + 16

= -16(x - 0.75)^2 + 9 + 16

= -16(x - 0.75)^2 + 25.

So the coordinates of the vertex are (0.75, 25)

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3 years ago