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3 years ago

Piece-wise functions

Mathematics

1 answer:

wolverine [178]3 years ago

4 0

Answer:

see the attachment for a graph
domain: all real numbers
range: -6 and y>-5

Step-by-step explanation:

The graph below was created by a graphing utility.

It shows no horizontal gaps: f(x) is defined for all values of x, so the domain is all real numbers.

It shows a vertical gap between y=-6 and y>-5. So, the range is in two parts:

{-6} ∪ {y > -5}

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For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le

sp2606 [1]

<h3>The measurement of the central angle is 135 degrees</h3>

Solution:

The length of arc when angle given in degrees is given as:

$Arc\ length = \frac{ \theta }{360} \times 2 \pi r$

Where,

r is the radius

$\theta$ is the central angle in degrees

From given,

$r = 6\ feet\\\\Arc\ length = \frac{ 9 \pi }{2}\ feet$

Substituting the values we get,

$\frac{9 \pi }{2} = \frac{ \theta }{ 360} \times 2 \times \pi \times 6\\\\9 \times 360= \theta \times 24\\\\\theta = 135$

Thus the measurement of the central angle is 135 degrees

4 0

3 years ago

Why do interest rates on loans tend to be higher in a strong economy than in a weak one?

BartSMP [9]

the answer is A.

Credit markets increase in a strong economy, and with increased demand come increased prices.

8 0

3 years ago

Read 2 more answers

Please hurry.

Pie

Answer:

3i-1

Step-by-step explanation:

2+3i-3

3i-1

4 0

4 years ago

What equation will give the perimeter of the figure? HELP HELP HELP

nata0808 [166]

Answer:

(2l + 2w) + (a + b + c)

Step-by-step explanation:

The formula for the perimeter of a rectangle is

P = 2l + 2w

so if you substitute, it becomes

P = 2(12) + 2(2)

= 24 + 4

= 28

For the perimeter of a triangle the correct formula would be

P = a + b + c

The missing side in the triangle is 3 because 15 - 12 is 3.

If you substitute, it becomes

P = 2 + 3 + 6

P = 11

If we add both perimeters together we get the full perimeter of the figure which is

28 + 11 = 39

I am not sure if you wanted the answer as well but just in case :)

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3 years ago

What is thesum of the two polynomials ? (-x^2+9)+(-3x^2-11x+4)

True [87]

-x^2 + 9 - 3x^2 - 11x + 4
-4x^2 - 11x + 13

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3 years ago