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3 years ago

Sketch the graph of the given function. Then state the function’s domain and range. 5(2^x)-3

Mathematics

2 answers:

alisha [4.7K]3 years ago

5 0

Answer:

see below for a graph
domain: (-∞, +∞)
range: (-3, +∞)

Step-by-step explanation:

An exponential function is defined for all values of the independent variable, so the domain is (-∞, +∞).

The function has a horizontal asymptote at y=-3, so the range is all values above that: (-3, +∞).

tia_tia [17]3 years ago

3 0

I hope this helps you

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The shaded region in the graph represents the solutions of this system of linear inequalities:

kotegsom [21]

Answer:

$y$

$y\leq 2x+3$

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

$m=(11-3)/(4-0)\\m=8/4=2$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$b=3$ ----> the y-intercept is the point (0,3)

substitute

$y=2x+3$

therefore

The inequality is

$y\leq 2x+3$

step 2

Find the equation of the dashed line

The slope is given

$m=4$

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=4$

$b=-5$

substitute

$y=4x-5$

therefore

The inequality is

$y$

because the shaded region is below the dashed line

therefore

The system of inequalities is

$y$

$y\leq 2x+3$

8 0

3 years ago

can some one also please help my one that i should do after i finds the area of the square aka how to find the area of the trian

Andre45 [30]

Answer:

6 square units

Step-by-step explanation:

Given shape is of a trapezoid:

$area \: of \: trapezoid \\ = \frac{1}{2} \times (4 + 2) \times 2 \\ \\ = 6 \: {units}^{2}$

Area of shape = area of square + area of triangle

$= 2^2 + \frac{1}{2} \times 2\times 2\\= 4 + 2\\= 6\: units^2 \\$

4 0

3 years ago

Find the surface area of a sphere that has a volume of 288 pi cu. in.

icang [17]

Answer:

144

Step-by-step explanation:

The surface area of a sphere that has a volume of 288π cu in is 144 pi.

6 0

3 years ago

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Helpppp big brains am I right??

noname [10]

Answer:

y=3x+4

Step-by-step explanation:

This is the correct answer

7 0

2 years ago

Mr. Duncan bought a table at a discount if 30% thus saving $42. what was the marked price of the table?

katovenus [111]

Answer:

$140

Step-by-step explanation:

if 30% of full price = $42 then 100% = 42/0.3 = 140

5 0

3 years ago

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