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4 years ago

Find the domain and range of f(x)=3^x

Mathematics

2 answers:

Margaret [11]4 years ago

6 0

Answer:

Below in bold.

Step-by-step explanation:

x can have any real value - the domain is (-∞, ∞).

f(x) cannot be 0 or negative, no matter how negative x is, - the range is (0, ∞)

Elenna [48]4 years ago

6 0

Answer:

Domain: all real values of x

Range: f(x) > 0

Step-by-step explanation:

f(x) = 3^x

There's no domain restriction, so x can take any real value

Tye graph f(x) has a horizontal asymptote at y = 0 because with a positive base, the output can never be 0 or negative

Hence the range is y > 0

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FrozenT [24]

4 ants = 24 legs 2 spiders = 16 legs
24+16 = 40 legs

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3 years ago

Seth’s bank charges $5 a month to maintain a checking account and $0.50 for each check Seth writes. last month, Seth paid a tota

avanturin [10]

Answer:

C) 3

Step-by-step explanation:

Because she paid 6.50, you subtract that by 5 and it will get you 1.50 and then you divide that by .50 and it gets you your answer.

4 0

2 years ago

What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

The correct question is

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

Verify

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

5 0

3 years ago

A craftsman makes a circular table with a radius of 55

Rudik [331]

Answer:

Hey mate here is your answer...

Step-by-step explanation:

smaller circular table to be made

with a diameter only half as big... and diameter of big table is (2*55)= 110cm.... So half diameter of big is (110/2)= 55cm

therefore, diameter of smaller table is 55cm and radius of it's (55/2)= 27.5cm

circumference of circle = 2πr

= 2*3.14*27.5

= 172.7 cm = 27.5cm

hope it helps you ❣️

7 0

3 years ago

Mr. Musah withdrew some money from the bank. He gave ½ of it to his son and ⅓ to his daughter. if he had GH¢ 500.00 left, how mu

Savatey [412]

Answer:

GH 3000.00

Step-by-step explanation:

1/2 + 1/3 = 5/6

6/6-5/6=1/6

6/6 X 500.00 X6/1

GH 3000.00

5 0

4 years ago