help please thank you

Answer:

For a function y = f(x), the domain is the set of the possible values of x that we can input, while the range is the set of the possible outputs of the function.

In this case we gave y = f(x) = (1/3)^x

A) Domain

To see the domain we always start assuming that the domain is the set of all real numbers, and then see if there is a real number that causes any problem.

(for example if we had a denominator like "x - 2", the point x = 2 would cause problems because it would make the denominator equal to zero, and we can not divide by zero)

Particularly because x is the exponent, we do not have any problem here, so the domain is the set of all real numbers:

D: = R

B) Range.

To find the range we usually need to find the smallest value of the function.

Here we have:

y = (1/3)^x

Is really easy to see that as x increases, the denominator increases but the numerator remains the same, then as x increases, the value of y decreases.

For example for x = 100 we will have:

y = 1/3^100 ≈ 0

(you also can see that y will never be a negative value, and as x increases the value of y tends to zero)

then:

0 < y

And if we have x negative, like x = -3 for example.

y = (1/3)^-3 = (3/1)^3 = 3^3 = 27

So if x decreases (or increases in the negative value) then the value of y increases, so we do not have any upper limit.

Then the range is only defined by

0 < y.

We can write the rane as:

R: (0, ∞)

C) The y-intercept is the value of y when x= 0

y = (1/3)^0 = 1

(for any number different than zero N, we have that N^0 = 1)

the y-intercept is 1

D) The asymptote is a tendency to a given value, such that the function never does reach that value.

Here we have two asymptotes.

y tends to infinity as x tends to negative infinity.

y tends to zero as x tends to infinity.

Answer:

The answer is D

Step-by-step explanation:

Multiply 24 km by 3.14 (π) and round to the nearest tenth like in the instructions.

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

Answer:

A lot of expressions have a greater value that 8.

Step-by-step explanation:

Answer:

So 8 more than 'x' is: x + 8.

Answer:

58

Step-by-step explanation:

Answer:

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

Answer: 154

Step-by-step explanation: 26 + x = 180, subtract 26 from both sides, x = 154

Answer:

30 degrees

hope it helps

Answer:

lateral surface area of cone =πrl=3×8.5π=80.11in²

total surface area of cone =πr(r+l)=π×3(3+8.5)=108.38in²

Answer: you could buy 12 magazines

Step-by-step explanation:

each magazine is $2

Answer:

If 5 magazines = $10.00

Then,

10. 20

15. 25

20.30

Step-by-step explanation:

the answer would be 15

Answer:

2nd option

Step-by-step explanation:

8[tex]x^{4}[/tex] - 4x³ - x + 2 - (2[tex]x^{4}[/tex] - 8x² - x + 10) ← distribute by - 1

= 8[tex]x^{4}[/tex] - 4x³ - x + 2 - 2[tex]x^{4}[/tex] + 8x² + x - 10 ← collect like terms

= 6[tex]x^{4}[/tex] - 4x³ + 8x² - 8

Answer:

they are already correct first true second true third false and 4th true

Step-by-step explanation:

np brainliest?

Answer:

the area is 20 feet^2

Step-by-step explanation:

For area, you multiply the lengths together

Answer:

[tex]y = \frac{3}{5}x - 2[/tex]

Step-by-step explanation:

First, find two points that are located on the given line. In this case, we will use the following points:

(-5 , -5) , (0 , -2)

First, find the slope. The slope can be found using the slope formula:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1 , y_1) = (0 , -2)\\(x_2 , y_2) = (-5 , -5)[/tex]

Plug in the corresponding numbers to the corresponding angles:

m = [tex]\frac{-5 - (-2)}{-5 - 0}[/tex]

Simplify. Combine like terms, and then divide:

m = [tex]\frac{-5 + 2}{-5 - 0} = \frac{-3}{-5} = \frac{3}{5}[/tex]

Plug in [tex]\frac{3}{5}[/tex] into the slope (m), and a point into (x , y) to find the y-intercept:

[tex]y = \frac{3}{5}x + b\\-2 = \frac{3}{5}(0) + b\\-2 = 0 + b\\-2 = b\\b = -2\\[/tex]

Your answer:

[tex]y = \frac{3}{5}x - 2[/tex]

Answer:

x = -1/3 or x = -4

Step-by-step explanation:

Answer:

x= [tex]\frac{-1}{3}[/tex]

x= -4

Step-by-step explanation:

[tex]6x^2+28x-2=2x-10[/tex]

Subtract 2x - 10 from both sides.

[tex]6x^2+26x+8=0[/tex]

[tex]x= \frac{ -(26) +/ \sqrt{(26)^2-4(6)(8)} }{2(6)}[/tex]

x= [tex]\frac{-26 +/\sqrt{676-4(6)(8)} }{2(6)}[/tex]

x= [tex]\frac{-26 +/ \sqrt{676-192} }{2(6)}[/tex]

x= [tex]\frac{-26+/\sqrt{484} }{2(6)}[/tex]

x= [tex]\frac{-26+/22}{12}[/tex]

x= [tex]\frac{-26+22}{12}[/tex]  = -0.33333333333333 = -1/3

x= [tex]\frac{-26-22}{12}[/tex]= -4

Answer:

700pi

Step-by-step explanation:

2pi(10)^2+2pi(10)(25)

Answer:

a) 12.5 in

b) 9.6 ft

Step-by-step explanation:

Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.

You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!

Hope this helps! :)

To find the coordinates of points A and B, go to Desmos and graph the given equation.

The word gradient means slope.

The slope is the coefficient of x in the equation. See it?

The gradient is 2.

Answer:

A. 24 units

Step-by-step explanation:

Answer:

I’m pretty sure it’s D

Step-by-step explanation:

A. Lets convert millimeters into kilometers.

[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]

since 4000000mm = 4km, A is true. (Not the answer)

B. Lets convert millimeters into centimeters.

[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]

Since 300mm > 3cm, B is true. (Not the answer)

C. Lets convert millimeters to meters.

[tex]1000mm = 1m \\ 1m = 1000mm \\ 1 \times 5 = 1000 \times 5 \\ 5m = 5000mm[/tex]

Since 5m = 5000mm, C is NOT true. (Answer)

D.Lets convert metres to kilometres.

[tex]1km = 1000m \\ 1 \times 2 = 1000 \times 2 \\ 2km = 2000m \\ 2km < 20km[/tex]

Since 2000m < 20km, D is true. (Not the Answer.)

Answer:

7

Step-by-step explanation:

8 x 0 = 0

0+7=7

Answer:

Y = 7

Step-by-step explanation:

Since X is 0, 8 times 0 is still 0. That leaves 0+7, which is 7. Y is equal to 7.

Answer:

A = 28.274ft^2

Step-by-step explanation:

Since we have the radius, we can find the area of the circle if it was a full circle.

[tex]A = \pi r^{2}[/tex]

Plug in the radius of 6 feet:

[tex]A = \pi 6^{2}[/tex] = [tex]113.09734[/tex]

With the area of the full circle, we can divide the area by 4 to get the area of a quarter of that circle.

[tex]113.09734 / 4 = 28.274335[/tex] or about [tex]28.274ft^{2}[/tex]

Answer:

number one is c y= -3/4x+8 and b is Formula for hourly rate from salary

To figure out your hourly wage based on your yearly salary, all you do is this: Take your yearly salary and divide that number by 52 (the number of weeks in a year) and then by 40 (the number of hours in a standard work week).

Step-by-step explanation:

Answer: 44g

Step-by-step explanation:

Half life refers to the length of time it takes for half of the atoms of the element in question to decay.

The half life here is 1 minute which means that in a minute, the amount of protactinium left would be:

= 352 / 2

= 176g

After the second minute:

= 176 / 2

= 88g

After the third minute:

= 88 / 2

= 44g

I think it's how you do this!

5495 + 200.75x = 7500 + 100.50x

100.25x = 2005

x=20 <- the amount of sugar at the equilibrium point.

7500 + 100.50(20)

7500 + 2005

$9505 <- the cost at that point. ■

Answer:

60, 120, 180, 240, 300, 360

Step-by-step explanation:

a(n)=60n

At n =1

a(1) = 60(1) = 60

At n = 2

a(2) = 60(2) = 120

At n = 3

a(3) = 60(3) = 180

At n = 4

a(4) = 60(4) = 240

At n = 5

a(5) = 60(5) = 300

At n = 6

a(6) = 60(6) = 360

60, 120, 180, 240, 300, 360

Answer:

Step-by-step explanation:

It depends on what level you are. Logs are most easily developed by using a series for the natural logarithms (instead of base 10, you use base e). Even that is a difficult process using a series that you won't be introduced to until your second calculus course..

For now, I'd be content to use a calculator. The series does not converge terribly quickly.