What are the asymptote and the Y intercept of the function shown in the graph f(x)=3(0.2)^x+2

Answers

Answer 1

the asymptote is y = 2 and the y - intercept is (0,5)

What is asymptote function?

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique. That is, as approaches from either the positive or negative side, the function approaches positive or negative infinity.

According to the question

The function reaches the y-axis at the point (0,5).

The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.

The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.

Hence, the asymptote is y = 2 and the y - intercept is (0,5)

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Related Questions

The square root of 52 is between which two consecutive Integers?
26 and 27
25 and 26
07 and 8
8 and 9

Answers

The answer is 7 and 8
Answer is Between 7 and 8

In a math quiz, positive marks were given for correct answers and negative marks are given for incorrect answers. If Ankita's scores in five successive rounds were 30, -10, -12, -15 and 20 then find her total score at the end of the quiz.

Answers

Answer:

Her final score is 13

Step-by-step explanation:

To find the total score, we would add them all:

=> 30+(-10)+(-12)+(-15)+20

=> 30-10-12-15+20

=> 20-12-15+20

=> 8-15+20

=> -7+20

=> 13

Answer:13

Step-by-step explanation:

The diagram shows the net of a juice box. The box is a rectangular prism. What is the surface area of the juice box?

Answers

Answer:269.6 square centimeters

Step-by-step explanation:

Janet and Nadia each play basketball. Nadia has won twice the number of games Janet has. Is it possible for Janet to have won 10 games if the sum of the games Nadia and Janet have won together is 24?

Yes; Janet could have won 10 games because 3x = 24.
Yes; Janet could have won 10 games because 2(10) is less than 24.
No; Janet could not have won 10 games because 2x ≠ 24.
No; Janet could not have won 10 games because 3x ≠ 24.

Answers

Answer:

no, janet could not have won 10 games because 3x is not equal to 24

Step-by-step explanation:

if janet won twice as many as nadia that means nadia times 2

so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d

hope this helps

Answer: No; Janet could not have won 10 games because 3x ≠ 24

Step-by-step explanation:

Janet and Nadia won 30 games together. 10x2(10)=30

! !

Find the sum of 9c3d, 6c3d, and -7c2d2.

Answers

Answer 15c3d−7c2d2

Step-by-step explanation:

Identify the coordinates of the point (3,-2), translated 5 units left and 6
units up.
(2,-4)
(-2,-8)
(8,4)
(-2,4)
>
Sign out
US 10:2

Answers

Answer:

(- 2, 4 )

Step-by-step explanation:

A translation of 5 units left means subtract 5 from the original x- coordinate.

A translation of 6 units up means add 6 to the original y- coordinate.

Thus

(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )

The coordinates of the point (3,-2), translated 5 units left and 6

units up are (-2, 4) option (D) (-2, 4) is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The point (3,-2), translated 5 units left and 6 units up.

A 5-unit left translation entails taking 5 away from the initial x-coordinate.

A translation of six units upwards entails multiplying the initial y-coordinate by six.

After applying the translation:

(3, -2) → (3- 5, - 2 + 6) → (-2, 4)

Thus, the coordinates of the point (3,-2), translated 5 units left and 6

units up are (-2, 4) option (D) (-2, 4) is correct.

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Which of the following statements are true? Check all of the boxes that apply.

Answers

Answer: A and C are true.

A) [tex]f\left(x\right)=2\sqrt{x}\ \ and\ \ f\left(x\right)=\sqrt{x}[/tex] both has domain and range = [0, ∞). So A is true.

B) [tex]f\left(x\right)=-2\sqrt{x}[/tex] has range = (-∞, 0] and [tex]\ f\left(x\right)=\sqrt{x}[/tex] has range = [0, ∞). So B is false.

C) Both [tex]\ f\left(x\right)=-\sqrt{x}\ and\ \ f\left(x\right)=\sqrt{x}[/tex] has domain = [0, ∞).

Range of [tex]\ f\left(x\right)=\sqrt{x}[/tex] is =  [0, ∞).

Range of [tex]f\left(x\right)=-\sqrt{x}[/tex] is = (-∞, 0]

So range are different. C is true.

D) Both [tex]f\left(x\right)=\frac{1}{2}\sqrt{x}\ and\ \ f\left(x\right)=\sqrt{x}[/tex] has range = [0, ∞).

So D is false.

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Answer: A and C

Step-by-step explanation:

The complex numbers z1 and z2 are given by z1 = p +2i and z2 = 1 – 2i , where p is an integer

Answers

Answer:

p = ±21

Step-by-step explanation:

Given  z1 = p +2i and z2 = 1 – 2i, If |z1/z2| = 13;

|p+2i/1-21| = 13

To get p from the expression above, we need to rationalize the complex function first.

p+2i/1-21 = p+2i/1-2i * 1+2i/1+2i

= p+2pi+2i+4i²/1-4i²

Since i² = -1;

= p+2pi+2i-4/1+4

= p-4+2i(p+1)/5

= p-4/5 + 2(p+1)/5 i

Then we will take the modulus of the resulting expression and equate to the value of 13 to get p

|p+2i/1-21| = √(p-4/5)²+ (2p+2/5)² = 13

(p-4/5)²+ (2p+2/5)² = 13²

(p-4)²+(2p+2)² = 13²*5²

p²-8p+16+4p²+8p+4 = 4225

5p²+20 = 4225

5p² = 4205

p² = 841

p = ±√841

p = ±21

The possible values of p are 21 and -21

Can someone lend me a hand pleeeeeeeaaaaseeee :D

Answers

Answer:

2x^2 +11

Step-by-step explanation:

f(x) = 3x^2 +2

g(x) = x^2 -9

f(x) - g(x) = 3x^2 +2 - (x^2 -9)

 Distribute the minus sign

        = 3x^2 +2 -x^2 +9

    Combine like terms

         = 2x^2 +11

Answer:

2x² + 11

Step-by-step explanation:

f(x) - g(x)

(3x² + 2) - (x² - 9)

Rearrange.

3x² - x² + 2 + 9

Add or subtract like terms.

2x² + 11

Solve the quadratic equation using quadratic formula :

15x^2 – 11x + 2 = 0​

Answers

Answer:

Using the quadratic formula

x = - b ± √b² - 4ac /2a

15x² - 11x + 2 = 0

a = 15 b = -11 c = 2

x = --11 ± √ (-11)² - 4(15)(2)/2(15)

x = 11±√121-120/30

x= 11±√1/30

x = 11 ± 1/30

x = 11 + 1/30 or x = 11 - 1/30

x = 2/5 or x = 1/3

Hope this helps.

simplify a radical expression below. √3/25​

Answers

Answer:

D

Step-by-step explanation:

This can be broken up into √3 / √25, since √25 = 5 the final answer is √3/5.

Answer:

D. √3/5

hope it helps!

Step-by-step explanation:

√a/b is always written as √a/√b

So √(3/25)

= √3/√25

(√25 = 5 cuz 5*5=25)

= √3/5

So the answer is D.

pls answer and u will get banliest

Answers

Answer:

136°

Step-by-step explanation:

Vertically opposite angles are always equal.

The opposite angle to x is 136°.

Both angles are vertically opposite angles, so they are equal.

Answer:

x = 136 degrees

Step-by-step explanation:

=> x = 136 degrees

Why?

Because x and 136 degrees are vertically opposite angles and vertically opposite angles are congruent.

can someone please help me? thanks!

Answers

Answer:

x = 8

[tex] m\angle A= 30\degree[/tex]

Step-by-step explanation:

By interior angle on one side of transversal postulate.

[tex] m\angle A + m\angle B = 180\degree \\

\therefore (6x - 18)\degree + (14x + 38)\degree = 180\degree \\

\therefore (20x + 20)\degree = 180\degree \\

\therefore 20x + 20 = 180

\therefore 20x = 180 - 20\\

\therefore 20x = 160\\\\

\therefore x = \frac {160}{20}\\\\

\huge \red {\boxed {\therefore x = 8}} \\\\

\because m\angle A= (6x - 18)\degree \\

\therefore m\angle A= (6\times 8- 18)\degree \\

\therefore m\angle A= (48- 18)\degree \\

\huge \purple {\boxed {\therefore m\angle A= 30\degree}} \\[/tex]

Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body.


A. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose?


B. When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount?


C. Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days?

Answers

Step-by-step explanation:

A) The amount is taken during the first dose is - 500 mg

In 10 days, she will take the drugs for 240/12 = 20 times

After 12 hours, 4.5 % of drugs remain in the blood therefore

after the first dose = 500

second dose, 4.5% of  500 + 500 = 22.5 +500 = 522.5 mg

third dose, 4.5 % of 522. 5 + 500 = 523.51 mg

Forth dose, 4. 5% of 523.51 + 500 = 523.55 mg

B) Highest amount will be found on 20th dose.

= 500 x (1-0.045^20/ 1- 0.045)

= 523.55 mg

C) The highest amount in the body is near to 523.55 mg therefore after 10 days also, the amount of drug will remain near the value of 523.55 mg.

Find the circumference of a circle with a radius of 18 in. Leave your answer in terms of. 36πin. 18πin. 54πin. 324πin.

Answers

Answer:

36πin

Step-by-step explanation:

Formula for the circumference of a circle=2πr

r=18

2 · 18

=36

36·π

hope this helps

write down the mathematical name of this shape​

Answers

Answer:

parallelogram

Step-by-step explanation:

Its a parallelogram.

Answer

parallelogram

Step-by-step explanation:

Can you please help !!!

Answers

Answer:

19) x=-3, 20) a=1, 21) b=3, 22) x=8

Step-by-step explanation:

hope that helps, those are the answeres to each question. :)))

Answer:

Step-by-step explanation:

AA display has 666 packs of marbles with a total mass of 629\,\text{g}629g629, start text, g, end text. The packaging of each pack has a mass of \dfrac{2}{3}\,\text{g} 3 2 ​ gstart fraction, 2, divided by, 3, end fraction, start text, g, end text and each marble has a mass of 4\dfrac{1}{2}\,\text{g}4 2 1 ​ g4, start fraction, 1, divided by, 2, end fraction, start text, g, end text. Which equation can we use to determine mmm, the number of marbles per pack?

Answers

Answer:

6\left(\dfrac{2}{3}+4\dfrac{1}{2}m\right)=6296(

3

2

+4

2

1

m)=6296, left parenthesis, start fraction, 2, divided by, 3, end fraction, plus, 4, start fraction, 1, divided by, 2, end fraction, m, right parenthesis, equals, 629 t

Step-by-step explanation:

i got this from khan

left parenthesis, start fraction, 2, divided by, 3, end fraction, plus, 4, start fraction, 1, divided by, 2, end fraction, m, right parenthesis, equals, 629 t

We have given that,

A display has 666 packs of marbles with a total mass of 629\,\text{g}629g629, start a text, g, end text. The packaging of each pack has a mass of \dfrac{2}{3}\,\text{g} 3 2 ​ start fraction, 2, divided by, 3, end fraction, start a text, g, end text, and each marble has a mass of 4\dfrac{1}{2}\,\text{g}4 2 1 ​ g4, start fraction, 1, divided by, 2, end fraction, create a text, g, end text.

What is the total mass?

Total mass means the mass of the shell, its service equipment, and structural equipment, and the heaviest load authorized to be transported.

We have to determine which equation can we use to determine mmm, the number of marbles per pack.

6\left(\dfrac{2}{3}+4\dfrac{1}{2}m\right)=6296(32+421m)=6296,

left parenthesis, start fraction, 2, divided by, 3, end fraction, plus, 4, start fraction, 1, divided by, 2, end fraction, m, right parenthesis, equals, 629 t.

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What value of x is in the solution set of 8x - 6 > 12 + 2x?
-1
e Of
3
5

Answers

Answer:

x > 3

Step-by-step explanation:

Step 1: Isolate x

6x -6 > 12

6x > 18

Step 2: Divide

x > 3

is xsquare+1/xsquare equal5 is quadratic or not

Answers

Answer:

Yes, it is a quadratic equation.

Step-by-step explanation:

Let's solve it to make it a quadratic equation:

=> [tex]\frac{x^2+1}{x^2} =5[/tex]

=> x²+1 = 5x²

=> 5x²-x²-1 = 0

=> 4x²-1 = 0

Comparing it with the standard form of quadratic equation i.e.

[tex]ax^2+bx+c = 0[/tex]

So, we get

a = 4 , b = 0 and c = -1

So, yes. It is a quadratic equation and it is a pure quadratic equation since b is equal to 0.

i need help with this uwu​

Answers

Answer:

300

Step-by-step explanation:

Change the fractions so that they have a common denominator.

2/3 = 4/6

1/2 = 3/6

The difference between 4/6 and 3/6 is 1/6. This is the number of people who left the concert (50) as the fractions changed after they left.

Since 4/6 - 3/6 = 1/6 which also = 50, the total number of seats, 6/6 = 50 × 6 = 300

please help Multiply -4w(w+2)

Answers

Answer:

-4w² - 8w

Step-by-step explanation:

All you need to do is distribute -4w. That means to multiply -4w to w and 2 separately. When you multiply -4w to w, you will get -4w² and when you multiply -4w to 2, you will get -8w.

-4w^2-8
the -4w becomes squared and you multiply -4 and 2

Please help me with this math problem please

Answers

Answer:

(2y+3)(y^2+7)

Step-by-step explanation:

2y^3  + 3y^2        + 14y +21

Factory^2 from the first group and    7 from the second group

y^2(2y+3)     + 7(2y+3)

Factor out (2y+3)

(2y+3)(y^2+7)

3(7x+2)+6x plz answer

Answers

Answer:

27x +6

Step-by-step explanation:

3(7x+2)+6x

Distribute

21x+6 +6x

Combine like terms

27x +6

Answer:

The answer is 21x + 6

Step-by-step explanation:

1.) Multiply 3 to 7x and 2 since these ( ) means times whatever is inside them.

2.) Now you have 21x and 6, add 21x to 6x to equal 27x.

3.) Finally, you have your answer. 27x + 6.

Make L the subject of the formula T=2π√L\G​ ​

Answers

Answer:

[tex]L=(\frac{TG}{2\pi })^2[/tex]

Step-by-step explanation:

[tex]T=2\pi \sqrt{L}/G[/tex]

[tex]TG=2\pi \sqrt{L}[/tex]

[tex]\frac{TG}{2\pi } =\sqrt{L}[/tex]

[tex](\frac{TG}{2\pi })^2 =L[/tex]

Answer:

[tex]l = {( \frac{tg}{2\pi}) }^{2} [/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. Write an expression for how many pieces each child received. A. 7−c3 B. C−73 C. C−73 D. 7−c3

Answers

Answer : The expression will be

( c - 7 ) / 3

Step-by-step explanation:

Let's say Adam has c pieces of candy

He took ten pieces for himself which means we can write this as c-7

He then divided this amount between his 3 children (c-7)/3

find the total surface area of this triangular prism

Answers

Answer:

144 cm²

Step-by-step explanation:

There are five total sides to the triangular prism. The formula for the area of a rectangle is length · width. The formula for the area of a triangle is 1/2 base · height.

10 · 4 = 40

6 · 4 = 24

8 · 4 = 32

1/2(6 · 8) = 48/2 = 24

1/2(6 · 8) = 48/2 = 24

Add the surface area for each side to get the total surface area.

40 + 24 + 32 + 24 + 24 = 144 cm²

Trapezoid ABCD is graphed in a coordinate plane.
What the area of the trapezoid?

16 square units
24 square units
32 square units
48 square units

Answers

Answer: 24 square units

Step-by-step explanation:

The Area of a trapezoid is:

1/2 (a + b) h

Where ;

a = Length of base 1

b = length of base 2

h = height of trapezium

From the diagram attached :

a = Length of BC =(-1 to 3) =4units

b = length of AD =(-3 to 5) = 8 units

h = (-2 to 2) = 4 units

Plugging the values :

Area = 1/2 ((4 + 8)2)

Area = 0.5 × (12) × 4 = 12

Area = 6 × 4 = 24square units

evaluate 0.53n + 5 when n= 3 and when n= -3

Answers

Answer:

6.59 and 3.41

Step-by-step explanation:

To evaluate, substitute n for each of the given values.

So when n= 3:

0.53n + 5 = 1.59 + 5 = 6.59

And when n = -3

0.53 n + 5 = -1.59+5=3.41

Hope this helps

Not p has a truth value of 1 minus p. P logical and q has a truth value equal to the minimum of p and q. P logical or q has a truth value equal to the maximum of p and q. P right arrow q has a truth value equal to the min of 1 and 1 minus p plus q. P left right arrow q has a truth value equal to 1 minus StartAbsoluteValue p minus q EndAbsoluteValue. Suppose the statement​ "p: The sun is​ shining" has a truth value of 0.57 and the statement​ "q: Mary is getting a​ tan" has a truth value of 0.08. Find the truth value of

Answers

yes jxjfnsuspfjidheagdkhrsojieeidhj

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