how do you write 0.8 recurring as a fraction?

please can i have an explanation aswell :)

Answers

Answer 1

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = [tex]\frac{8}{9}[/tex]


Related Questions

The terminal side of an angle in standard position passes through p(–3, –4). what is the value of tangent theta?

Answers

Answer:

  4/3

Step-by-step explanation:

The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...

  tan(θ) = y/x

__

For the given point on the terminal side, the tangent is ...

  tan(θ) = (-4)/(-3) = 4/3

_____

Additional comment

There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:

  (x, y) = (r·cos(θ), r·sin(θ))

Then the ratio y/x is ...

  y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)

Consider the triangles.

Triangle P E C has angles 60 degrees, 58 degrees, blank. Triangle X W J has angles 58 degrees, 60 degrees, blank.

What can be concluded about these triangles?
Two pairs of corresponding angles are congruent, so the triangles are similar.
Two pairs of corresponding angles are congruent, so the triangles are congruent.
Angle J is congruent to angle P.
Angle C is congruent to angle W.

Answers

Two pairs of corresponding angles are congruent, so the triangles are similar.

The correct option is (A).

What is similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

As, the measurement of two angles are equal.

So, the angles are congruent.

Hence, by AA criteria the triangles are similar.

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Answer:

A

Step-by-step explanation:

the interest paid for borrowing qn amount of money for 3yrs at the rate of 4%is n108 find the amount of the money borrowed

Answers

Answer:

$864.94

Step-by-step explanation:

So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x    where r is the growth rate (interest rate)

So the equation can be written as

[tex]m= P(1.04)^t[/tex]    where m represents the amount of money over time, P represents the principle amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount

[tex]I = P(1.04)^t-P[/tex]  where I represents the interest paid.

plug the values into the equation

[tex]108 = P(1.04)^3-P\\108 = P(1.124864) - P\\108 = 0.124864P\\\\864.941 = P[/tex]

Consider the function f(x) = 10x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)?

Answers

The function g(x) gets shifted toward right by 6 units. Then the correct option is C.

The complete question is attached below.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The function f(x) is given below.

f(x) = 10ˣ

And the function g(x) is given as

g(x) = f(x – 6)

Then the function can be written as

[tex]\rm g(x) = 10^{x - 6}[/tex]

The function g(x) gets shifted toward right by 6 units.

Then the correct option is C.

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PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLEIST​

Answers

Answer: 55[tex]m^{2}[/tex]

Step-by-step explanation:

First find the area of the trapezoid: [tex]\frac{b1 +b2}{2}[/tex](h) : (base 1 + base 2) ÷ 2 x height

base 1 is 5m and we know the other base is parallel to the base of the rectangle so base 2 is 9m.

Since the total height is 7 m and the height of the rectangle is 5 m, subtract to get the height of the trapezoid: 7m - 5m = 2m

put the three values into the equation and solve:

(5m + 9m) ÷ 2 x 2m

(14m) ÷ 2 x 2m

7m x 2m

14[tex]m^{2}[/tex]

Find area of the rectangle which is just base x height

Which is 9m x 5m = 45[tex]m^{2}[/tex]

To find the total area, add the area of the trapezoid and the area of the rectangle. 14[tex]m^{2}[/tex] + 45[tex]m^{2}[/tex] = 55[tex]m^{2}[/tex]

Hope this helps

Gavin and Mark have played 28 tennis matches.
Gavin has won 17 times.
Mark won the rest.
a) Estimate the probability that Gavin wins.
b) Estimate the probability that Mark wins.
OP(Gavin wins)=
P(Mark wins)=

Answers

Gavin wins cause Mark has 11 wins

(y ^ 4 * y ^ n)/(y ^ 2) = y ^ - 3 Find the value of n. (2 marks)

Answers

Answer:

n = -5

Step-by-step explanation:

Given:

  [tex]\dfrac{y^4 \cdot y^n}{y^2}=y^{-3}[/tex]

Multiply both sides by y²:

[tex]\implies \dfrac{y^4 \cdot y^n}{\diagup \!\!\!\!\!y^2} \cdot \diagup \!\!\!\!\!y^2=y^{-3}\cdot y^2[/tex]

[tex]\implies y^4 \cdot y^n=y^{-3} \cdot y^2[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies y^{4+n}=y^{-3+2}[/tex]

[tex]\implies y^{4+n}=y^{-1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies 4+n=-1[/tex]

Solve for n by subtracting 4 from both sides:

[tex]\implies 4+n-4=-1-4[/tex]

[tex]\implies n=-5[/tex]

Answer:

n = - 5

===========

Given equation:

[tex]\dfrac{y^4*y^n}{y^2} =y^{-3}[/tex]

Solve it for n:

[tex]y^{4+n-2}=y^{-3}[/tex]      [tex]y^{2+n}=y^{-3}[/tex][tex]2+n=-3[/tex][tex]n=-3-2[/tex][tex]n=-5[/tex]

===========

Used properties:

[tex]a^b*a^c=a^{b+c}[/tex]                  product of exponents with same base[tex]a^b/a^c=a^{b-c}[/tex]                    division of exponents with same baseIf [tex]a^b=a^c[/tex]  then [tex]b = c[/tex]       equal exponents with same base

Given: ΔABC

Prove: m∠ZAB = m∠ACB + m∠CBA

Triangle A C B is shown with its exterior angles. Line A B extends through point X. Line A C extends through point Y. Line C A extends through point X.

We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition.

We know that m∠ZAB + m∠CAB = 180° by the

.

We also know m∠CAB + m∠ACB + m∠CBA = 180° because

.

Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA.

Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the
.

Answers

m∠ZAB + m∠CAB = 180° by the angle addition postulate

m∠CAB + m∠ACB + m∠CBA = 180° because of the triangle angle sum theorem

m∠ZAB = m∠ACB + m∠CBA using the subtraction property

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

m∠ZAB + m∠CAB = 180° by the angle addition postulate

m∠CAB + m∠ACB + m∠CBA = 180° because of the triangle angle sum theorem

m∠ZAB = m∠ACB + m∠CBA using the subtraction property

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Answer:

We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition.

We know that m∠ZAB + m∠CAB = 180° by the

✔ angle addition postulate

.

We also know m∠CAB + m∠ACB + m∠CBA = 180° because

✔ of the triangle angle sum theorem

.

Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA.

Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the

✔ subtraction property

.

Step-by-step explanation:

What is 21% of 456? Calculate the percentages. Make sure to show all your work!

Answers

Answer:

21% of 456 = 0.21 x 400 + 0.21 x 50 + 0.21 x 6 = 95.76

Step-by-step explanation:

Mr. K's math class is 1 {1}{4} hours long. After working problems on the board for 55 minutes {11}{12}hour), he gave the students the rest of the class period to work on homework. How long did students have to work on homework? Write your answer in simplest form.

Answers

The number of hours that students have to work on homework will be 1/3 hours.

What is subtraction?

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Mr. K's maths class is 1 and 1/4 hours long.

After working problems on the board for 55 minutes  or 11 / 12 hour.

He gave the students the rest of the class period to work on homework.

Then the number of hours that students have to work on homework will be

⇒ 1 + 1/4 - 11/12

⇒ 5 / 4 - 11/ 12

⇒ (15 - 11) / 12

⇒ 4/12

⇒ 1/3 hours

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Five sisters bought a present for their mother. They received a 10% discount on the original price of the gift. After the discount was taken, each sister paid $5.40. What was the original price of the gift?

I need an answer soon! Pleasle

Answers

Answer:

$30 is the original price.

Step-by-step explanation:

Let x be the original price of the gift.  The sisters got a 10% discount, so the price paid by them is 0.90x.

The five sisters each paid $5.40, so the total they paid was:

5*($5.40) = $27.

This is equal to the 0.90x:  

0.90x = $27

x = $27/0.90

x = $30

Chocolates

1. inverse of a conditional Formed by exchanging the hypothesis and the conclusion and negating both of them. 2. contrapositive of a conditional A statement formed by interchanging the hypothesis and the conclusion in a conditional statement. 3. converse of a conditional A new statement formed by negating both the hypothesis and the conclusion.

Answers

See below for the vocabularies and their correct definition

Missing part of the question

Match the following vocabulary

How to match the vocabulary?

The terms are given as:

inverse of a conditionalcontrapositive of a conditional converse of a conditional

To get the inverse of a conditional, the hypothesis and the conclusion are negated, without interchanging them.

So, we have:

Inverse of a conditional ⇒ A new statement formed by negating both the hypothesis and the conclusion.

To get the contrapositive of a conditional, the hypothesis and the conclusion are negated, after interchanging them.

So, we have:

Contrapositive of a conditional ⇒ Formed by exchanging the hypothesis and the conclusion and negating both of them.

To get the converse of a conditional, we simply interchange the hypothesis and the conclusion, without negating them

So, we have:

Converse of a conditional ⇒ A statement formed by interchanging the hypothesis and the conclusion in a conditional statement.

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Answer:

The answer is Convers because it literally takes the hypothesis and the conclusion and interchanges them.

Step-by-step explanation:

The area of a rectangle is represented by the expression 6x³y5. Which of the following could be the
dimensions of the rectangle?

Answers

The length and width of the rectangle are: [tex]2x^2y^2 , 3xy^3[/tex]

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of a rectangle is represented by the expression [tex]6x^3y^5[/tex].

The area of the rectangle = [tex]2x^2y^2 \times 3xy^3[/tex]

                                          = [tex]6x^3y^5[/tex]

So, the length and width of the rectangle are: [tex]2x^2y^2 , 3xy^3[/tex]

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Answer two questions about system a and b

Answers

Answer:

Question 1: A. Replace one equation with a multiple of the other equation

Question 2: B. No

Step-by-step explanation:

1) How can we get System B from System A?

Choose 1 answer:

A. Replace one equation with a multiple of the other equation

B. Replace one equation with a multiple of itself

C. Swap the left-hand sides of both equations

D. Swap the order of the equations

2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?

Choose 1 answer:

A. Yes

B. No

The answer to both questions is in bold and in the "Answer" section.

Hope this helps!

If not, I am sorry.

Find the minimum value of the following equation:
(Please provide detailed explanations, no links)

Answers

Answer:

×=11

Step-by-step explanation:

2×-4×+27-5=0

-2×+22=0

-2×=-22

×=11

What are the x- and y-coordinates of point c, which partitions the directed line segment from a to b into the ratio 5:8? round to the nearest tenth, if necessary. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

Answers

The value of (x,y) is  (1.2 , -4.7) , Option D is the right answer.

The complete question is

On a coordinate plane, a line is drawn from point a to point b. point a is at (7, negative 2) and point b is at (negative 8, negative 9). what are the x- and y-coordinates of point c, which partitions the directed line segment from a to b into the ratio 5:8? round to the nearest tenth, if necessary. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

What are Coordinates ?

Coordinates are the location of a point in an (x,y) plot.

The given data is

Coordinates of

A = (7,-2)

B = (-8,-9)

m:n = 5:8

The coordinates of partition has to be determined

The formula used is

[tex]\rm (x,y) = \dfrac{1}{m+n} *(nx_1 + mx_2 , ny_1+ny_2)\\\\\\\rm (x,y) = \dfrac{1}{5+8} *(5*-8 + 8*7 , 5*-9+8*-2)[/tex]

(x,y ) = (1.2 , -4.7)

Therefore Option D is the correct answer.

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The first part is How many halves are in 8
2nd part is 16
Thank me later:)

Answers

The first part is half of the second part. The first part is 16 and the second part is 8.

What exactly is simplification?

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Let the first part is x, y os the second part, and the no of half times is z then the equation is;

x × y = z

16×(1/2) = 8

Hence,the first part is half of the second part. The first part is 16 and the second part is 8.

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PLEASE I NEED HELP!!!!!

How does a person answer pythogoras rule with out a calculator.​

Answers

Answer:

well by using the formulae a²+b²=c² with "a" being the opposite "b" being the adjacent and "c" being hypotenuse

Answer:

BY LEARNING  Pythagorean Theorem Formula Proof using Similar Triangles

Step-by-step explanation:

In a right-angled triangle, the Pythagoras Theorem Formula is expressed as:

c2 = a2 + b2

Where,

'c' = hypotenuse of the right triangle

'a' and 'b' are the other two legs.

what is the domain and the range of this function

Answers

Answer:

D:  -5 ≤ x < 1

R:  -4 ≤ y < 7

Step-by-step explanation:

The x values go between -5 and 1. The closed circle on -5 means it is included. The open circle on 1 means it is not included.

The y values go between -4 and 7. The closed circle means -4 is included, the open circle means the 7 is not included.

Find the area of a rectangle whose length is 18.60m and breadth is 7.05m.

Answers

Answer:

131.13

To find the area do w (width) times l (length/breadth) so the equation to find the area would be L*W=A

Factor: 117n + 90

Show your work don’t solve for n

Answers

Factoring Expressions

To factor an expression, we can identify common factors between each terms, and take them out.

Solving the Question

117n + 90

Both terms have the common factor of 9. Factor this out:

= 9(13n + 10)

13 and 10 do not have a common factor. Therefore, this is the final factored expression.

Answer

9(13n + 10)

The exterior of a solid cone is painted. The height of the cone is 11.4 centimeters, and the diameter of its opening is 5 centimeters.

What is the surface area of the solid cone requiring paint to the nearest square centimeter?

The surface area of the solid cone requiring paint rounded to the nearest whole number is ___________ square centimeters.

Answers

Answer:

111 cm^2

Step-by-step explanation:

h = 11.4

d = 5  so  r (radius) = 2.5

Surface Area of a Cone Formula: πr^2 + πrs

s represents the slant height of the cone, lets represent this with a drawing.

We have the values of h and r, but we don't have the value of s, meaning we have to find it. We can do this by using pythagorean theorem.

a^2 + b^2 = c^2

These three values can come together to create a right triangle which we can seperate from the rest of the diagram, now we can find s.

s = √(11.4^2 + 2.5^2)   so  s = 11.67

now that we have all of the pieces, we can plug back into the original surface area formula. πr^2 + πrs

π(2.5^2) + π(2.5)(11.67) = 111.29 cm^2 or 111 cm^2

The surface area of the solid cone requiring paint will be 111 square cm.

What is the surface area of a cone?

Let d be the diameter of the base circle, l be the slant height, and h be the height of the cone.

Then the lateral surface area of the cone will be

SA = πrl + πr²

Then the slant height is given as

l² = r² + h²

The exterior of a solid cone is painted. The height of the cone is 11.4 centimeters, and the diameter of its opening is 5 centimeters.

Then the radius of the base circle will be

r = 5 / 2

r = 2.5 cm

The length of the slant height will be

l² = 11.4² + 2.5²

l² = 136.21

 l = 11.67

Then the surface area of the solid cone requiring paint will be

SA = π × 2.5 × 11.67 + π × 2.5²

SA = 29.18π + 6.25π

SA = 35.43π

SA = 111.3

SA ≈ 111 square cm

The surface area of the solid cone requiring paint will be 111 square cm.

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please place the dot for me(20 points will give brainliest!!!)

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:\dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{4 + \sqrt{45} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{4}{6} + \cfrac{ \sqrt{45} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{3 \times 3 \times 5} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ 3\sqrt{5} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What is the measure of arc BEC in circle D?

134°
150°
209°
210°

Answers

The measure of arc BEC is 134°. The correct option is the first option 134°

Circle Geometry

From the question, we are to determine the measure of arc BEC

In the given diagram,

Measure of angle C = 1/2 (measure of arc AB)

Reason: The measure of an inscribed angle is half the measure of the intercepted arc

∴ Measure of angle C = 1/2 (76°)

Measure of angle C = 38°

m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)

m∠A + 75° + 38° = 180°

m∠A + 113° = 180°

m∠A = 180° - 113°

m∠A = 67°

Measure of arc BEC = 2 × m∠A (Angle at the center is twice the angle at the circumference)

Measure of arc BEC = 2 × 67°

Measure of arc BEC = 134°

Hence, the measure of arc BEC is 134°. The correct option is the first option 134°

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To eliminate the × terms and solve for y in the fewest steps by which constants should be equations be multiplied by before adding the equations together

Answers

To eliminate the y terms and solve for x in the fewest steps, you can multiply the equations by appropriate constants so that the coefficients of the y terms in Both equations have the same magnitude but opposing signs. So to eliminate the y terms and solve for x in the fewest steps, you should multiply the first equation by 2 and the second equation by 3x

In this instance, you can do the following steps:

Start with the original equations:

Equation 1: 2x + 3y = 8

Equation 2: 3x - 2y = 4

To eliminate the y terms, multiply Equation 1 by 2 and Equation 2 by 3:

Multiply Equation 1 by 2:

2(2x + 3y) = 2(8)

4x + 6y = 16

Multiply Equation 2 by 3:

3(3x - 2y) = 3(4)

9x - 6y = 12

Now, add the two modified equations together to eliminate the y terms:

(4x + 6y) + (9x - 6y) = 16 + 12

4x + 9x + 6y - 6y = 28

13x = 28

Finally, solve for x by dividing both sides of the equation by 13:

x = 28/13

Therefore, to eliminate the y terms and solve for x in the fewest steps, you should multiply the first equation by 2 and the second equation by 3x

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The probable question may be:

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? The first equation should be multiplied by 2 and the second equation by 3. x.

Which criterion can be used to prove abc and adc are congruent? triangles, abc and acd, are plotted on a grid that share a common side ac. angles cad and acb are marked congruent. angles cab and acd are marked congruent. a. sss b. aaa c. sas d. asa

Answers

The correct answer is option D which is ASA ( Angle - Side - Angle).

What is congruency?

If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

In triangles ABC and ADC,

Angles BCA and DAC are congruent (from the diagram);

Angles BAC and DCA are congruent (from the diagram);

AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent with the ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Therefore the correct answer is option D which is ASA ( Angle - Side - Angle).

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Round to the nearest tenth. B 63 142° 61 A C X x = [?]

Answers

The value of x in the triangle is 117.2 units

The missing image is attached with the answer.

What is an Equation?

An equation is formed when two expression is equated by an equal sign to a constant , variable or an expression.

Cosine rule of Triangles is used and is given by

c² = a² + b² - 2ab cos C

Where a, b, c are the sides and C is the angle opposite side c.

from the given data in the figure

c = 63

a = 61 and

angle B is 142 degree

x² = 63² + 61² - 2(63)(61) * cos(142)

On solving

x = 117.2

The value of x in the triangle is 117.2 units

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In parallelogram WXYZ, with diagonal XZ, m∠WXZ = 81° and m∠WZX = 28°. What is the measure of ∠XYZ?

A.

62°

B.

90°

C.

71°

D.

109°

Answers

The measure of angle XYZ in the parallelogram is: 71°.

What are the Opposite Angles of a Parallelogram?

In a parallelogram, the angles that are opposite each other are congruent.

Find m∠XWZ using the triangle sum theorem:

m∠XWZ = 180 - m∠WXZ - m∠WZX

m∠XWZ = 180 - 81 - 28

m∠XWZ = 71°

m∠XWZ = m∠XYZ [opposite angles are congruent]

m∠XYZ = 71°

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Answer:

71°

Step-by-step explanation:

I got it right on Edmentum

Hook me up with a 5 Star and a Thanks :)

The tree diagram represents an experiment consisting of two trials. (Enter the probability to the hundredths place. Do not round.)


.6, A, .3, C, .7, D,

.4, B, .2, C, .8, D


P(D) = [ ? ]

please no links

Answers

Answer:

0.74

Step-by-step explanation:

A tree diagram is a visual way of showing combinations of two or more events. The outcome of each branch is labelled at the end of the branch line and its probability is written alongside the branch.

To calculate the probabilities of each combination, follow the branches and multiply the probabilities together.

There are two possible combinations to get a final outcome of D:

A and D = 0.6 × 0.7 = 0.42B and D = 0.4 × 0.8 = 0.32

Therefore, the probability of D is:

⇒ P(D) = P(A and D) OR P(B and D):

⇒ P(D) = 0.42 + 0.32

⇒ P(D) = 0.74

Which best describes why the function is nonlinear? the rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees. the rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Answers

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

What is a nonlinear function?

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃  = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

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Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

What is a nonlinear function?

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃ = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

Read more on nonlinear function here: brainly.com/question/896694

#SPJ1

Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

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