Asymptote (horizontal) of f(x)=2(3)^-x

Answers

Answer 1

The Value of the horizontal asymptote is 0

What is horizontal asymptote?

The horizontal asymptote of a function y = f(x) is a line y = k and to calculate the horizontal asymptote please substitute [tex]x=[/tex]±∞. We can also find the vertical asymptote.

now we are given a function

[tex]f(x)=2(3)^{-x}[/tex]

Now substitute x=±∞ in the equation, as the x in denominator we get

f(x)= 0

This is the value of the horizontal asymptote

Hence the value of horizontal asymptote comes out to be 0

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Related Questions

12 workers can do a piece of work in 30 days. Find how many workers should be added to finish the work in 24 hours. ​

Answers

Answer:

Workers to be be added to finish the work in 24 hours = 348

Step-by-step explanation:

This is a problem involving inverse proportion

Here the number of days required to complete the job is inversely proportional to the number of workers- the more the workers, the less time it takes

We can state this as:
[tex]D \propto \dfrac{1}{N}[/tex]

where D = time in days required to complete the job and N is the number of workers that can do this in D days

The equation relating D and N can be stated as

[tex]D = k \dfrac{1}{N}[/tex]

This gives us k = D x N  (multiply by N both sides)

where k is a constant known as the constant of proportionality

Given data that D = 30 when N = 12, this constant of proportionality = D x N = 30 x 12 = 360

From the equation of proportionality we also get
N = k/D

So to complete the job in 24 hours = 1 day, substitute 1 for D and 360 for k to get
N = 360/1 = 360 workers

So you will need 360-12 = 348 workers if you expect to  finish the job in 24 hours = 1 day

The sum of an integer is 6 times the next consecutive integer is -50. Find the values of the two integers

Answers

By solving a linear equation, we will see that the two consecutive integers are -8 and -7

How to find the two integers?

We know that the sum of an integer and 6 times the next consecutive integer is -50.

So if x is the integer, x + 1 will be the next consecutive integer, then we can write the equation:

x + 6*(x + 1) = -50

So we need to solve a linear equation, it will give:

x + 6x + 6 = -50

7x + 6 = -50

7x = -50 - 6

7x = -56

x = -56/7 = -8

Then the next integer is:

x + 1 = -8 + 1 = -7

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What is the value of cos (θ)
By identifying the correct ratio

Answers

Answer:

ans is 12/15

Step-by-step explanation:

cos= b\h b is 12 and h is 15

branliest ?

Preview
3-19. Show the numbers of + and tiles represented by each expression below. Sketch each model and state
the number that it represents.
a) (-2) + (-6)
b) (-2) +4+ (-2)
c) 5+ (-8)

Answers

The numbers of + and - signs tikes in the expressions given in the question are:

a) two - , and zero +

b) two - , and one +

c) one + , and one -

What is expression?

A finite collection of symbols that are correctly created in line with context-dependent requirements is referred to as an expression or a mathematical expression. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, and grouping. They may also be used to denote the operation order or other aspects of the logical grammar.

a) Given expression, (-2) + (-6)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are two -, and zero +.

The the result of this expression is -8.

b) Given expression, (-2) + 4 + (-2)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are two -, and one +.

the the result of this expression is -4.

c) Given expression, 5 + (-8)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are one +, and one -.

the the result of this expression is -3.

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which expression is equivalent to 4 sqrt 6/3 sqrt 2
12 sqrt 27/2
4 sqrt 24/2
12 sqrt 55296/2
12 sqrt 177147/3

Answers

The provided expression is equivalent to the expression mentioned in option (C) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The number expression is:

[tex]= \dfrac{\sqrt[4]{6} }{\sqrt[3]{2} }[/tex]

After applying the integer exponent property:

[tex]= \dfrac{\sqrt[4]{6} }{\sqrt[3]{2} } \times\dfrac{\sqrt[3]{2^2} }{\sqrt[3]{2^2} }[/tex]   (rationalization)

[tex]= \dfrac{\sqrt[4]{6} \times\sqrt[3]{2}}{2 }[/tex]

= [tex]\rm \dfrac{\sqrt[12]{55296} }{2}[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Thus, the provided expression is equivalent to the expression mentioned in option (C) is correct.

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. A farmer ships oranges in wooden crates. Suppose each orange weighs the same amount. The total weight of a crate filled with g oranges is 24.5 pounds. Write an equation that represents the relationship between the weight of the crate and the number of oranges it contains.

Answers

The equation that represents the relationship between the weight and number of oranges is [tex]w[/tex]·[tex]g=24.5[/tex]

What is an equation?

An equation is a formula which represents the equality between two expression.

We are given each orange weight the same.

Let the weight of one orange be [tex]w[/tex].

Also we are given that there are [tex]g[/tex] oranges in the crate

Also the weight of the crate is 24.5 pounds

Now the equation representing the relationship between weight and number can be given by

[tex]w[/tex]·[tex]g=24.5[/tex]

Hence the equation representing the relationship between weight and number can be given by [tex]w[/tex]·[tex]g=24.5[/tex]

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calcula correctamente cada una de las ecuaciones de la recta.
pasa por los puntos a(4,-6) y b(-5,3)

Answers

The equation of straight line of the points is given as y = -x - 2

Equation of Straight Line

To solve this problem, we simply need to find the equation of straight line which can be done by finding the slope of the line and then intercept of the line.

In the given points;

A = (4, -6)B = (-5, 3)

The formula of slope of a line is given as

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

Substituting the values into the equation;

[tex]m = \frac{3 - (-6)}{-5 - 4} \\m = \frac{9}{-9} \\m = -1[/tex]

The slope of the line is equal to 1.

Let's find the intercept of the line

[tex]y = mx + c[/tex]

Taking point A;

[tex]y = mx + c\\-6 = -1(4) + c\\-6 = -4 + c\\c = -2[/tex]

The equation of the line is y = -x - 2

Translation: Find the equation of a straight line from two point A(4, -6) and B(-5, 3).

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Simplify the expression 15 ÷ 3 + 4 x 3​

Answers

Answer:

17

Step-by-step explanation:

So, you start with division. 15/3=5, so you have 5+4x3

Then, you have to multiply. 4x3=12, so you have 5+12

Finally, you do 5+12, which is 17.

So, the simplified expression is 17.

Answer:

17

Step-by-step explanation:

Simplify the expression

15 ÷ 3 + 4 x 3​                (Remember PEMDAS)

5 + 12 =

17

Solve the equation for x. 2x+y=7

Answers

Answer:

b)

Step-by-step explanation:

2x+y=7

2x=7-y

x=(7-y)/2

Answer: B

Step-by-step explanation:

n

Express the following below

Answers

Answer:

p = 5 ; q = -11

Step-by-step explanation:

Simplify the radicals:

      [tex]\sf (a - b)^2 = a^2 + b^2 - 2ab\\\\(\sqrt{5}-3)^2 = (\sqrt{5})^2+3^2-2*\sqrt{5}*3[/tex]

                       [tex]\sf = 5 + 9 -6\sqrt{5}\\\\= 14 - 6\sqrt{5}[/tex]

[tex]\sf \dfrac{(\sqrt{5}-3)^2}{\sqrt{5}+1}=\dfrac{14-6\sqrt{5}}{\sqrt{5}+1}[/tex]

 Multiply the denominator and the numerator by (√5 - 1).

                 [tex]\sf= \dfrac{(14-6\sqrt{5})(\sqrt{5}-1)}{(\sqrt{5}+1)(\sqrt{5}-1)}\\\\\\= \dfrac{14*\sqrt{5}-14*1-6\sqrt{5}*\sqrt{5}+6\sqrt{5}*1}{(\sqrt{5})^2-1^2}\\\\\\=\dfrac{14\sqrt{5}-14-6*5+6\sqrt{5}}{5-1}\\\\\\=\dfrac{14\sqrt{5}+6\sqrt{5}-14-30}{4}[/tex]

                 [tex]\sf = \dfrac{(14+6)\sqrt{5}-44}{4}\\\\\\= \dfrac{20\sqrt{5}-44}{4}\\\\=\dfrac{20\sqrt{5}}{4}-\dfrac{44}{4}\\\\\\=5\sqrt{5}-11[/tex]

p = 5

q = -11

mike is getting 15$ per week and he has 10$ in his piggy bank. write an algebraic expression that describes Mike's situation.

Answers

Answer:

10+15x=?

Step-by-step explanation:

x=every week

Answer: y=15x+10

Step-by-step explanation: the y is the amount of money he has, the x is the number of weeks, and the 15 shows he gets 15 dollars a week and the 10 shows he starts with 10$

Put the following equation of a line into slope-
intercept form, simplifying all fractions.
6x + 15y = -75

Answers

y=-2/5x-5 is the equation of a line into slope- intercept form

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given equation is 6x + 15y = -75

six x plus fifteen y equal to minus seventy five

6x + 15y = -75

Subtract 6x from both sides

6x+15y-6x=-75-6x

15y=-75-6x

Divide both sides by 15

y=-75/15 -6/15 x

y=-5-2/5x

y=-2/5x-5

Hence y=-2/5x-5 is the equation of a line into slope- intercept form

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Question on my test that I need to do. It's due today in 35 minutes! Please help!

Answers

The equivalent expression to 3x - [tex]\frac{1}{2}[/tex]y + 2 [tex]\frac{2}{3}[/tex]y - [tex]\frac{5}{6}[/tex]x is C. 2 [tex]\frac{1}{6}[/tex]x + 2 [tex]\frac{1}{6}[/tex]y

What is an expression?

An expression is simply used to show the relationship between the variables that are given in the data.

The fractions given will be illustrated as:

3x - [tex]\frac{1}{2}[/tex]y + 2 [tex]\frac{2}{3}[/tex]y - [tex]\frac{5}{6}[/tex]x

Collect like terms

= 3x - x + 2 [tex]\frac{2}{3}[/tex]y - [tex]\frac{1}{2}[/tex]y

= 2 [tex]\frac{1}{6}[/tex]x + 2 [tex]\frac{4}{6}[/tex]y - [tex]\frac{3}{6}[/tex]y

= 2 [tex]\frac{1}{6}[/tex]x + 2 [tex]\frac{1}{6}[/tex]y

In conclusion, the correct option is C.

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A rectangular park is w ft wide. The park is 25 ft longer than its wide.Record your answer to each using Algebra.
What is the length of a fence (inculding the gates) that was built around the park

Answers

The length of the fence (including the gates) that was built around the park is (4w + 50) feet.

Here, we are given that a rectangular park is w ft wide and the park is 25 ft longer than its wide.

Thus, the length of the park = (w + 25) ft

Now, the park has to be fenced along all of its sides. Thus, we need to find the perimeter of the rectangular park.

The perimeter of a rectangle is given as-

2( length + breadth)

Thus, here, the perimeter will be-

2( w + 25 + w )

= 2( 2w + 25 )

= 4w + 50

Thus, the length of the fence (including the gates) that was built around the park is (4w + 50) feet.

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Find the perimeter and the area of the figure.(assume right angles and parallel sides except we’re obviously otherwise)Simplify your answer and round to the nearest TENTH.

Answers

Given:

The length of the parallel sides,

a=17.4 m

b=44.1 m

The height, h=23.5 m

The measurements of the other two sides are,

c=27.5m and d=26.6m.

To find the area of the trapezium:

Using the formula,

[tex]\begin{gathered} A=\frac{1}{2}\times(a+b)\times h_{} \\ =\frac{1}{2}\times(17.4+44.1)\times23.5 \\ =\frac{1}{2}\times61.5\times23.5 \\ =722.625\text{ square meters} \end{gathered}[/tex]

Hence, the area of the figure is 722.6 sq. m (rounded to the nearest tenth).

To find the perimeter of the trapezium:

[tex]\begin{gathered} P=a+b+c+d \\ =17.4+44.1+27.5+26.6 \\ =115.6\text{ m} \end{gathered}[/tex]

Hence, the perimeter of the figure is 115.6 m.

10. Cual de los siguiente enunciados es
verdadero?
1. e
4
es irracional por que es un
decimal
2. 2.33333...... es irracional por
que este no termina.
3. 0.125 es racional por que este se
puede escribir como una
fraccion.
4. 0.28152121.... es racional por
que este no termina.

Answers

The answer is definitely most likely 4

30 students in Mrs. Woodward‘s class and 1/5 of the class has their own cell phone of this group of students 1/2 of them are allowed to use social media how many of the students have a cell phone and you can use social media

Answers

Answer:

6 students have their own cell phone and 3 of them can use social media.

Step-by-step explanation:

One fifth of 30 is 6. One half of six is 3.

can someone pls give the answers to this

Answers

Answer:

(-1,2),(-1,-3),(3,-3)

Step-by-step explanation:

You times the coordinate by 1/3

The sale price of every item in a store is 85% of its usual price. The usual price of a backpack is $30. What is its sale price? The sale price of a sweatshirt is $34. What is its original price?

Answers

The sale price of the backpack is $25.50.

The original price of the sweatshirt is $40.

How to calculate the price?

From the information, the sale price of every item in a store is 85% of its usual price and the usual price of a backpack is $30.

The sale price will be:

= Percentage × Original price

= 85% × $30

= $25.50

The sale price of a sweatshirt is $34, its original price will be:

= 85% × x = $34

0.85x = $34

x = $34 / 0.85

x = $40

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katlin bought 14 pencils, it costs her $3.50. how much did each pencil cost?

Answers

Answer: 0.25$ or a quarter

Step-by-step explanation:

Katlin bought 14 pencils, which cost her $3.50. So all you have to do is divide the amount ($) by the number of pencils.

3.50/14 = 0.25$

3.50 divided by 14

Each pencil cost a quarter

Pls I need help ASAP!!!!!

Answers

( 5,0 ) and ( 0,4 ) are the x and y-intercept of the function 4x + 5y = 20 respectively.

How to solve for x and y-intercept?

The intercept of a line on a graph is simply the point at which it intersects either the x-axis or y-axis.

Given the data in the question;

4x + 5y = 20Input value when output is 0 = ?Output value when input is 0 = ?

Now, we find the intercepts of the equation of line, plug in y = 0 and solve for x

4x + 5y = 20

4x + 5(0) = 20

4x = 20

x = 20/4

x = 5

Hence, the x-intercept is ( 5,0 )

For the y-intercept, plug in x = 0 and solve for y

4(0) + 5y = 20

5y = 20

y = 20/5

y = 4

Hence, the y-intercept is ( 0,4 ).

Therefore the x and y-intercept are ( 5,0 ) and ( 0,4 ).

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PLEASE HELP ASAP, THANK YOU!

Answers

Answer:

Your answer is [tex]10x + 5[/tex]

Step-by-step explanation:

A coefficient is the number before the variable, in this case, 10.

A constant is the number with no variable attached to it, in this case, 5.

what are the coordinates of the point on the directed line segment from (-7,-2) to (2,1) that partitions the segment into a radio of 1 to 2 ?

Answers

The coordinates along the directed line segment is (-4, 5/3)

What is line segment ratio?

This involves dividing a line into proportional ratios

How to find the coordinates of the point?

The points are given as:

A  = (-7, 2)

B = (2, 1)

The ratio on the segment can be represented as;

m : n = 1 : 2

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

So, we have:

Point  = 1/(1 + 2) * (1 * 2 + 2 * -7, 1 * 1 + 2 * 2)

Evaluate

Point  = 1/3 * (-12, 5)

Evaluate the products

Point  = (-4, 5/3)

Hence, the coordinates of the point is (-4, 5/3)

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3ab+3c=2x solve for b

Answers

Step-by-step explanation:

ab + 3c = 2x

Subtract 3c from both sides

ab = 2x - 3c

Isolate b by dividing by a

b = (2x -3c)/a

The slope is For 3 and 4, find the slope of the line that passes through the given points. 3. (0, 10) and (24, 6) 4. (0,6) and (20, 14)​

Answers

3. The slope of the line through the  points (0, 10) & (24, 6) is  [tex]\frac{1}{4}[/tex]

4. The slope of the line through the points (0, 6) & (20, 14) is  [tex]\frac{2}{5}[/tex]

What is meant by slope?

The slope of a line indicates its steepness. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope of a line, or a section of a line connecting two points, is a measure of its steepness.

Or. A line's slope is the ratio of how much y increases as x increases by some amount. The slope-intercept form of an equation is when the equation of a line is written in the form y = mx + b. The slope of the line is given by m. And b is the value of b in the y-intercept point (0, b).

How are the slopes calculated?

3. We know that , slope = m

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex](x_{1}, y_{1})=(0, 10)\\\\(x_{2}, y_{2})=(24, 16)[/tex]

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m= \frac{16- 10}{24 -0}\\\\m= \frac{6}{24}\\\\m=\frac{1}{4}[/tex]

4. We know that , slope = m

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex](x_{1}, y_{1})=(0, 6)\\\\(x_{2}, y_{2})=(20, 14)[/tex]

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m= \frac{14- 6}{20 -0}\\\\m= \frac{8}{20}\\\\m=\frac{2}{5}[/tex]

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The distance from the earth to the sun is 1.5 extend eight KM and the distance from Mars to the sun is 2.2 8 X 10 eight KM what is the distance between earth and mars expressed in scientific notation

Answers

The distance between the Earth and the Sun is 1.5 extend eight kilometers, and the distance between Mars and the Sun is 2.2 8 X 10 eight kilometers. The scientific notation for the distance between Earth and Mars is 3.78 x 10^8 km.

How to find a distance?

The length of the line connecting two points is the distance between them. If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical coordinates.

Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point.

Given,

The distance between Earth and Sun = 1.5 x 10^8 km

The distance between Sun and Mars = 2.28 x 10^8 km

Therefore the distance between Earth and Mars =

(1.5 x 10^8 + 2.28 x 10^8) km

= (1.5 + 2.28) x 10^8 km

= 3.78 x 10^8 km (Ans)

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Select the locations on the number line to plot the points -2, -11, and -17​

Answers

Answer:

-17 would be three tick marks to the right of  -20

-11 would be 9 tick marks to the right of -20 or 6 right of the tick mark for -17

-2 would be 18 tick marks to the right of -20 or 15 tick marks to the right of -17 or 9 tick marks to the right of -11

Step-by-step explanation:

-20, -19, -18,-17      This is what -17 is three tick marks to the right of -20  

-20 -19 -18 -17 -16  -15 -14 -13 -12 -11      

-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2

Answer is in attachment

Step by step

Negative Numbers go backwards from 0 so counting the tick marks from 0 to -2 is 2 spaces to the left. -11 is 11 ticks to the left. -17 is 17 ticks to the left.

The two parallelograms are similar. Find the degree measure of the angle. Explain your reasoning.

Answers

Answer:

3. ∠A = 110°

4. ∠H = 70°

5. ∠D = 70°

6. ∠F = 70°

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary (sum to 180°).

⇒ ∠A + ∠B = 180°

⇒ ∠A + 70° = 180°

⇒ ∠A = 110°

In a parallelogram, opposite angles are congruent.

⇒ ∠C = ∠A = 110°

⇒ ∠D = ∠B = 70°

If two parallelograms are similar, their corresponding interior angles are congruent.

⇒ ∠A = ∠E = 110°

⇒ ∠B = ∠F = 70°

⇒ ∠C = ∠G = 110°

⇒ ∠D = ∠H = 70°

What is prime factorization explained very simply? (Please show an example)

Answers

We got the factors which is prime numbers = 2 × 2 × 2 × 3

Define Prime Factorization ?

The technique of expressing all numbers as the product of primes is known as prime factorization. So, let's take something like the number 20 as an example. That can be divided into two components. "Well, that's 4 times 5," we can respond. Observe that 5 is a prime number.

For e.g, let's take number of 24 and factor it,

24/2 = 12

12/2 = 6

6/2 = 3

3/3 = 1

We got the factors which is prime numbers = 2 × 2 × 2 × 3

which is equal to given number i.e, 24.

See another example in image.

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The annual yield per walnut tree is fairly constant at 50 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 1.5 pounds due to overcrowding.
Express the total yield for an acre, T, in pounds as a function of the number of walnut tree per acre, x

Answers

The total yield for an acre, T, in pounds as a function of the number of walnut tree per acre, x is given by T = -1.5x² + 95x.

How to determine an equation for the total yield?

In order to solve this word problem, we would assign variables to the number of walnut tree per acre and total yield for an acre, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of walnut tree per acre.Let the variable T represent the total yield for an acre.

Mathematically, the total yield for an acre can be calculated by using this mathematical expression:

Total yield for an acre (T) = yield of each tree × number of trees per acre

Substituting the given parameters into the mathematical expression, we have the following;

Total yield for an acre (T) = [50 - 1.5(x - 30)] × x

Opening the bracket, we have:

Total yield for an acre (T) = [50 - 1.5x + 45] × x

Total yield for an acre (T) = 50x - 1.5x² + 45x

Next, we would rearrange the function by collecting like terms and simplifying as follows:

Total yield for an acre (T) = -1.5x² + (50x + 45x)

Total yield for an acre (T) = -1.5x² + 95x

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Estimate Jupiters mass using a one-digit whole number times a power of 10. Be sure to include units. Which expressions are equivalent to the one below? Check ALL that apply. log2 - log8 Write a two- to three-paragraph essay in which you compare and contrast the structure and function of the national government with the structure and function of your states government. Use what youve learned about the national government and do research to find out more about your state government. Include the following in your essay:The structure of national and state governmentThe functions of national and state governmentThe distribution of power between national and state government, including the purpose of Article IV, Section 4 of the US ConstitutionCurrent state leaders and the roles and functions they perform within state governmentIf you live in Washington, DC, or a US territory, use the government structure there for your essay. If you live outside the United States, choose a US state or use the form of government of the country in which you live. QuestionPOSSIBLE POINTS: 1.25Rewrite the following equation in Slope-Intercept Form (y=mx+b), then use your equation to complete the table and find the slope, the y-intercept, and the x-intercept.6x2y=12Equation: Table:x y-2 -1 0 1 2 y-intercept: (, )x-intercept: (, )Skip to navigation After declaring war on germany during the first world war the united states began censoring the u. S. Mail to prevent treason. This policy change raised a constitution issue related to . L8. Humans are 66% water by weight. Water serves to suspend the red blood cells to carry oxygento the cells. It also carries electrolytes and nutrients needed by the cells, while at the sametime, taking their waste away.What property of water is responsible for blood being able to help carry away wastes? HINT:Like dissolves like!TOAMany of the metabolic reactions within the cells of your body release and absorb enough Which leaders run the day to day in their countries? When 3a^2-7a+6 subtracted from 4a^2-3a+4, the result is 7) 5x - y +41x-3y + 24 = 03x-y=-4A) (7,0), (6,0)B) No solution.C) (1,7), (7,0)D) (1,7) the nurse continues the focused risk assessment by asking about etiologic factors related to cirrhosis. which assessment finding provides the most likely indication that the client is at high risk for cirrhosis? I will give points to the person who gets this right. after how many minutes m Novak have eaten more hot dogs than Roger? It takes 3/8 cup of sugar to make bread how much sugar do u need for 16 loaves Someone please help me!!!answer the question in the photo! Question 17 of 20Which category is not one of the major responsibilities of state government?A. LibrariesB. CorrectionsOC. EducationOD. Public aid4SUBMITEV Abigail works as a salesperson at an electronics store and sells phones and phone accessories. abigail earns a $14 commission for every phone she sells and a $3.50 commission for every accessory she sells. on a given day, abigail made a total of $129.50 in commission and sold 7 more accessories than phones. write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. define the variables that you use to write the system. A student downloaded a new game on her phone that was recommended by her friend. Shewanted to show her friend how good she was doing, so she wrote down all her scores on thegame. Her first five scores on the game were 432,543, 348, 788, and 823. On the twoquestions below, round to the nearest whole number when relevant.a. What is her mean, or average, score on the game?b. What is her median score on the game? I need help on this question Write down an example of checks and balances, as established by the constitution. a client who has had recurrent urinary tract infections asks the nurse about the old wives' tale of drinking cranberry juice daily. which response by the nurse is most accurate?