Candidate A and Candidate B are running for mayor. A poll was taken to determine which candidate would likely win the election. The poll is accurate within ±5%. Write an absolute value equation to find the maximum and minimum percentage of voters who will vote for Candidate A if 38% of the voters in the poll voted for Candidate A. Let A represent the percent of voters who will vote for Candidate A.

Answers

Answer 1

Answer:

[tex]|A-38|=5[/tex]

33% or 43%

Step-by-step explanation:

Given that poll is accurate within [tex]\pm5[/tex].

38% voters have voted for candidate A.

[tex]A[/tex] is the percent of voters who will vote for candidate A.

So, value of A can be 38+5=43%

OR

38-5 = 33%

We will write an absolute function for the above situation.

But, first of all, let us have a look at the definition of Absolute value function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

The the value of function gives us a negative sign when the value inside the modulus function is negative.

[tex]A-38[/tex] will be negative when [tex]A < 38[/tex] and

[tex]A-38[/tex] will be positive when [tex]A>38[/tex].

This difference is given as [tex]\pm5[/tex].

Therefore, the absolute value function can be written as:

[tex]|A-38|=5[/tex]

Case 1: [tex]A < 38[/tex]

As per definition of modulus function, it will open with a negative sign.

[tex]-A+38=5\Rightarrow A = 33[/tex]

Case 2: [tex]A>38[/tex]

As per definition of modulus function, it will open with a positive sign.

[tex]A-38=5\Rightarrow A = 43[/tex]

Therefore the answer is 33% or 43%


Related Questions

If y varies directly as x, and y = 15 when x = 5. Find x when y = 9

Answers

Answer:

x=3

Step-by-step explanation:

If y is 15 when x is 5, and y =f(x), then the equation is y=3x. Substitute in 9 for y, and do the algebra, and you will get 3. Hope this helped :D

The value of x is 3 when y = 9.

What is Proportionality?

When two quantities are proportional, it means that they can be expressed as a ratio or a fraction, and this ratio remains constant as the values of the quantities change.

If y varies directly as x, it means that the ratio of y to x remains constant.

We can express this relationship as y = kx, where k is the constant of variation.

To find the value of k, we can use the given information that y = 15 when x = 5:

15 = k . 5

Dividing both sides of the equation by 5, we get:

k = 15/5

k = 3

Now that we have the value of k, we can substitute it into the equation

y = kx to find x when y = 9:

9 = 3x

Dividing both sides of the equation by 3, we get:

x = 9/3

x = 3

Therefore, when y = 9, x = 3.

Learn more about Proportionality here:

https://brainly.com/question/8598338

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Only answer if you know...how to send or accept friend requests.I use brainly.com and when I click on someone's profile this is what it shows so how do I send or accept friend requests then?I need help with my maths question:5x÷3=26​

Answers

Answer:

your answer is 15.6

Step-by-step explanation:

5x divided by 3= 26

multiply 3 by each side

5x = 78

divide 5 by each side to get x by itself

x= 15.6

Find the 87th term of this sequence: 157, 150, 143, ...

Answers

Answer:

                [tex]\bold{a_{87}=-445}[/tex]

Step-by-step explanation:

[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]

help please !!!!! no explanation needed

Answers

It’s d I think I have to right to fill the character limit

Answer:

Its D super easyyyyyyh

Part A: A keypad lock asks you to input a four-digit code. If you can choose any digit, 0 through 9, for each of the four digits, how many possible combinations are there? Part B: Suppose the similar keypad lock asks for a four-digit code but does not allow you to repeat a digit. How many possible combinations are there for this lock?

Answers

Answer:

A. 10,000 combinations

B. 5,040 combinations

Step-by-step explanation:

A. four-digit code from 0-9 without restriction

1st digit - 10 options

2nd digit - 10 options

3rd digit - 10 options

4th digit - 10 options

Number of possible options = 10 * 10 * 10 * 10 = 10^4 = 10,000 combinations

b. No repetition of digits

1st digit = 10 options

2nd digit = 9 options

3rd digit = 8 options

4th digit = 7 options

Number of possible choices = 10 * 9 * 8 * 7 = 5,040 combinations

write the expression to (5x-3x^2)-(5x-2)*(10x+7x^2) in standard form

Answers

this is the answer that i got

Please Help!!!!!!!!!

Answers

what’s the assignment

Can someone help please?

Answers

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

The answer is 2 hours and 23 minutes

Solve for y: 2(x - y) =a

Answers

Answer:

a=2x−2y

Step-by-step explanation:

For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?​

Answers

First, you need to create a unit rate.
The car travels 182 miles on 14 gallons of gas.
To create a unit rate, you would have to divide 14 by 182.

182 mi 13 mi
———— = ———-
14 gal 1 gal

Then, you would need to multiply the numerator and denominator by 8 because the question is asking how far the car can travel on 8 gallons of gas.

13 mi x 8 104 mi
——— = ————
1 gal x 8 8 gal

So, your answer is the car travels 104 miles on 8 gallons of gas.

HELPPP

Given h(x) = 2x + 2, solve for x when h(x) = 4.

Answers

Answer:

x = 1

Step-by-step explanation:

2x + 2 = 4

2x = 2

x = 1

2x + 2 = 4
2x = 2
x = 1

Can someone help really quickly?

Answers

[tex]\bold{Answer:}[/tex]1. -10
2. -5
3. 10
4. 15
5. 30

[tex]\bold{Explanation:}[/tex]Plug the x values into f(x)=5x+5 to get the f(x) values

If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.​



please answer it and I will mark your answer as the brainliest..please..!!!

Answers

Answer:

[tex]y=2x-6[/tex]

Step-by-step explanation:

A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.

The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).

The distance d1 from (x,y) to (2,3) is:

[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]

The distance d2 from (x,y) to (6,1) is:

[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Since d1=d2:

[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Squaring both sides:

[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]

Operating:

[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]

Simplifying all the squares:

[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]

Moving the variables to the left side and the numbers to the right side:

[tex]-4x+12x-6y+2y=36+1-4-9[/tex]

Simplifying:

[tex]8x-4y=24[/tex]

Dividing by 4:

[tex]2x-y=6[/tex]

Or, equivalently:

[tex]\boxed{y=2x-6}[/tex]

Name a point non-complanar to plane K

Answers

Answer:

did you attach an image?

Step-by-step explanation:

We have a figure given in question.

We have to find a point non-coplanar to plane K.

What is Coplanarity of points?

Two or more points are coplanar if they lie on the same plane in the three dimensional coordinate system. If they don't lie on the same plane, then they are called non - coplanar.

According to the question, we have to find a point non-coplanar to

plane K.

All the points except points W and Y lie on plane K. Hence, W and Y are the two points that do not lie on the K - plane.

To solve more questions on Coplanarity, visit the link below-

https://brainly.com/question/10623225

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Anything would really help! Due soon!

Answers

Answer:

y=mx+b

Step-by-step explanation:

What is the area of this figure?
13 in
6 in
8 in
s in
5 in
17 in
10 in
Write your answers using decimals, If necessary.

Answers

Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

Help meee pleaseeeeeee :(

Answers

Answer:

I am pretty sure its D

Step-by-step explanation:

If u want to be sure tho search up the dilation scale factor on Google:)

if i’m not mistaken it’s b

- 2/3 × 3/5 + 5/2 - 3/5 × 1/6​

Answers

first start by multiplying:
-6/15 + 5/2 -3/30

then u can simplify the fractions, -6/15=-2/5 and -3/30=-1/10

-2/5 + 5/2 - 1/10, now find a common denominator in this case 10
-4/10 + 25/10 - 1/10

now add and subtract normally

answer:20/10 or 2

Answer:

2

Step-by-step explanation:

(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)

-2/3 x 3/5 = -6/15 = -2/5 (simplified)

3/5 x 1/6 = 3/30 = 1/10 (simplified)

Changed equation: -2/5 + 5/2 - 1/10

-2/5 x 2 = -4/10

5/2 x 5 = 25/10

Changed equation: -4/10 + 25/10 - 1/10

Answer: 20/10 = 2 (simplified answer)

I don't get this...​

Answers

Answer: The answer is D. 17.9

Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.

I hope this helps have a great day!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first you should remember that....

[tex]a^{2} +b^{2} =c^{2}[/tex]

then you should plug in...

[tex]8^{2}+16^{2}[/tex]

that should equal...

[tex]c^{2}=320[/tex]

Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...

[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]

[tex]c=17.88854382...[/tex]

Then you have to round it to the nearest tenths, which'll give you...

[tex]17.9[/tex]

choice D

Last year the cost of Mr. patten’s car insurance was 86.80 per month. This year it inscreased by 5 percent. What was the cost of his insurance after the increase?

Answers

Answer:4.34

Step-by-step explanation:

I need help fast I’m timed!

Answers

Answer:

-5

Step-by-step explanation:

Please help
8th grade pre algebra

Answers

Answer:

The 1st Graph: -4/1

2nd Graph 1/3

Step-by-step explanation:

The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this. What is the deepest point in the Baltic Sea relative to the surface?

Answers

Answer:

The deepest point in the Baltic Sea relative to the surface is 459 meters.

Step-by-step explanation:

The average depth of the Baltic Sea is:

[tex] d_{1} = 52 m [/tex]

The deepest point in the Baltic Sea is (lower than this):

[tex] d_{2} = 407 m [/tex]

Hence, the deepest point in the Baltic Sea relative to the surface is given by:

[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]

Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.

I hope it helps you!          

Solve the problem algebraiclly i

Answers

Answer:

x=-3.75

Step-by-step explanation:

17 = -13-8x

30=-8x

x=-3.75

Answer:

Step-by-step explanation:

17=-13-8x

Step 1: add 13 to both sides

30=-8x

Step 2: divide by -8

-3.75=x

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth?

Answers

Answer: 5.9

9.94 rounded to the nearest tenth is 5.9

Plz mark brainliest:)

create a predictable sequence of at least 4 numbers that is not arithmetic or geometric.

Answers

Answer:

1,2,3,5,8,13,.......

Step-by-step explanation:

We can have a sequence that adds the previous two terms to get the next term

1,2,3,5,8,13,.......

This is neither geometric nor arithmetic

What is the equation of the line that passes through the point (-1, -5) and has a
slope of -3?

Answers

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

I need help with this urgently!!

Answers

Answer:

c

Step-by-step explanation:

your welcome

|5x|>-4
Solve the following inequality

Answers

Answer:

all numbers

Step-by-step explanation:

|5x|>-4

Absolute values are greater than or equal to zero

This says that our absolute value is greater than a negative number

This is always true so x can be any number, so it has infinite solutions

x is all real numbers

Plz help What is the quotient of 2 1/4 and 5/8
A.5/18
B.9/16
C.3 3/5
D.2 7/8

Answers

C because you’d convert the mixed numbers to 9/4 divided by 5/8, multiply the reciprocal giving u 9/4 x 8/5, then reduce to 9 x 2/5, final answer is 3 3/5
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