Which points are on the axes 5 units from the origin

The standard form of polynomial is x^2 + 9x - 1/10

To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.

The given polynomial is

⇒ x^2 + 9x - 1/10

The standard form of the polynomial is

⇒ x^2 + 9x - 1/10

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Answer:6/13/3

Step-by-step explanation:look at how the year’s difference are

Answer:

yes, if the labor takes 150 minutes (or 2h 30 minutes)

Step-by-step explanation:

m + 350 = 2m + 200

2m - m = 350 - 200

m = 150

The final price of the shoes after successive discounts is $77.22.

What is a discount?

A discount is a reduction in the regular selling price of a good or service, either in terms of money or as a percentage.

Main Body:

Sale price = Original price - discount

The formula for successive discount is given by=

Cost price*(1 - discount₁/100)*(1 - discount₂/100)*(1 - discount₃/100)

Now calculating:

According to the question , Cost price = $165

sale price = 165*(1-0.35)*(1-0.20)*(1-0.10)

                 = 165*0.65*0.8*0.9

                 = $77.22

Hence the answer to sale price of the shoe would be $77.22

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Step-by-step explanation:

speed = distance / time

to get distance, we have to multiply by time.

the speed the 2 busses are moving seat from each other is

x + (x + 17) = 2x + 17

x = the speed of one bus

x + 17 = the speed of the other bus.

so, after 4 hours the distance between them is

(2x + 17) × 4 = 836

2x + 17 = 209

2x = 192

x = 96 km/h

bus 1 travels at 96 km/h.

bus 2 travels at 96+17 = 113 km/h.

Answer:

a) p(X =2) = 0.261

b) P(x>2) = 0.566

c) P(2<x<5)  = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24

                           n = 10

By using Poisson distribution

mean number of make purchases during a sales tax holiday

λ = np = 10 X 0.24 = 2.4

a)

The probability of getting exactly '2'

The probability

b) The probability of getting more than '2'

             = 0.090 + 0.2177+0.261 = 0.566

P(x>2) = 0.566

c) The probability of getting between  two and five

P( 2<x<5) = P(x=3)+p(x=4) =P(2<x<5) = 0.2090 + 0.125 = 0.334

hope this helps

The value of x is 33 and y is 39.

The fundamental characteristics listed below make it simple to recognise parallel lines.

As, (7x- 7) = 3x+ 45 (corresponding angles)

4x = 52

x= 13

Now, 7x- 7 + w + 63 = 180 (linear pair)

w= 180- 147

w= 33 degree.

y-6 = 33 (Alternate interior angle)

y= 39

Hence, the value of x is 33 and y is 39.

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Answer:

second option

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{2}{3}[/tex] and (a, b ) = (1, - 7 ) , then

y - (- 7) = - [tex]\frac{2}{3}[/tex] (x - 1) , that is

y + 7 = - [tex]\frac{2}{3}[/tex] (x - 1)

The trigonometric ratios for angle A are measured below.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a right angled triangle as shown in the image attached.

The six trigonometric ratios are -

sin (A) = 10/√116

cos (A) = 4/√116

tan (A) = 10/4

cosec (A) = √116/10

sec (A) = √116/4

cot (A) = 4/10

Therefore, the trigonometric ratios for angle A are measured above.

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Answer:

B

Step-by-step explanation:

if x = 0 ; y = 3

if x = -7 ; y = 0

A 0 + 7(3) = 21

0 + 21 = 21

21 = 21 (ok)

3(-7) + 0 = 21

-21 = 21 (false)

B

0 + 21 = 21

21 = 21 (ok)

(-3)(-7) + 0 = 21

21 = 21 (ok)

The number of downloads that were standard version were 560 songs.

The first step is to form a system of equations:

2.9s + 4.5h = 5629 equation 1

s + h = 1450  equation 2

Where:

Multiply equation 2 by 4.5:

4.5s + 4.5h = 6525 equation 3

Subtract equation 3 from equation 1:

896 = 1.6s

Divide both sides of the equation by 1.6:

s = 560

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Answer: If you mean how much is 1111 less than 1191, then your answer is

80.

Step-by-step explanation: 1191 - 1111 = 80.

The proportion of selling times is 0.35

From the question, we have

Selling Time___ Frequency

0 10____________3

10 20__________ 4

20 30__________ 6

30 40__________ 4

40 50__________ 3

Proportion of selling times in sample above that are less than 20 days :

total frequency = (3 + 4 + 6 + 4 + 3) = 20

Selling time which is less Than 20 days :

(0 - 10) = 3

(10 - 20) = 4

Total = (3 + 4) = 7

Proportion = selling time less Than 20 days / total frequency

= 7 / 20

= 0.35

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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The Algebraic Equation is correct

What is Algebra?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Two times a certain quantity

When a number is divided by two, ten is subtracted: 2x-9

The equal sign is a result.

The number and its sum equals 7+x.

Put everything together (except for the first 2x, that was used to find the second part).

2x-9=7+x

Get all of your like terms on the same side first. Because dealing with a negative variable can result in an additional step at the end, I personally dislike dealing with them. As a result, I'll take the n on the right and shift it to the 2x on the left.

2x-9=7+x

x-9=7

The -9 must now be positioned on the other side of the equal sign.

x = 7 + 9

x=16

Connect the 16 to the original equation to make sure you're doing it correctly.

2(16)-9=7+(16)

32-9=7+16

23=23

It is accurate.

Hence, The algebraic equation is correct

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The two possible solutions of the given quadratic equation are -

x =  +√6 +5 and x =  -√6 +5

For the given question;

(x - 5)² - 6 = 0

Bring constant on other side.

(x - 5)² = 6

Taking square root both side.

√ (x - 5)² = √6

(x - 5) = ±√6

Separate the constant and variables.

x =  ±√6 +5

There are two possible solution.

x =  +√6 +5 and x =  -√6 +5

Thus, the two possible solutions of the given quadratic equation are -

x =  +√6 +5 and x =  -√6 +5.

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The numbers matched with its divisibility numbers is

for 60 the divisibility numbers are 2,3,5,10 .

for 48 the divisibility numbers are 2,3    and

for 81 the divisibility numbers are 3,9 .

In the question ,

three numbers are given as 60 , 48 and 81

we need to match them with their , respective divisibility numbers that are given in the option  

For the first number 60 ,

we see that 60 is divisible by 2 , 3 , 5 and 10 because

30*2 [tex]=[/tex] 60  , 3*20 [tex]=[/tex] 60 , 5*12 [tex]=[/tex] 60 and 10*6 [tex]=[/tex]60 ,

So, for 60 the divisibility numbers are 2,3,5,10

that is option(c)

For the second number 48 ,

we see that 48 is divisible by 2 and 3  because

2*24 [tex]=[/tex] 48 , 3*16 [tex]=[/tex] 48 ,

So , for 48 the divisibility numbers are 2,3

that is option(b)

For the third number 81

we see that 81 is divisible by 3 and 9  because

3*27 [tex]=[/tex] 81 , 9*9 [tex]=[/tex] 81

So , for 81 the divisibility numbers are 3 an 9

that is option(a)

Therefore , The numbers matched with its divisibility numbers is

for 60 the divisibility numbers are 2,3,5,10 .

for 48 the divisibility numbers are 2,3    and

for 81 the divisibility numbers are 3,9 .

The given question is incomplete , the complete question is

Match the numbers 60 , 48 and 81  with its divisibility numbers

(a) 3,9

(b) 2,3

(c) 2,3,5,10

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Answer:

yes

Step-by-step explanation:

because 4

Answer:

Step-by-step explanation:

average rate of change

[tex]=\frac{25-(-10)}{9-2} \\=\frac{35}{7}\\=5[/tex]

Answer:

Step-by-step explanation:

1. First multiply to get the number of hours for 5 painters.

5*21= 105 minutes for 5 painters.

2. Divide by 7 for hours taken for the 7 painters!

105/7=15

3. Answer=15 hours

The probability that the proportion of no-shows in a sample of 789 ticketed passengers would differ from the population proportion by less than 3% is 0.9968

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = p = 9% = 0.09

sample size, n = 789

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.09(1 - 0.09)) / 789}

= √{(0.09 * 0.91) / 789}

= 0.0102

The probability

differ from the population proportion by less than 3%

|X - 0.09| < 0.03

X < 0.12 OR X > 0.06

0.06 < X < 0.12

P(z < 0.12) - P(z < 0.06 )

z score for z < 0.06

z = (0.06 - 0.09) / 0.0102

= -2.9412

p value for z < -2.9412 = 0.0016

z score for z < 0.12

z = (0.12 - 0.09) / 0.0102

=  2.9412

p value for z < 2.9412 = 0.9984

The probability required = 0.9984 - 0.0016 = 0.9968

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The number of mainland countries is 20 and the number of island countries is 5 countries that Willy visited.

Let the number of mainland be represented by m

Let the number of island be represented by x.

This will be illustrated as:.

m + x = 25 .... i

2m + 5x = 65 .... ii

From equation i, m = 25 - x.

Put this into equation ii

2m + 5x = 65

2(25 - x) + 5x = 65

50 - 2x + 5x = 65

3x = 65 - 50

3x = 15

Divide

x = 15 / 3

x = 5

Island countries = 5

Since m + x = 25

m = 25 - 5 = 20

Mainland countries = 20

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After factorization we get the two terms ( w - 3 ) ( w + 2 )

And the values of  A and B as 3 and 2 respectively .

That is A = 3 and B = 2.

The given expression is w² - w - 6.

This question can be calculated easily by middle term split

First step is to multiply the first and the last term

which will give us - 6

thus now we have to look for two number which when either added or subtracted will give us - 1

Thus we can write it as :

w² - 3 w + 2 w - 6

Now take the terms which are common

and we will get

w ( w - 3 ) + 2 ( w - 3 )

( w - 3 ) ( w + 2 )

Thus if we compare it with (w - A) (w + B)

we will get the values of A and B as

3 and 2 respectively .

That is A = 3 and B = 2

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Answer: -2 isn’t a whole number and -1.2 isn’t a integer.

The conversion of the measurement of 65 lb will be 29483.5 g.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

In this case, we need to convert 65 lb to g

It should be noted that we have to multiply the weight value by 453.5

Therefore, it should be noted that 65 lb will be:

= 65 x 453.5

= 29483.5 g.

Therefore, it should be noted that the conversion of the measurement of 65 lb will be 29483.5 g.

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Answer:

1). True

2). x = 16.4 m^2

3). A = 24, h = 4

4). A = 18.39

5). 162

Step-by-step explanation:

I took this quiz on K12 and got everything correct! Brainliest welcome! :)

The addition property used by Bill in finding the actual December temperature is the commutative property of addition.

According to the question,

We have the following information:

Bill claims that he found the actual December temperature by adding either -5 + 3 or 3 +-5.

We know that are five properties of addition: closure property, commutative property, associative property, additive identity property of addition and additive inverse property.

The commutative property of addition means that if two numbers are added and their order is inversed then  the result of addition will always be the same.

For example, we get -2 by adding -5+3 and 3+(-5). The change in order of digits does not affect the final result.

Hence, the addition property used by Bill in finding the actual December temperature is the commutative property of addition.

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The solutions to these system of equations are given as follows:

1. x = 1, y = 7.

2. x = 0.5, y = 2.

3. x = 6, y = -2.

4. x = 3, y = 3.

A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of a problem.

For item 1, it is already stated that the solution for x is x = 1, hence the solution for y is obtained as follows:

y = 2(1) + 5 = 7.

For item 2, we are given two equations for y, hence the solution for x is obtained as follows:

2x + 1 = 6x - 1

4x = 2

x = 2/4

x = 0.5.

Hence the solution for y is:

y = 2(0.5) + 1 = 1 + 1 = 2.

For item 3, from the second equation, we have that:

y = 4 - x.

Then the solution for x will be of:

2(x - 7) = 4 - x

2x - 14 = 4 - x

3x = 18

x = 18/3

x = 6.

The solution for y is:

y = 4 - 6 = -2.

For item 4, from the first equation, we have that:

y = 3x - 6.

Then, replacing on the second equation, the solution for x is obtained as follows:

x + 3(3x - 6) = 12

x + 9x - 18 = 12

10x = 30

x = 3.

Then the solution for y is:

y = 3x - 6 = 3(3) - 6 = 9 - 6 = 3.

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The equation of the transformation of the exponential function y = 2ˣ in the form y = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is y = (-2)·2ˣ + 3

An exponential equation is an equation that has exponents that consists of variables.

The given equation is y = 2ˣ

The equation for the transformation is; y = A·2ˣ + k

The points on the graphs are;

(0, 1), (1, -1) and (2, -5)

Plugging the x and y-values to find the value A and k gives  the following simultaneous equations;

When x = 0, y = 1, therefore;

1 = A·2⁰ + k = A + k

1 = A + k...(1)

When x = 1, y = -1, which gives;

-1 = A·2¹ + k

-1 = 2·A + k...(2)

Subtracting equation (1) from equation (2) gives;

-1 - 1 = 2·A - A + k - k

-2 = A

1 = A + k, therefore;

1 = -2 + k

k = 2 + 1 = 3

k = 3

Which gives;

y = -2·2ˣ + 3 = 3 - 2·2ˣ

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Answer:

Step-by-step explanation:

The answer would be 1.82448

The simple interest is 2112.5 and the maturity value is 21,612.5

In the given question,

We have to find the simple interest and maturity value.

The given principal amount (P)= 19,500

The interest rate (r)= 6 1/2%

We write the interest in improper fraction. We can write it as 6 multiple with 2 then adding the result of multiplication with 1.

So the simplest form (r)=13/2%

Time = 20 months.

Now converting the months into years.

As we know that in one year have 12 months.

So the Time = 20/12

Time (T)= 5/3

The formula of simple interest is

I = P*R*T/100

Now putting the value

I = 19,500*(13/2)*(5/3)/100

Simplifying

I = 19,500*13*5/100*2*3

I = 1,267,500/600

I = 2112.5

Hence, the simple interest is 2112.5.

Now finding the maturity value(MV).

MV=P+I

MV=19,500+2112.5

MV=21,612.5

Hence, the maturity value is 21,612.5

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