What is the equation of the line?

The equation of the line is y=2x+15.

Given point (1,17) and the slope m=2

The universal equation for any straight line is y=mx+c. m is the line's slope, and c is the y-intercept.

To find the equation of the line formulae is [tex](y-y_{1})=m(x-x_{1})\\[/tex]

Here, m=2 , [tex]x_{1}=1 \\[/tex] and [tex]y_{1}=17[/tex]

substituting the values we get

y-17=2(x-1)

y-17=2x-2

y=2x+15

Therefore, The equation of the line is y=2x+15.

The equation of line is an algebraic representation of a set of points in a coordinate system that form a line. The several points in the coordinate axis that form a line are represented as a set of variables x, y to build an algebraic equation known as an equation of a line. We can use the equation of any line to determine if a given point is on the line or not.

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Answer: A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.

The theoretical mean and standard deviation is 22 and 38 respectively

np>5 and n(1-p)>5 for normal approximation

p=0.77

np>5  n×0.77>5=6.49

n(1=0.77)>5

n>5/0.23

n=21.7

The standard error of the mean for a sample size of 153 is 25 . In quest to reduce the SE of the mean in half(to 12.5 )

Standard error of sample maean is se=sd/sqrt n

se=sd/sqrt 153

Taking four times of sample size we get 4×153=612

The required sample size is 612

The mean of an infinite population is 73 and a standard deviation of 38 . The sample size of 121 is taken randomly from the given population. The SE of the sample mean equals:

standard error of the sample mean =38/sqrt121=3.4545

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We get more money off when we follow order 1, that is, second deal follows first deal.

Given,

There are two deals in an online electronics retailer.

First deal: 10% off on your total purchase = x × (90/100)

Second deal: $20 off on a purchase of minimum $100 = x - 20

x be the money we spend.

We have to spend a minimum of $100.

They allowed us to use both deals.

We have to find the order of deals.

Lets check:

Order 1:

First deal, then Second deal.

First deal, x = 100

ie, x × (90/100) = 100 × (90/100) = 90

Second deal, x = 90

ie, x - 20 = 90 - 20 = 70

100 - 70 = 30

ie, $30 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 100

x - 20 = 100 - 20 = 80

First deal, x = 80

ie, x × (90/100) = 80 × (90/100) = 72

100 -72 = 28

ie, $28 will get off when we apply this order.

So, we can go for order 1.

Now lets check the same with x = 150 and x = 500

x = 150

Order 1:

First deal, then Second deal.

First deal: x = 150

ie, x × (90/100) = 150 × (90/100) = 135

Second deal, x = 135

ie, x - 20 = 135 - 20 = 115

150 - 115 = 35

ie, $35 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 150

x - 20 = 150 - 20 = 130

First deal, x = 130

ie, x × (90/100) = 130 × (90/100) = 117

150 - 117 = 33

ie, $33 will get off when we apply this order.

So, we can go for order 1.

x = 500

Order 1:

First deal, then Second deal.

First deal: x = 500

ie, x × (90/100) = 500 × (90/100) = 450

Second deal, x = 450

ie, x - 20 = 450 - 20 = 430

500 - 430 = 70

ie, $70 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 500

x - 20 = 500 - 20 = 480

First deal, x = 480

ie, x × (90/100) = 480 × (90/100) = 432

500 - 432 = 68

ie, $68 will get off when we apply this order.

So, we can go for order 1.

Lets  conclude that,

We get more money off when we follow order 1, that is, second deal follows first deal.

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Based on the calculations on this arithmetic sequence, the value of the first term is equal to -8.

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Given the following data:

Tenth term (a₁₀) = 30.

Common difference = 2.

Substituting the given parameters into the formula, we have;

10 =  a₁ + (10 - 1)2

10 =  a₁ + (9)2

10 =  a₁ + 18

a₁ = 10 - 18

First term, a₁ = -8.

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Answer:

The bottom Option

Note:

Due to my sus vibes from your questions, this is the last one I am answering from you. this is basic and easy if you read it.

The equation of the line that passes through (4,13) and (8,1) is y = 0.6x + 10.6

given the points (4,13) and (8,1)

(x1,y1) = (4,13)

(X2, y2) = (8,1)

now we have to find slope of the line passing through these points.

[tex]slope = \frac{(y2 - y1)}{(x2 - y1)} \\ slope = \frac{1 - 4}{8 - 13}[/tex]

[tex]slope = \frac{ - 3}{ - 5} [/tex]

slope = 0.6

Hence, the slope of the line is 0.6

we know the standard form of equation of the line.

y = mx + b

let us put the x = 4 and y = 13

y = mx + b

13 = 0.6(4) +b

13 = 2.4 + b

13 - 2.4 = b

10.6 = b

now put the m and b value into standard form of equation of the line to get the equation of the line.

y = 0.6m + 10.6

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Answer:

The two numbers are 8 and -2

Step-by-step explanation:

a=b+10

2(a+b)=12

you then substitute the first equation's value for a into the second equation.

2(b+10+b)=12

2(2b+10)=12

4b+20=12

b+5=3

b=-2

Then you substitute this value for b back into the first equation.

a=b+10

a=-2+10

a=8

For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.

An individual data set's mean is its average. The concept of mean informs us of the quantity of data in its entirety.

In other words, this same deviation of data from across all data sets is built on the mean.

Mean = sum of data / Number of data

points given for the 6 games:

11,12,10,8,14 and 15

Let's say this same point in the seventh game is x, keeping the average at 12.

The average for the 7th game is.

(11 + 12 + 10 + 8 + 14 + 15 + x )/7 = 12

(70 + x )/7 = 12

70 + x = 84

x = 24

For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.

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Answer: sus

Step-by-step explanation:

The difference in their length is 16056

As per the question the length of alligators=1456 feet

At the same time the length of longest elegator is=17512 feet

We have to find out the difference

For difference we have to take

1756 min and 1456

As we know the formula of find the difference is by substituting so-

17512-1456

=16056

The difference= 16056 units feet

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Answer:

17/35, 18/35

Step-by-step explanation:

Find the common denominator to add those fractions together.

5 x 7 = 35 so the common denominator is 35. 1 x 7 is 7 so 1/5 is 7/35. 2 x 5 is 10 so 2/7 is 10/35.

10/35 + 7/35 = 17/35

They ate 17/35.

35/35 - 17/35 = 18/35

18/35 remains.

To solve this problem, simply add the fractions!

To add fractions, you must follow a rule called the Common Denominator Rule. Unlike multiplication and division of fractions, wehre the denominator can be a different number, you must convert your denominators to the same number in order to subtract or add fractions.

A common factor of [tex]\frac{1}{5}[/tex] and  [tex]\frac{2}{7}[/tex] is 35 as 5 ×7 = 35

Multiply the numerator and denominator of 1/5 by 7: [tex]\frac{(1)(7)}{(5)(7)}= \frac{7}{35}[/tex]

Multiply the numerator and denominator of 2/7 by 5: [tex]\frac{(2)(5)}{(7)(5)} =\frac{10}{35}[/tex]

Now add [tex]\frac{7}{35} + \frac{10}{35}[/tex] = [tex]\frac{17}{35}[/tex] : They ate [tex]\frac{17}{35}[/tex] of the bag

To find what fraction of the bag remains, subtract what they ate from 1.

*1 can also be written as [tex]\frac{35}{35}[/tex]*

[tex]\frac{35}{35} -\frac{17}{35} = \frac{18}{35}[/tex]

18/35 of the bag remains

The gallons of water that a clydsdale drink in 28 days will be 840 gallons.

It should be noted that Clyde's dale drinks about 120 gallons of every 4 days. Therefore, the gallons Frank in a day will be:

= 120 / 4

= 30 gallons

Therefore, the gallons drank for 28 days will be:

= 30 × 28

= 840 gallons.

Therefore, the gallons of water that a clydsdale drink in 28 days will be 840 gallons.

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Answer:The answer would be the third one $0.07 per minute

The price that would yield maximum revenue is $260  and maximum revenue is $1,690,000

What is the revenue function?

The fact that total revenue of  the company is the price per purse multiplied by the number of purses sold, means that the revenue modelled function is simply price multiplied by the quantity sold as shown below:

R(x)=P*x

R(x)=Px

R(3000)=$400*3,000

R(3000)=$1200,000

Note for every 500 more purses, the price reduces by $20

R(3500)=$380*3,500

R(3500)=$1,330,000

R(4000)=$360*4000

R(4000)=$1,440,000

R(4500)=$340*4500

R(4500)=$1,530,000

R(5000)=$320*5000

R(5000)=$1,600,000

R(5500)=$300*5500

R(5500)=$1,650,000

R(6000)=$280*6000

R(6000)=$1680,000

R(6500)=$260*6500

R(6500)=$1,690,000

R(7000)=$240*7000

R(7000)=$1,680,000

The total revenue fell at 7,000 purses, which means that the maximum revenue is $1,690,000 at 6500 purses

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The hourly rate is $9.40 per hour.

It should be noted that in this case, Julio works for 44 hours which mean 15 hours more than 29 hours.

He gets 1.3 times rate for this 15 hours and normal rate for the first 29 hours. Then the salary he would get should be: 29x + 1.3x(15)= 29x + 19.5x= 48.5x

Julio gets $456.32 which was 48.5 times of his hourly rate. The hourly rate would be:

= $456.32 /48.5

= $9.40/hour

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Julio is paid 1.3 times his normal hourly rate for each hour he works over 29 hours in a week. last week he worked 44 hours and earned $456.32.

Calculate the hourly rate.

Answer:

Step-by-step explanation:

Here's why:

64 and 32 are both divisible by 8. 64 / 8 = 8 and 32 / 8 is 4.

So then, we make the denominator 8 and numerator 1.

Answer:

y = -1

Step-by-step explanation:

→ First determine which axis the line passes through

y

→ Find which point the line passes through

-1

→ Equate both variables

y = -1

Answer: $25 to each friend

Step-by-step explanation: 100 divided by 4 = 25

Answer: 32lb 2 oz

Step-by-step explanation:

15lb.12oz.+8lb.13oz.+7lb.9oz.​=

(15+8+7)lb + (12+13+9)oz=

30lb+34oz=

30lb+32oz+2oz=32lb 2 oz

Answer:

32lb. 2oz.

Step-by-step explanation:

For ounces: 12+13+9=34

34/16= 2lb and 2oz

For pounds

15+8+7=30

For all: 30+2= 32lb

ANSWER: 32lb. 2oz.

The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4.

Let's represent the weight of the bag of chips as "x" (in ounces). The bag is allowed to go on the market if its weight is within 0.4 oz of 6 oz.

An absolute value inequality that models this situation is:

| x - 6 | ≤ 0.4

Now, let's solve the inequality:

1. x - 6 ≤ 0.4

  Add 6 to both sides:

  x ≤ 6.4

2. x - 6 ≥ -0.4

  Add 6 to both sides:

  x ≥ 5.6

The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4. This means the weight of the bag of chips must be between 5.6 ounces and 6.4 ounces (inclusive) to be allowed on the market.

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Hello!

Answer:

Jessiah is faster than Malik because 17.33 > 13.33.

Step-by-step explanation:

To solve this exercise, we will calculate the average speed of each of them, using the formula:

[tex]A_{s} =[/tex] Δ[tex]\frac{s}{t}[/tex]

Let's calculate each average velocity by replacing the values:

Hope this helps!

AshTheNeko

The additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is  (-9) + 4 + 9 + (-4) -8

The expression is given as

9 + (-4) + (-9) + 4 + 8

As a general rule, the additive inverse of an expression represented by x is

Additive inverse = -x

This means that

Expression = x

Additive inverse = -x

The above implies that we negate the expression to get the Additive inverse

So, we have

Expression = 9 + (-4) + (-9) + 4 + 8

This means that

Additive inverse = -[9 + (-4) + (-9) + 4 + 8]

Open the brackets

So, we have

Additive inverse = (-9) + 4 + 9 + (-4) -8

Hence, the additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is  (-9) + 4 + 9 + (-4) -8

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Answer:

12.17634

Step-by-step explanation:

Answer: $1,544.40

Step-by-step explanation: It just is

Answer:

Step-by-step explanation: well first their is int a chart but bye reading the question i think is is Beth.

i hope this helped.

Answer:

y=4x+-14

Step-by-step explanation:

i hope this helps

Answer: d

Step-by-step explanation: