In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house. Round your answer to the nearest dollar. (Let x = 0 represent 2000)

Answer:

1.  y=3x-4

2. y=-3x+4

3. y= -1/3x+4

4. y= 1/3x-4

Step-by-step explanation:

1. slope= change in y/ change in x

  slope= -1-(-4)/1-0=3

  y=3x+b

 -4=3(0)+b

   b=-4

y=3x-4

2. slope=4-10/0-(-2)= -3

y=-3x+b

b=4

y=-3x+4

3. slope= -1/3

y=-1/3x+b

3= -1/3(3)+b

3= -1+b

b=4

y= -1/3x+4

4. y= 1/3x-4 (last one)

Answer:

y=1

-4x + y= -3

-3 + 12= 9

y= {4}x + {3}

Step-by-step explanation:

*there is always a inviable 1 in front of a virable by it's self.*

Answer:

18

Step-by-step explanation:

30*0.4=12

This means 40% of 30 is 12 and Ana has completed 12 problems.

30-12 = 18, so she still needs to do 18 problems.

Answer: y<10

Step-by-step explanation:

2y<16+4

2y<20

y<10

Answer:

Step-by-step explanation:

Simplifying

16 = 2y + -4

Reorder the terms:

16 = -4 + 2y

Solving

16 = -4 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

16 + -2y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0

16 + -2y = -4 + 0

16 + -2y = -4

Add '-16' to each side of the equation.

16 + -16 + -2y = -4 + -16

Combine like terms: 16 + -16 = 0

0 + -2y = -4 + -16

-2y = -4 + -16

Combine like terms: -4 + -16 = -20

-2y = -20

Divide each side by '-2'.

y = 10

Simplifying

y = 10

Answer:

with what lol

Step-by-step explanation:

Answer:

Theres no question

Step-by-step explanation:

Answer:

27 of the students are girls

Answer: 8.5lbs 7 oz

Step-by-step explanation:

8oz=.5lbs

15lbs 7oz-6.5lbs=

8.5lbs 7 oz

Answer:

[tex] x \ge 15 [/tex]

Step-by-step explanation:

An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.

Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.

Thus, using inequality, this can be represented as:

[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]

Solve for x

[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]

Add like terms

[tex] 8x + 17 \ge 137 [/tex]

Subtract 17 from both sides

[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]

[tex] 8x \ge 120 [/tex]

Divide both sides by 8

[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]

[tex] x \ge 15 [/tex]

Answer:

(-4 , 0)

Step-by-step explanation:

Graph attached

Answer:

600 acres

Step-by-step explanation:

Hope this helps!

The number of acres of land Mcgregor has 600 acres.

Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of acres be x.

So, 30% of x=180

⇒ 30/100 × x=180

⇒ 0.3x=180

⇒ x=180/0.3

⇒ x=600

Hence, the number of acres of land Mcgregor has 600 acres.

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Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6

Hope you'll find it helpfull

Answer:

the answer is C

Step-by-step explanation:

[tex]5.7\% = \frac{5.7}{100} = 0.057[/tex]

Answer:

The answer is 5/6.

Step-by-step explanation:

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

All percents can be written as a fraction with their denominator as 100.

So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.

[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)

Now, the numerator would be 2 and the denominator would be 25 as shown below ...

[tex]\frac{2}{25}[/tex]

This is the simplest form of 8% as a fraction

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The simplest form of the 8% as a fraction is 2 / 25.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.

Fraction = 8 /100

Fraction = ( 4 x 2) / ( 4 x 25)

Fraction  = 2 / 25

Thus, the 8% in the fraction is 2 / 25.

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If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.

The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:

Expected frequency = (65/100) * 150 = 97.5

The observed frequency of successful free throws in the 6th season is 105.

To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:

z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))

total sample size = 150

expected frequency = 97.5

observed frequency = 105

z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28

The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.

Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.

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Answer:

64 =theta

Step-by-step explanation:

We have a right triangle.

We know the adjacent side and the hypotenuse

adjacent/ hypotenuse = cos theta

7/16 = cos theta

Take the inverse cos of each side

cos ^-1 ( 7/16) = cos ^ -1 cos theta

64.05552023 = theta

64 =theta

Answer:

≅ 64°

Step-by-step explanation:

using rule of cos invers

[tex]Cos^{-1} (\frac{7}{16} )=64.05\\[/tex]

Answer:

12y - x - 28 = 0

Step-by-step explanation:

............

Answer:

Graph D is the correct answer

Step-by-step explanation:

The graph of is attached.

The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.

Also, the slope of is 2, and the y-intercept is 2.

Now let us look at the choices given and determine which graph represents the function .

The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.

The second graph has y-intercept of 3—also not our graph.

The third graph also has a y-intercept of 3—this does match our graph either.

The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.

Therefore, the graph that matches our graph is D.

Answer:

A, 2 5/8 cups

Step-by-step explanation:

Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.

Answer:

D. 1.33

Step-by-step explanation:

[tex] \because \: x = tan (\theta) \\ \\ tan (\theta) = \frac{4}{3} \\ \\ tan (\theta) = 1.33 \\ \\ \implies \: x = 1.33[/tex]

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

Answer:

-10, -6, 3, 4, 7

Step-by-step explanation:

Hope it helps ^^

Answer:

a. always positive

Step-by-step explanation:

Alex learning?

Answer:

P= Carson City

Q= 12 inches long

Answer: X+1

Step-by-step explanation: