Geometry B: fill in the blank

Part A

Select any two columns from the table to compute the slope

I'll pick the first two columns to select (2,246) and (4,450)

m = (y2-y1)/(x2-x1)

m = (450-246)/(4-2)

m = 102

The slope is 102. This is the daily fee. It is the cost per day to rent the beach house. This does not include the processing fee, which is the y intercept. We'll use this m value along with one of the columns of the table to help find the value of b.

y = mx+b

246 = 102*2+b

246 = 204+b

246-204 = b

42 = b

b = 42

The processing fee is $42, which is the initial starting amount of money you must pay to get the beach house (even if it turns out you never use it for a single day). Then you'll pay $102 per day on top of that $42.

Because m = 102 and b = 42 are the slope and y intercept, we go from y = mx+b to y = 102x+42

The variable x stands for the number of days. The variable y is the total cost in dollars.

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Part B

Refer to part A for the steps and explanation.

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Part C

The budget is $1200. This means the total cost y cannot be larger than 1200.

Plug in y = 1200 and solve for x.

y = 102x+42

1200 = 102x+42

1200-42 = 102x

1158 = 102x

102x = 1158

x = 1158/102

x = 11.35294 which is approximate

Round down to the nearest whole number to get x = 11.

If x = 11, then,

y = 102x+42

y = 102*11+42

y = 1164

which is under the $1200 budget. However, if x = 12, then

y = 102x+42

y = 102*12+42

y = 1266

which is now over budget. Therefore, the highest x can get is x = 11.

Where the question?

btw screenshot it if you want me trust you :)

Answer:

Step-by-step explanation:

8! = 40,320

Answer:

Step-by-step explanation:

m = Δy/Δx

m = (-6 - 4) / (-4 - 5)

m = -10 / -9

m = 10/9

with only this information we can determine the answer is the first option as its the only one with the correct slope.  Let's continue anyway.

y = (10/9)x + b

4 =  (10/9)5 + b

36/9 =  50/9 + b

b = -14/9

y = (10/9)x - 14/9

Step-by-step explanation:

∠6 = 10x

∠7 = 5x

∠6 = ∠8

∠7 = ∠5

Find value of x

∠5 + ∠6 + ∠7 + ∠8 = 360

5x + 10x + 5x + 10x = 360

30x = 360

x = 360/30

x = 12°

Answer:

y 3x - 1

Step-by-step explanation:

y = 1/2(6x + 2) - 2      change 1/2 to .5

y = .5(6x + 2) - 2    

y = .5(6x) + .5(2) - 2           Distributive property

y = 3x + 1 - 2                        Multiplication

y = 3x - 1                              Simply

Answer:

1150

Step-by-step explanation:

Answer:

23 states

Step-by-step explanation:

Answer:

y=1/2x-21/2

Step-by-step explanation:

f(x) contains (3, -9) and (-1, -11)

slope : (-9-(-11)))/(3-(-1))

2/4=1/2

slope : 1/2

y=1/2x+b

-9=3/2+b

b=-21/2

y=1/2x-21/2

Answer:

5(g+4)>15

5g+20>15

5g>15-20

5g>-5

g>-1

The solution to the inequality  5(g + 4) > 15 is g > -1 and graph of the inequality is given in attachment.

To solve the inequality 5(g + 4) > 15, follow these steps:

Distribute the 5 to both terms inside the parentheses:

5g + 20 > 15

Subtract 20 from both sides of the inequality:

5g > 15 - 20

5g > -5

Divide both sides of the inequality by 5 to isolate g:

g > -1

To graph the solution, you can represent it on a number line.

Plot an open circle at -1 (since it's not included in the solution) and shade the region to the right of -1 to represent all the values of g that are greater than -1.

Therefore, the solution to the inequality is g > -1.

To learn more on Inequalities click:

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Answer:

14

Step-by-step explanation:

350÷25=14 $14 per each sticker

Answer:

its 14$

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

When we graph the points we can see that (3, 5) makes it not a linear fuction.

See attached.

Answer: a = 2 and r=-1.

Step-by-step explanation:

Answer:

  $10,304.54534

Step-by-step explanation:

The compound interest formula is ...

  A = Pe^(rt)

Substituting the given values, we get ...

  A = $10,000·e^(0.03·1) ≈ $10,304.54534

Using the normal distribution, it is found that there is a 0.8943 = 89.43% probability of a demand above 750.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of a demand above 750 is one subtracted by the p-value of Z when X = 750, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{750 - 1000}{200}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a p-value of 0.1057.

1 - 0.1057 = 0.8943

0.8943 = 89.43% probability of a demand above 750.

A similar problem is given at https://brainly.com/question/24663213

Answer:

1, 2, 3, 6, 47, 94, 141, 282, 1609, 3218, 4827, 9654, 75623, 151246, 226869, 453738

Step-by-step explanation:

I looked it up

Answer: 8 grams

Step-by-step explanation: We first need to know the proper conversions. In this case, 1g is equal to 1000mg. So, divide 5000 by 1000 to get 5. Then, we add 3 grams since it was the starting amount.

34 dollars worth of chicken

Answer:OA

Step-by-step explanation: i just did the math

The area of the triangle in the given diagram is

[tex]1/2\sqrt{(x^2_1 + y^2_1)(x^2_2 + y^2_2)}[/tex]

Option A is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The area of a triangle is given by the formula:

Area = (1/2) x base x height

In this case,

The base of the triangle is the distance between points A and C, which is given by the distance formula:

base = √((x1 - 0)² + (y1 - 0)²)

Similarly, the height of the triangle is the distance between points A and B, which is given by:

height = √((x2 - 0)² + (y2 - 0)²)

Therefore,

The area of the triangle is:

Area = (1/2) x √((x1 - 0)² + (y1 - 0)²) x √((x2 - 0)² + (y2 - 0)²)

Simplifying further:

Area =

[tex]1/2\sqrt{(x^2_1 + y^2_1)} \sqrt{(x^2_2 + y^2_2)}[/tex]

Thus,

The area of the triangle in the given diagram is

[tex]1/2\sqrt{(x^2_1 + y^2_1)(x^2_2 + y^2_2)}[/tex]

Learn more about triangles here:

https://brainly.com/question/25950519

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Answer:

1/4 ÷ 8 = 1/4 x 1/8 = 1/32

Step-by-step explanation:

Answer:

0.03125

Step-by-step explanation:

have a great day!

Answer:

(-3,-1.5)

Step-by-step explanation:

The two points are: (-2,1) & (-4,-4)

[tex]x = \frac{ - 2 - 4}{2} = - 3 \\ \\ y = \frac{1 - 4}{2 } = - \frac{3}{2} = - 1.5[/tex]

Answer:

0

Step-by-step explanation:

Hope this helps!

(Brainliest is appreciated)

Answer:

640 cm^3

Step-by-step explanation:

Volume of a rectangular prism is determined by:

depth * width * height

Here our depth, width, and height are:

10, 8, and 8

So our equation is:

10 * 8 * 8 = 640 cm^3

289Step-by-step explanation: To get my answer, i simply just had to count the numbers, which gave me 289

Hey there!

16 + b

= 16 + 6

You [start] at 16 and [go up] 6 [spaces to the right]

= 22

Therefore, your answer is: 22

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

1/2(114)+(58*2)

1/228+(116)

1/228+116/1=

26676/228=117

Answer:$9

Step-by-step explanation:

add the prices of the tokens

2+2+2=6

subtract the $3 from the subscription

18-3= 15

subtract $6 from the 15

15-6= 9

so he puts in $9 weekly

Step-by-step explanation:

x + y = 200

x : y = 4 : 6

x + y = 200

y = 200 - x

x : y = 4 : 6

x : (200 - x) = 4 : 6

6.x = 4(200 - x)

6x = 800 - 4x

10x = 800

x = 800/10

x = 80

y = 200 - x

y = 200 - 80

y = 120

(x,y) = (80,120)