solve the inequality for x
-2x + 2 < -8​

Answer:

321.565

Step-by-step explanation:

hundredths is the second digit behind the decimal point so that means 5+1 is 6 Hope this helps

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.

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:

(-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: 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.

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

Step-by-step explanation:

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

1/228+(116)

1/228+116/1=

26676/228=117

Answer:

Step-by-step explanation:

8! = 40,320

Answer:

  1/12 goes in the blank

Step-by-step explanation:

For there to be infinitely many solutions, the left and right sides must be identical when simplified.

  x -1/4 = 3(1/3x - __) . . . . divide by 2

  x -1/4 = x -3(__) . . . . . . . eliminate parentheses

  -1/4 = -3(__) . . . . . . . . . subtract x

  1 = 12(__) . . . . . . . . . . . multiply by -4

  1/12 = __ . . . . . . . . . . divide by 12

The equation with infinitely many solutions is ...

  2(x -1/4) = 6(1/3x - 1/12 )

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°

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

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!

34 dollars worth of chicken

Answer:

1150

Step-by-step explanation:

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:

The answer is 0.003

Step-by-step explanation:

In order to convert a percentage into a decimal you have to move the decimal two places to the left; just like how you turn a decimal into a percentage by moving the decimal two places to the right.

Answer:

0

Step-by-step explanation:

Hope this helps!

(Brainliest is appreciated)

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

u. The distance we travel in the direction of v, while traversing u is called the component of u with respect to v and is denoted compvu. The vector parallel to v, with magnitude compvu, in the direction of v is called the projection of u onto v and is denoted projvu.

Answer:

[tex]comp_vu=\sqrt{2}[/tex]

Step-by-step explanation:

The component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}[/tex] where [tex]u\bullet v[/tex] is the dot product and [tex]||v||[/tex] is the magnitude of vector v.

The dot product is [tex]u\bullet v=u_1v_1+u_2v_2=(-4)(1\sqrt{2})+(6)(1\sqrt{2})=2\sqrt{2}[/tex]

The magnitude of vector v is [tex]||v||=\sqrt{v_1^2+v_2^2}=\sqrt{(1\sqrt{2})^2+(1\sqrt{2})^2}=\sqrt{2+2}=\sqrt{4}=2[/tex]

Therefore, the component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex]

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

Answer: a = 2 and r=-1.

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  ( 2 /3 ,  − 10 /3 )

Focus:  ( 2 /3 ,  − 13 /4 )

Axis of Symmetry:  x = 2 /3

Directrix:  y = − 41 /12

x                        y

− 1                      5

0                      − 2

2                       3

− 10                    3

2                       2

3                       13

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

Where the question?

btw screenshot it if you want me trust you :)

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

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)