Find the slope and y intercept (please show work)

A sequence is the pattern or rule that guides the creation of a set. The most common sequence are the arithmetic and the geometric sequence.

The complete question illustrates that we build a sequence of number.

Let the n term of the sequence be [tex]T_n[/tex].

2 times 3 less than the previous number means:

[tex]T_n = T_{n-1} - 2 \times 3[/tex]

Where:

[tex]T_n \to[/tex] The current number

[tex]T_{n-1} \to[/tex] The previous number

Assume the first number starts with 0, the next numbers will be:

[tex]T_2 = 0 - 2 \times 3 = -6[/tex]

[tex]T_3 = -6 - 2 \times 3 = -12[/tex]

[tex]T_4 = -12 - 2 \times 3 = -18[/tex]

So, the sequence is:

0, -6, -12, -18.....

Assume the first number starts with 3, the next numbers will be:

[tex]T_2 = 3 - 2 \times 3 = -3[/tex]

[tex]T_3 = -3 - 2 \times 3 = -9[/tex]

[tex]T_4 = -9 - 2 \times 3 = -15[/tex]

So, the sequence is:

3, -3, -9, -15.....

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Answer:

litres bro

Step-by-step explanation:

yes the litres answer is correct

Answer:

midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2

distance: √[(x₂ - x₁)² + (y₂ - y₁)²]

Step-by-step explanation:

What points are you trying to calculate the distance and the midpoint for?

[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }[/tex]

Answer:

85x-81

Step-by-step explanation:

random word to fill up word counter

Answer:

missing element is 6

Step-by-step explanation:

Given

f(x) = x³ - 2 ( substitute x = 2 )

f(2) = 2³ - 2 = 8 - 2 = 6 ← missing element

ordered pair is (2, 6 )

Answer:

[tex]f(x) = {x}^{3} - 2 \\ f(2) = {2}^{3} - 2 \\ = 8 - 2 = 6 \\ (2 \: \: 6) \\ thank \: you[/tex]

Answer:

5w eggs

Step-by-step explanation:

200 * 5 = 1000

so if w eggs are needed for 200 g of flour

then 5 * w eggs are needed for 200 * 5 = 1000 g of flour

Answer:

5w eggs

Step-by-step explanation:

Step-by-step explanation:

1/2x + 10 = 1/4x + 54 Subtract 1/4x on both sides

1/4x + 10 = 54 Subtract 10 on both sides

1/4x = 44 Multiply both sides by 4

x = 176

9514 1404 393

Answer:

  x = 176

Step-by-step explanation:

Clear fractions by multiplying by 4.

  2x +40 = x +216

Subtract x+40.

  x = 176

The expression for the total number of blocks is b³

This question seems to be incomplete. Here is the complete question :

A toy manufacturer produces a set of blocks that can be used by children to build play structures. The product packaging team is analyzing different arrangements for packaging their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b blocks along one edge.

Write an expression representing the total number of blocks packaged in a cube measuring b blocks on one edge.

A cube is a 3-dimensional object that has six faces.

Characteristics of a cube

Volume of a cube = a³

Where a = length of a side

The expression that would be given is the volume of a cube. Since the length of the edge is b, the expression would be b³

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Answer:

27.25$

Step-by-step explanation:

1 dozen is 12.

327$ ÷ 12 is 27. 25

Answer:

$27.25.

Step-by-step explanation:

327/12

= $27.25

Answer:

There are generally 3 methods to solve inequalities

Step-by-step explanation:

By algebraic method

Example 1: Solve: 2x - 7 < x - 5

2x - x < 7 - 5

x < 2

By the number-line method.

Example 2. Solve  

f

(

x

)

=

x

2

+

2

x

−

3

<

0

First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 = - 3.

Replace x = 0 into f(x). We find f(0) = - 3 < 0. Therefor, the origin O is located inside the solution set.

Answer by interval: (- 3, 1)

--------------------- - 3 ++++++++ 0 ++++ 1 ----------------

3.By graphing method.

Example 2. Solve:  

f

(

x

)

=

x

2

+

2

x

−

3

<

0

.

The graph of f(x) is an upward parabola (a > 0), that intersects the x-axis at x1 = 1 and x2 = - 3. Inside the interval (-3, 1), the parabola stays below the x-axis --> f(x) < 0.

Therefor, the solution set is the open interval (-3, 1)

graph{x^2 + 2x - 3 [-10, 10, -5, 5]}

Answer:

on the 18th day

Step-by-step explanation:

LCM for 6 and 9 is 18 :)

Answer:

38

Step-by-step explanation:

Substitute the given values into the expression

(- 8)² × [tex]\frac{3}{4}[/tex] - 10

= 64 × [tex]\frac{3}{4}[/tex] - 10

= (16 × 3) - 10

= 48 - 10

= 38

Answer:

38

Step-by-step explanation:

When [tex]s^{2}t-10[/tex], s = -8 and t = 3/4

= [tex]-8^{2} \frac{3}{4} - 10[/tex]

= 64[tex]\frac{3}{4}[/tex] - 10

= (16 * 3) - 10

= 48 - 10

= 38

Answer:

$20.81

Step-by-step explanation:

There are 52 weeks in a year.

Let's say you get paid x dollars per hour. Every week, you get paid x dollars for each hour you work. If you work 44 hours, you get paid x * 44 dollars a week. We get paid x * 44 dollars each week for a year, for 52 weeks. We can represent this as (x*44) * 52 = x * 2288. This is the amount you get paid each year. Setting that to your yearly salary of $47,603, we have

$47603 = x * 2288

divide both sides by 2288 to isolate x

x ≈ $20.81

Answer:

0=0

1=12.50

2=25

3=37.50

4=

Step-by-step explanation:

Answer:

1 and 1/3 as well.

Step-by-step explanation:

Convert 1 and 1/3 to a fraction by multiplying the whole number by the denominator and adding it to the numerator.

1 x 3 + 1 = 4

= 4/3

Answer:

w= -4

Step-by-step explanation:

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Answer:

w is -4

Step-by-step explanation:

[tex]4w = 2w - 8[/tex]

make w the subject:

[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]

divide all sides by 2:

[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]

Answer:

60°

Step-by-step explanation:

90° = 6x

15° = x

60° = 4x

Answer:

60

Step-by-step explanation:

We know that LMO = 90

2x+4x = 90

6x = 90

Divide by 6

6x/6 = 90/6

x = 15

We want to find LMN = 4x = 4*15 = 60

Answer:

3% of (860 kilograms) =

25.8 kilograms

Answer:

Step-by-step explanation:

3 * 860/100

= 2580/100

= 25.8.

Answer:

last choice y= 15 x + 10 is linear function

Answer:

x=6

Step-by-step explanation:

23x-5 + 5x+17 = 180

28x+12=180

28x=180-12

28x = 168

x=168/28

x= 6

Step-by-step explanation:

Find x-intercept (where line cuts the x axis) by substituting y=0.

Find y-intercept by substituting x=0.

Once you get those 2 intercepts, join them with a straight line.

Answer:

8

Step-by-step explanation:

Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

12

Step-by-step explanation:

1/2•4•6 = (4•6)/2 = 24/2 = 12

Answer: The second number is 96.

Step-by-step explanation:

Let the second number be x

7/8 = 84/x

or, 7x = 672

or, x = 672/7

so, x = 96

Answer: The second number = 96

Step-by-step explanation:

Given information

Ratio = 7 : 8

First number = 84

Second number = x

Set proportion according to the given information

84 / x = 7 / 8

Cross multiply

7x = 84 × 8

7x = 672

Divide 7 on both sides

7x / 7 = 672 / 7

[tex]\boxed{x=96}[/tex]

Hope this helps!! :)

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Answer:

4085

Step-by-step explanation:

4 meters = 4000 millimeters + 85

= 4085

Answer:

By changing 4 meters 85 millimetres to milimetres we get 4085 milimetres

Step-by-step explanation:

In the first step change 4m to mm

We know that 1m = 1000mm

So, 4m = 4000mm

Now add 4000mm to 85mm

= 4000mm+85mm

= 4085mm