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Leya [2.2K]
3 years ago
12

Write the function rule for the following arithmetic sequence.

Mathematics
1 answer:
irina [24]3 years ago
6 0

Step-by-step explanation:

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Consider the solution to the linear equation. 5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4. Which describes the inverse operat
dem82 [27]

(trying to isolate/get x by itself in the equation)

5(x + 6) = 50      Distributive property   [distribute 5 into (x + 6)]

5x + 30 = 50    Subtraction    [subtract 30 on both sides of the equation]

5x = 20       Division     [divide 5 on both sides]

x = 4

Subtraction then division, the 2nd option

7 0
2 years ago
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The ratio of dark chocolate candies to white chocolate candies is 3 to 2. There are 18 pieces of dark chocolate. How many pieces
ch4aika [34]

there are 18 pieces of dark chocolate and the ratio of dark and white is 3:2 so we can divide 18 by 3.

18/3 = 6.

This means the ratio of dark chocolate to white as a 1:1 ratio would be 6:6 so we can multiply 6 by 2 to give us the total amount of pieces of white chocolate.

6*2 = 12.

Therefore there are 12 white chocolate pieces.

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3 years ago
Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a
larisa86 [58]

Answer:

Point (1,8)  

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]

Let us substitute coordinates of point P and Q as:

x_1=-8,

y_1=-4

x_2=4

y_2=12

m=3

n=1

[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]

[x=\frac{12-8}{4},y=\frac{36-4}{4}]

[x=\frac{4}{4},y=\frac{32}{4}]

[x=1,y=8]

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

   

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3 years ago
(m^(6)n^(3))/(m^(2)n^(6))
mario62 [17]

Answer:

(m^4)/(n^3)

Step-by-step explanation:

See attachment

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2 years ago
What is the rational number equivalent to 3.24 repeating?
Lesechka [4]
3   24/99 is the mixed number
321/99 is the fraction
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3 years ago
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