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Lorico [155]
2 years ago
6

Part A

Mathematics
1 answer:
Nat2105 [25]2 years ago
4 0

Answer:

A.  f(n) =0.2n+4.8

B. The y intercept is 4.8

Step-by-step explanation:

Given

a_n= 5 + 0.2(n-1)

Solving (a): Write as a function.

To do this, we simply substitute f(n) for a_n

a_n= 5 + 0.2(n-1) becomes

f(n)= 5 + 0.2(n-1)

Open Bracket

f(n) = 5 + 0.2n-0.2

Collect Like Terms

f(n) =0.2n-0.2 + 5

f(n) =0.2n+4.8

B. The y intercept.

To get the y intercept, we set n to 0

i.e

f(0) =0.2 * 0+4.8

f(0) =0+4.8

f(0) =4.8

Hence, the y intercept is 4.8

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5)Write an algebraic equation for each statement, and then SOLVE for x
Andrei [34K]

Answer:

Step-by-step explanation:

1. x+6=14

  14-6=8

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2. 15/x=3

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3. 7*x=56

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4. x^2-4=12

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5. 1/4x=10

  x/4 = 10

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6. 3x-9=18

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7. 1/2x-10=14

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8.x/8=9

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9.2x+3=24

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8 0
3 years ago
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the tab
siniylev [52]

Answer:

y = -2x

Step-by-step explanation:

It passes through -5, 10 and 5, -10

gradient = Δy/Δx

gradient = -10 - 10 / 5 -- 5

gradient = -20 / 10

gradient = -2

let's use -5, 10 for y = mx + b

10 = -2(-5) + b

10 = 10 + b

b = 10 - 10

b = 0.

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2 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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A square has side length of 8 in. If the area is multiplied by 36, what happens to the side length? HELP PLEASE!!
GaryK [48]

Answer:

The side length is multiplied by 6.

Step-by-step explanation:

The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.

If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.

√2304 = 48

The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.

6 0
3 years ago
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