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Mazyrski [523]
1 year ago
9

List the first four terms of the sequence.

Mathematics
1 answer:
Kryger [21]1 year ago
3 0

The first four terms of the sequence are -1, 6, -22, 90

<h3>What is a sequence?</h3>

A sequence is an order in which numbers occur in  a given group of numbers.

It is also numbers arranged based on a certain rule.

Analysis:

a1 = -1

for n ≥ 2

a2 = -4a1 +2

a2 = -4(-1) + 2 = 4+2 = 6

a3 = -4a2 + 2

a3 = -4(6) + 2 = -24 + 2 = -22

a4 = -4a3 +2

a4 = -4(-22) + 2 = 88 + 2 = 90

In conclusion, the first four terms of the sequence are -1, 6, -22, 90

Learn more about Sequence: brainly.com/question/6561461

#SPJ1

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What are the coordinates of the image of vertex G after a reflection across the line y = x?​
Yuliya22 [10]

Answer:

The coordinates of the image of vertex G are (-5, 4)

Step-by-step explanation:

Let us revise some cases of reflection

  • If the point (x, y) reflected across the x-axis , then its image is (x, -y)
  • If the point (x, y) reflected across the y-axis , then its image is (-x, y)
  • If the point (x, y) reflected across the line y = x , then its image is (y, x)
  • If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)

From the given figure

∵ The line of the reflection is y = x

→ That means we will switch the coordinates of the point to find its image

∵ The coordinates of vertex G are (4, -5)

∴ The x-coordinate = 4 and the y-coordinate = -5

→ Switch the two coordinates

∴ The coordinates of its image G' are (-5, 4)

∴ The coordinates of the image of vertex G are (-5, 4)

7 0
2 years ago
Expand and simplify 5(2x-1)-2(3x+2)
kupik [55]

Answer:

4x - 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

5(2x - 1) - 2(3x + 2)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                               10x - 5 - 6x - 4
  2. Combine like terms (x):          4x - 5 - 4
  3. Combine like terms (Z):         4x - 9
6 0
2 years ago
Carl collects coins compulsively, but he only likes quarters ($0.25) and dimes ($0.10). Carl currently has 125 coins for a total
Bogdan [553]

Answer:

Carl has 35 dimes and 90 quarters

Step-by-step explanation:

Let the number of quarters be q and the number of dimes be d

Total number of coins is 125;

Hence;

q + d = 125 •••••••••(i)

The total value of quarters present = q * 0.25 = 0.25q

The total value of dimes present = d * 0.1 = 0.1d

Adding both gives the total

0.25q + 0.1d =26 ••••••••(ii)

So we need to solve both equations simultaneously;

From i,

q = 125 - d

Substitute this into ii

0.25(125-d) + 0.1d = 26

31.25 -0.25d + 0.1d = 26

31.25 -26 = 0.25d -0.1d

5.25 = 0.15d

d = 5.25/0.15

d = 35

Recall; q = 125 - d = 125 -35 = 90

7 0
2 years ago
This table shows a family's monthly budget. What percentage of the budget is allocated for entertainment? Round to the nearest t
lutik1710 [3]

Answer:

A)4.1%

Step-by-step explanation:

First you need to add all the payments together to get your total.

1400+300+150+800+300+150+100+100+150+200=3650

Then you cross multiply and divide to get the percentage.

\frac{entertainment}{total} \frac{150}{3650}=\frac{x}{100}

When you cross multiply and divide x≈4.1

8 0
3 years ago
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D, all apply
You can cut all in half and they will be equal
4 0
3 years ago
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