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SpyIntel [72]
3 years ago
10

Help me please for the brainliest answer

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer with Step-by-step explanation:

a) {n}^{2}  + 3 \\  \\ n = 1 \\  {1}^{2}  + 3 \\ 1 + 3 \\  = 4 \\  \\ n = 2 \\  {2}^{2}  + 3 \\ 4 + 3 \\  = 7 \\  \\ n = 3 \\  {3}^{2}  + 3 \\ 9 + 3 \\  = 12 \\  \\ n = 4 \\  {4}^{2}  + 3 \\ 16 + 3 \\  = 19 \\  \\ n = 10 \\  {10}^{2}  + 3 \\ 100 + 3  \\  = 103

In this sequence,

1st term = 4

2nd term = 7

3rd term = 12

4th term = 19

10th term = 103

b)2 {n}^{2}  \\  \\ n = 1 \\ 2 \times  {1}^{2}  \\ 2 \times 1 \\  = 2 \\  \\ n = 2 \\ 2 \times  {2}^{2}  \\ 2 \times 4 \\  = 8 \\  \\ n = 3 \\ 2 \times  {3}^{2}  \\ 2 \times 9 \\  = 18 \\  \\ n = 4 \\ 2 \times  {4}^{2}  \\ 2 \times 16 \\ =   32 \\  \\ n = 10 \\ 2 \times  {10}^{2}  \\ 2 \times 100 \\  = 200

in this sequence,

1st term = 2

2nd term =8

3rd term = 18

4th term =32

10th term = 200

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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

5 0
3 years ago
Explain how to do (2^-2/3^3)^4 i need to know how to do this.
cricket20 [7]

Answer:

((2^(-2))÷(3^3))^4=

Step-by-step explanation: expand

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2 years ago
Captain Ishaan has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless
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Answer:

Khan Academy's answer is 4/35.

Step-by-step explanation:

4/5 * 1/7 = 4/35

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3 years ago
Twice x, plus 4, is the same as -6.
BARSIC [14]
Start by writing what is said:
2x + 4 = -6
From there just solve for x:

Subtract 4 from both sides
2x + 4 - 4 = -6 - 4
2x = -10

Divide by 2 to get x by itself
2x/2 = -10/2
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