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Makovka662 [10]
4 years ago
10

Let P=x^2+6 PLEASE SHOW WORK!! 15 POINTS

Mathematics
1 answer:
stellarik [79]4 years ago
4 0

Answer:

Step-by-step explanation:

P = x^2 + 6

(x^2+6)^2 - 21 = 4x^2 + 24\\(x^2+6)^2 - 4x^2 - 45 = 0

Solving for 4x^2:

P = x^2 +6

P - 6 = x^2

4(P - 6) = 4x^2

Substitution:

p^2 - 4p - 24 - 45 = 0\\p^2 -4p - 69 = 0

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Mnenie [13.5K]
What the person said above
7 0
3 years ago
Simple questions points!!! :)<br><br> Will also give you brainliest <br><br> Answer questions 3-6
olasank [31]

Answer:

3. aₙ = -9n +7

4. d = -2.4

5. a₆ = 45

6. aₙ = 133 + 4n

Step-by-step explanation:

Question 3.

a₁ = -2; aₙ = aₙ₋₁ - 9

The explicit rule for an arithmetic sequence is

        aₙ = a₁ + d(n -1 )

         d = aₙ - aₙ₋₁

        aₙ = aₙ₋₁ - 9     Subtract aₙ₋₁ from each side

aₙ - aₙ₋₁ = -9

         d = -9

For this sequence,  

aₙ = -2 – 9(n - 1)     Remove parentheses

aₙ = -2 - 9n + 9      Combine like terms

aₙ = -9n + 7

===============

Question 4

d = aₙ - aₙ₋₁

a₂ - a₁ = 6.2 – 8.6 = -2.4

a₃ - a₂ = 3.8 – 6.2 = -2.4, etc.

The common difference is

d = -2.4

===============

Question 5

aₙ = 8n – 3     Substitute the value of n

a₆ = 8×6 – 3

a₆ = 48 - 3

a₆ = 45

============

Question 6

a₁ = 137; d = 4

aₙ = a₁ + d(n -1 )

aₙ = 137 + 4(n -1 )

aₙ = 137 + 4n -4

aₙ = 133 + 4n

3 0
3 years ago
How do you multiply polynomials
jek_recluse [69]

Answer:Remember that when you multiply two terms together you must multiply the coefficient (numbers) and add the exponents. Step 2: Combine like terms (if you can). Step 1: Distribute each term of the first polynomial to every term of the second polynomial.


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Sasha's grandmother loves to travel. She sends Sasha postcards from all around the world. Sasha keeps the postcards in a special
solong [7]
The combined volume is 320 cu. in.

The volume of the bottom of the box is given by the formula

V = lwh

In this situation, we have
V=8(8)(4) = 256 cu. in.

The volume of the top is given by the formula
V = 1/3lwh

For this situation, we have
V=1/3(8)(8)(3) = 64 cu. in.

Together, this makes
256+64 = 320 cu. in.
8 0
3 years ago
The hiking trail 2600 miles long and passes through fourteen states. Because it is their first time hiking the trail, Janet and
GarryVolchara [31]

Answer:

They will hike 16% of the trail in Georgia.

Step-by-step explanation:

We have that:

The hiking trail is of 2600 miles.

416 of those miles are in Georgia?

What percent of the trail will they hike?

Georgia distance multiplied by 100% and divided by the total distance. So

416*100%/2600 = 16%

They will hike 16% of the trail in Georgia.

6 0
3 years ago
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