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Leya [2.2K]
3 years ago
9

(6x^3-x^4+7)+(7x^4-3+2x^2

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

6x⁴ + 6x³ + 2x² + 4

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

(6x³ - x⁴ + 7) + (7x⁴ - 3 + 2x²)

<u>Step 2: Simplify</u>

  1. Combine like terms (x⁴):                    6x⁴ + 6x³ + 2x² + 7 - 3
  2. Combine like terms (Z):                     6x⁴ + 6x³ + 2x² + 4
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Answer:

44.75

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What is the volume of the pyramid? 540ft3 48ft3 150ft3 432ft3
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The volume of the pyramid is 432ft3.

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A rectangle with a length of 6 inches and a width of 1 foot has a perimeter of 14 inches.
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7 0
3 years ago
A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish
nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

y = ab^x

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

b = 1 - r

So, we have:

b = 1 - 8\%

Express as decimal

b = 1 - 0.08

b = 0.92

In y = ab^x

a =150

y = 30

b = 0.92

So, we have:

30 = 150 * 0.92^x

Divide both sides by 150

0.2 = 0.92^x

Take log of both sides

log(0.2) = log(0.92^x)

Apply law of logarithm

log(0.2) = x\ log(0.92)

Make x the subject

x = \frac{log(0.2)}{log(0.92)}

x = \frac{-0.6990}{-0.0362}

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

3 0
3 years ago
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