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3 years ago

Find the difference. (3x3−2x2+4x−8)−(5x3+12x2−3x−4)=

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

Answer:

-2x³ - 14x² + 7x - 4

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(3x³ - 2x² + 4x - 8) - (5x³ + 12x² - 3x - 4)

Step 2: Simplify

[Distributive Property] Distribute negative: 3x³ - 2x² + 4x - 8 - 5x³ - 12x² + 3x + 4
Combine like terms (x³): -2x³ - 2x² + 4x - 8 - 12x² + 3x + 4
Combine like terms (x²): -2x³ - 14x² + 4x - 8 + 3x + 4
Combine like terms (x): -2x³ - 14x² + 7x - 8 + 4
Combine like terms: -2x³ - 14x² + 7x - 4

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What is 63= 9k;6,7,8

OLEGan [10]

63 = 9k

divide by 9 on each side to get k by itself

k = 7

4 0

4 years ago

We want to compare the quality of three Tablet products: Tablet Product A has a Mean Time Between Failures (MTBF) 10,000 hours,

skelet666 [1.2K]

Answer:

The Availability of tablets A,B and C are equal

Step-by-step explanation:

Computation for Which tablet has better Availability

Using this formula

Availability of Tablet=MTBF/ ( MTBF + MTTR)

Where,

MTBF represent Mean Time Between Failures

MTTR represent Mean Time To Repair

Let plug in the formula

Availability of Tablet A = 10,000hrs/(10,000hrs + 10hrs)

Availability of Tablet A= 0.999

Availability of tablet B = 11,000hrs/( 11,000hrs + 11hrs )

Availability of Tablet B= 0.999

Availability of Tablet C = 12,000hrs/ ( 12,000hrs + 12hrs)

Availability of Tablet C= 0.999

Based on the above calculation the Availability of all the 3 tablets are equal

Therefore the Availability of tablets A,B and C are equal.

3 0

3 years ago

5) Paul invests $3,092 in a savings account

Mkey [24]

Answer:

R = 5% per year

Step-by-step explanation:

Solving for rate r as a decimal

r = n[(A/P)^1/nt - 1]

r = 4 × [(4,835.71/3,092.00)^1/(4)(9) - 1]

r = 0.05

Then convert r to R as a percentage

R = r * 100

R = 0.05 * 100

R = 5%/year

Summary:

The interest rate required to get a total amount of $4,835.71 from compound interest on a principal of $3,092.00 compounded 4 times per year over 9 years is 5% per year.

3 0

3 years ago

What single percentage change is equivalent to a 9% increase followed by a 14% decrease?

ivann1987 [24]

Assume the number 100. 100*1.09=109. You then do 109*0.86=93.74.

So the overall decrease is 6.26%.

8 0

3 years ago

WUIZ

AVprozaik [17]

Answer:

B length = 8 in.; width = 4 in

Step-by-step explanation:

Given

the length L = w + 4

Perimeter = 24 inches

Perimeter of a rectangle

= 2(L + W)

We now have two equations.

Equation 1: L = w + 4

Equation 2: P = 2(L + W)

Substitute L as w + 4 into equation 1. And 24 for p

Therefore

24 = 2(w + 4 + w)

24 = 2(2w + 4)

Distribute 2 into (2w + 4)

We have

24 = 2 x 2w + 2 x 4

24 = 4w + 8

Subtract 8 from both sides

24 - 8 = 4w + 8 - 8

16 = 4w

Divide both sides by 4

16/4 = 4w/4

4 = w

w = 4 inches

Now substitute 4 for w into either of the equations to get

Using equation 1 , we have

L = w + 4

L = 4 + 4

L = 8 inches

6 0

3 years ago

Read 2 more answers