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9966 [12]
4 years ago
5

(x4 - 3x 3 + 3x2 - 3x + 6) + (x - 2)

Mathematics
1 answer:
Finger [1]4 years ago
6 0

Answer:

x^4 - 3x^3 + 3x^2 - 2x + 4

Step-by-step explanation:

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

Reorder

x^4 - 3x^3 + 3x^2 - 3x+x + 6-2

Simplify

x^4 - 3x^3 + 3x^2 - 2x + 4

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A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu
Flura [38]

Answer:

The speed of car in miles per minute is  \frac{2}{3} miles per minute and

The speed of car in mile per hour is 40 miles per hour,

Step-by-step explanation:

Given as :

The distance cover by car = 2 \frac{1}{3} = \frac{7}{3} miles

The Time taken by car to cover distance =  3 \frac{1}{2} min =  \frac{7}{2} min

The speed o car in miles per minute = S miles/min

So, Speed = \dfrac{\textrm Distance}{\textrm Time}

Or, S = \frac{\frac{7}{3}}{\frac{7}{2}} mie per min

∴  S = \frac{2}{3} miles per minute

Now, Let The speed of car in miles per hour = x miles/h

So, Time in hour = \frac{7}{2} × \frac{1}{60} = \frac{7}{120} hours

So ,  Speed = \dfrac{\textrm Distance}{\textrm Time}

Or, x = \frac{\frac{7}{3}}{\frac{7}{120}} miles per hours

Or, x = 40 miles per hours

Hence The speed of car in miles per minute is  \frac{2}{3} miles per minute and the speed of car in mile per hour is 40 miles per hour, answer

7 0
4 years ago
Given the following cofunction sin(x - 3)° = cos(2x + 6)°, what is the measure of the smaller angle
Dmitriy789 [7]

Note :

sin(x) = cos (90-x)

Therefore,

sin(x-3) = cos(90-(x-3))

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29°

6 0
2 years ago
Evaluating Algebraic Expressions
koban [17]
D + t = total earnings
$3h + t = total earnings
$3h + $22 = total earnings

Fill in h as however many hours she is working.
Example: She worked for 8 hrs and got $22 in tips.
$3(8) + $22 = ?
$24 +$22 = $46
6 0
3 years ago
Chandler can mow 2 lawns per hour. Use an equation to determine the number of hours it will take him to mow 7 lawns.
Gre4nikov [31]

Answer:

3 1/2

Step-by-step explanation:

2x2x2 is 6 and 1/2 of 2 is 1 which means 6+1 is 7 so it's 3 and half

8 0
3 years ago
Holly deposited $10,000 in an investment account. After 6 years the account is worth approximately $13,400. Which formula repres
eimsori [14]
For this question you need to use the formula: y=p(1+r)^t. P is the principle, or the starting amount, $10,000, r is the rate of growth or decay, and t is the number of years. y=10,000(1.05)^x
3 0
3 years ago
Read 2 more answers
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