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ivolga24 [154]
3 years ago
11

Is this expression 6(2r+(−1)+1 equivalent to 12r-5

Mathematics
2 answers:
Elanso [62]3 years ago
8 0

Answer:

No.

Step-by-step explanation:

Let's solve our expression first:

6(2r+(-1)+1

12r + (-6) + 6

12r - 6 + 6

12r - 0

Conclusion:

12r - 0 ≠ 12r - 5

Hope it helped,

BiologiaMagister

VARVARA [1.3K]3 years ago
6 0

Answer:

no it's not

Step-by-step explanation:

6(2r+(-1)+1 = 12r + -6 + 6 = 12r+ 0 => not equivalent to 12r - 5

Hope this help :)

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Step-by-step explanation:

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3 years ago
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Answer:

Step-by-step explanation:

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                   πr² = 56

                 3.14r² = 56

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                        r²= 17.83

                        r = √17.83

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Diagonal of the square = 2 * 4.22 = 8.44 cm

x² + x² = 8.44²

2x² = 71.2336

  x² = 71.2336/2

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3 years ago
Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

Sales revenue = no of units sold * price = x(700-5x) = 700x-5x^2

Profit funciton = P(x) = Sales revenue - Total cost

= 700x-5x^2-400x-1600\\=300x-5x^2-1600

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

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8 0
3 years ago
if a motercycle is moving at a constant speed down the highway of 40 km/hr, how long would it the motorcycle to travel 10 km
ahrayia [7]

Answer:

15 minutes

Step-by-step explanation:

First, the motorcycle goes at a speed of 40 km/hr.

The question asks for how long it would take to travel 10 km.

Well, there are 60 minutes in an hour, since we will be translating into minutes.

Also, 10 km is 1/4 of 40 km, so it would make sense that the time length would be 1/4 of an hour as well.

1/4 of 60 minutes is 15 minutes.  So it takes 15 minutes for the motorcycle to travel 10 km.

Now, if all this wordy stuff is too much to comprehend, you can also solve using proportional relationships.

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Now cross multiply:

40km*xmin=10km*60min\\40x=600

Divide both sides by 40:

\frac{40x}{40}=\frac{600}{40}\\x=15

Again, this shows that it wouls take 15 minutes for the motorcycle to travel 10 km.

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4*3.14=12.56
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7 0
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