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3 years ago

Solve for u. -3= -1/u+1

Mathematics

2 answers:

Inga [223]3 years ago

8 0

Answer:

u = -2/3

Step-by-step explanation:

-3 = -1/ (u+1)

Multiply each side by (u+1)

-3 *(u+1) = -1/ (u+1) * (u+1)

-3 (u+1) = -1

Distribute

-3u -3 = -1

Add 3 to each side

-3u -3+3 = -1+3

-3u = 2

Divide each side by -3

-3u/-3 = 2/-3

u = -2/3

jolli1 [7]3 years ago

3 0

Answer:

-2/3

Step-by-step explanation:

multiply each side by u +1 to get it out of the denominator

-3(u + 1) = -1

now use distributive property

-3u - 3 = -1

add the 3 to move it over

-3u = 2

now divide by -3

u = -2/3

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The frequency of A4 is 440.00 Hz.<br> what is the frequency of A6, which is two octaves above A4?

zhannawk [14.2K]

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above: <span>The frequency of A4 is 440.00 Hz.

2. So, you must apply the following formula to calculate the frequency of A6, which is two octaves above:

(2</span>^n)f

Where n is the octaves above and f is the known frequency.

3. Therefore, you have:

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5 0

3 years ago

Read 2 more answers

consider a polynomial f(x)=ax^3 + bx^2 + x + 2/3.if x + 3 is a factor of f(x) and f(x) is divided by x + 2, then we get remainde

Elanso [62]

Answer:

a = 2/27

b = 13/27

Step-by-step explanation:

The given polynomial is presented as follows;

f(x) = a·x³ + b·x² + x + 2/3

Given that x + 3 is a factor, we have;

f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0

-27·a + 9·b - 3 + 2/3 = 0

-27·a + 9·b = 7/3........(1)

Also we have

(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5

Therefore;

a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5

-8·a + 4·b - 2 + 2/3 = 5

-8·a + 4·b = 2 - 2/3 = 4/3........(2)

Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;

-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3

-8·a + 12·a = 8/27

4·a = 8/27

a = 2/27 ≈ 0.0741

imputing the a value in equation (1) gives;

-27×2/27 + 9·b = 7/3

-2 + 9·b = 7/3

9·b = 7/3 + 2 = 13/3

b = 13/27 ≈ 0.481.

6 0

3 years ago

A standard deck of cards contains 52 cards. One card is selected from the deck.

Anastaziya [24]

Answer:

1) Probability of randomly selecting a diamond or club = $\frac{1}{2}$

2)Probability of randomly selecting a diamond or club or heart = $\frac{3}{4}$

3) P(selecting a five or club) = $\frac{4}{13}$

Step-by-step explanation:

Total cards in the deck = 52

Noe Let E : favorable Event

So, $P(E) = \frac{\textrm{Number of Favorable outcomes}}{\textrm{Total outcomes}}$

1 ) Probability of randomly selecting a diamond or club

Here the favorable event is picking a club or diamond

hence, favorable outcomes = Number of club and diamond

= 13 + 13 = 26

⇒P(selecting a diamond or club) = $\frac{26}{52} = \frac{1}{2}$

2) Probability of randomly selecting a diamond or club or heart

Here the favorable event is picking a diamond and club and heart.

hence, favorable outcomes = Number of clubs + diamond + heart

= 13 + 13 + 13 = 39

⇒P(selecting a diamond or club or heart) = $\frac{39}{52} = \frac{3}{4}$

3 )Probability of randomly selecting a five or club.

Here the favorable event is selecting a five or club.

hence, favorable outcomes = Number of 5 in a deck + Number of clubs

= 3 + 13 = 16

⇒P(selecting a five or club) = $\frac{16}{52} = \frac{4}{13}$

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3 years ago

If the cost of 15 bananas is rs 84 how many bananas can be bought for rs 140?

Troyanec [42]

Answer:

25 bananas.

Step-by-step explanation:

The cost of one banana = 84/15 = rs 28/5 = rs 5.60.

So the number of bananas costing rs 140

= 140 / 5.60

= 25 bananas.

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3 years ago