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3 years ago

Can the product of reciprocals ever equal negative 1? Why

Mathematics

1 answer:

Aleks04 [339]3 years ago

4 0

No because when ever you multiply the same reciprocals you always end up with the number 1

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Which of the following is a factor of 30x2 + 37x + 10?

VashaNatasha [74]

your answers is A)5x + 2

5 0

3 years ago

Watch help

babymother [125]

Answer:

m∠RPQ = 8°

Step-by-step explanation:

m∠QRS = 4x - 15

m∠RPQ = x + 1

m∠PQR = x - 2

m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS

m∠QRS = m∠RPQ + m∠PQR {Exterior angle property of triangle}

4x - 15 = x +1 + x - 2

4x - 15 = x + x + 1-2 {Combine like terms}

4x - 15 = 2x - 1 {Subtract 2x from both sides}

4x - 2x - 15 = - 1

2x - 15 = - 1 {Add 15 to both sides}

2x = -1 + 15

2x = 14 {Divide both sides by 2}

x = 14/2

x = 7

m∠RPQ = x + 1 = 7 + 1 = 8°

4 0

3 years ago

Read 2 more answers

The depth of water near a boat dock is collected by a buoy. The data shows that the water level reached 11 feet during high tide

Scorpion4ik [409]

9514 1404 393

Answer:

9.17 ft

Step-by-step explanation:

Put x=12 in the equation and evaluate. (The sine argument is in degrees.)

y = 1.5·sin(25.72(12 +1.5)) +9.5 = 1.5·sin(347.22) +9.5

y = -0.33 +9.5 = 9.17

The water will be 9.17 feet deep at noon.

3 0

3 years ago

[|(x-4)÷(x+5)|]\leq[4]

Katena32 [7]

Answer:

Solutions are;

x = -8

x = -3.2

Step-by-step explanation:

Here, we want to solve the given equation for x

|(x-4)/(x + 5)| = 4

From what we have, this is an absolute value equation and thus, we are going to have two solutions

These are;

x-4/x+ 5 = 4

x-4 = 4(x + 5)

x-4 = 4x + 20

x-4x = 20 + 4

-3x = 24

x = -24/3

x = -8

secondly;

x-4/x+5 = -4

x-4 = -4(x + 5)

x-4 = -4x - 20

x + 4x = -20 + 4

5x = -16

x = -16/5

x = -3.2

3 0

3 years ago

Given the sample −4, −10, −16, 8, −12, add one more sample value that will make the mean equal to 3.

Agata [3.3K]

Answer: The value to add to the set is 52

=======================================================

For a moment, ignore the extra value we'll add in later.

The given set of values add to -34.

Let x be the extra value we add in. It adds to the -34 to get -34+x, then we divide by 6 because the set {-4,-10,-16,8,-12,x} has 6 items.

So we get the mean (-34+x)/6

Set this equal to the mean we want (3) and solve for x

(-34+x)/6 = 3

-34+x = 6*3

-34+x = 18

x = 18+34

x = 52

The set {-4,-10,-16,8,-12,x} updates to {-4,-10,-16,8,-12,52} and this set has a mean of 3.

6 0

3 years ago