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katrin [286]
3 years ago
14

3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x?

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0
1.Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. 

<span>(4/x) + [4/(x^2 - 9)] = 3/(x - 3) </span>

<span>LCD: x(x + 3)(x - 3) </span>

<span>4(x + 3)(x - 3) + 4x = 3(x)(x + 3) </span>

<span>4(x^2 - 9) + 4x = 3x^2 + 9x </span>

<span>4x^2 - 36 + 4x = 3x^2 + 9x </span>
<span>x^2 - 5x - 36 = 0 </span>
<span>(x - 9)(x + 4) = 0 </span>
<span>x = 9 or x = - 4 </span>
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PLEASE HELP...........
shtirl [24]

Answer:

increases

decreases but stays above 0.

Step-by-step explanation:

Increases without bound. You are going left which means that x is getting smaller and smaller (large negatives are very small).

As x increases without bounds, f(x) approaches 0 but does not go minus.

5 0
3 years ago
Can someone please help, answer with steps.
julsineya [31]

Your Answer Is C) III Only.

A temperature increase of 5/9 degrees Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

One way we could check is by multiplying (f -32) by five degrees.

( f - 32 ) = 31

9 / 5 = 1.8

31 * 1.8 = 55.8

55.8 / 14^2 = 0.28

Now, let's check,

0.28 / 1.8 = 0.504

0.504 * 28.1232 = 55.8

Or it could be solved by keeping on adding. (That would be easier but I prefer multiplying.)

- Please Mark Brainliest, This Took me a while. :v

8 0
2 years ago
Angela has 3 more dollars than half of sabrina's money. If Angela has 206 dollars, how much does Sabrina have? Define your varie
yan [13]
A=3+(s/2)
a=206

206=3+(s/2)
minus 3 both sides
203=s/2
times 2/1 both sides
406=s

sabrina=406
to check

206=3+(406/2)
206=3+(203)
206=206
true
8 0
4 years ago
If (x-10) is a factor of the polynomial P(x), which of the following do we know to be true?
Anon25 [30]

Answer:

Option 3, p(0) = -10

Option 4, p(10) = 0

Step-by-step explanation:

<u>Step 1:  Check</u>

x - 10 + 10 = 0 + 10

<em>x = 10</em>

f(0) = 0 - 10 = -10

x = -10

<em>p(10) = 0</em>

Answer:  Option 3, p(0) = -10, Option 4, p(10) = 0

4 0
3 years ago
Read 2 more answers
Geometry question I need help with it
Snowcat [4.5K]

Answer:

True, False, False, False

Step-by-step explanation:

I'll find the lengths of all sides of the drawing before answering individual answers so that it's less confusing.

1) The question says that QR is a perpendicular bisector of TS. This means that the length of TQ and QS is the same. Also, since both triangles TRQ and SRQ share the same side RQ, and the angle between the two segments is 90 degrees, the two triangles are congruent (RTQ and RSQ) using SAS.

2) Side RT and TS will have the same length since the two triangles are congruent. (2x+1) = (4x-3) --> -2x = -4 --> x = 2. We can conclude that x = 2.

3) Now that we know that x = 2, we can find the length of side RS by replacing the x with 2. 4(2)-3 is 5, so RS = 5.

4) We can use the Pythagorean theorem to find RQ (Hypotenuse^2 = Other two sides added after being squared individually). Since the hypotenuse of triangle RSQ is RS which is 5, and one side is 4, we can input those into our equation. (5)^2 = (4)^2 + (RQ)^2. --> 25 = 16 + (RQ)^2 --> 9 = (RQ)^2 --> RQ = 3.

5) Since the two triangles RTQ and RSQ are congruent, side TQ and SQ also have the same length, since CPCTC (Corresponding parts of congruent triangles are congruent). QS is 4, so TQ will also be 4. This means that ST will be 8 (4+4). ST = 8

Now that we have all the clues, all we need to do is choose True or False.

RS = 5 is TRUE

RS = 4 is FALSE

ST = 10 is FALSE

QR = 4 is FALSE

6 0
2 years ago
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