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Ierofanga [76]
3 years ago
11

What does 4/x+5 + 2x/x^2-25 equal?

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0
Solve for x over the real numbers:
6/x - 20 = 0
Bring 6/x - 20 together using the common denominator x:
-(2 (10 x - 3))/x = 0
Divide both sides by -2:
(10 x - 3)/x = 0
Multiply both sides by x:
10 x - 3 = 0
Add 3 to both sides:
10 x = 3
Divide both sides by 10:
Answer:  x = 3/10
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What is the slope of the linear graph in simplest form ?
Nady [450]

Answer:

2/1

Step-by-step explanation:

Slope = 2

up 2, right 1

rise over run

7 0
3 years ago
Read 2 more answers
What is a peregrine falcon's maximum speed while diving to catch prey,
Sergeu [11.5K]

This is an incomplete question, here is a complete question.

What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1  mile = 5280 feet)

Answer : The speed in feet per second is, 293 feet/s

Step-by-step explanation :

As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we  have to determine the speed in feet per second.

As we know that:

1  mile = 5280 feet

1 hour = 3600 second

So,

1 mile/hr = 1.4667 feet/s

As, 1 mile/hr = 1.4667 feet/s

So, 200 mile/hr = \frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}

                          = 293.34 feet/s ≈ 293 feet/s

Therefore, the speed in feet per second is, 293 feet/s

5 0
3 years ago
A recursive rule for a sequence is given. Find the first four terms of the sequence.
tigry1 [53]

Answer:  

So...

   a0 = -2

   a1 = (a0)2 - 4  =  4 - 4  =  0

   a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...=  02 - 4  = -4  

       For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again

   a3 = (-4)2 - 4 = 12

 

The first four terms in the sequence are -2, 0, -4, 12.

Step-by-step explanation:

This recursive sequence is defined as follows:

 a0 = -2      [the first term]

 an+1 = an2 - 4     [for all other terms, n≥0; note that you cannot find a0 using this line]

 

Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term.  Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0.  This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).

 

To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.

 

That's why (joke) that the dictionary definition of "recursive" is "see recursive."

4 0
2 years ago
Simplify, write without absolute value sign<br><br> | x+3 |, if x &gt; 5
12345 [234]

Answer:

x + 3

Step-by-step explanation:

6 0
2 years ago
Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.
suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
2 years ago
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