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Degger [83]
3 years ago
5

What is the solution to the following system of equations

Mathematics
1 answer:
padilas [110]3 years ago
5 0

There can be zero solutions, 1 solution or infinite solutions

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If x-1/x=5 find x^3+1/x^3=?
ipn [44]

\dfrac{x-1}{x}=5\ \ \ \ /x\neq0\\\\\dfrac{x-1}{x}=\dfrac{5}{1}\ \ \ \ |\text{cross multiply}\\\\5x=x-1\ \ \ \ |-x\\\\5x=1\ \ \ \ |:5\\\\x=0.2\\\\\dfrac{x^3+1}{x^3}=\dfrac{x^3}{x^3}+\dfrac{1}{x^3}=1+\dfrac{1}{x^3}\to1+\dfrac{1}{0.2^3}=1+\dfrac{1}{0.008}\\\\=1+\dfrac{1}{\frac{8}{1,000}}=1+\dfrac{1,000}{8}=1+125=126\\\\\text{Answer:}\ \dfrac{x^3+1}{x^3}=126

5 0
3 years ago
Read 2 more answers
If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
eimsori [14]
<h3>Answer:   -13</h3>

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

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

m = (y2-y1)/(x2-x1)

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

m = -6/4

m = -3/2

m = -1.5

The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

2 = 4.5 + b

2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

b = -2.5

Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5

The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

6 0
3 years ago
Read 2 more answers
For the following questions find the other half of the fraction.
valentina_108 [34]

Answer:

<em>1</em><em>)</em><em> </em><em>3</em><em>/</em><em>5</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>0</em>

<em>2</em><em>)</em><em> </em><em>3</em><em>/</em><em>6</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>2</em>

<em>3</em><em>)</em><em> </em><em>4</em><em>/</em><em>1</em><em>0</em><em>=</em><em> </em><em>2</em><em>/</em><em>5</em>

<em>4</em><em>)</em><em> </em><em>3</em><em>/</em><em>4</em><em>=</em><em> </em><em>6</em><em>/</em><em>8</em>

<em>5</em><em>)</em><em> </em><em>5</em><em>/</em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em>

<em>6</em><em>)</em><em> </em><em>4</em><em>/</em><em>6</em><em>=</em><em> </em><em>8</em><em>/</em><em>1</em><em>2</em>

<em>7</em><em>)</em><em> </em><em>5</em><em>/</em><em>5</em><em>=</em><em> </em><em>1</em><em>0</em><em>/</em><em>1</em><em>0</em>

<em>8</em><em>)</em><em> </em><em>1</em><em>/</em><em>2</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>2</em>

4 0
2 years ago
At 88°F, a certain insect chirps at a rate of 64 times per minute, and at 97°F, they chirp 118 times per minute. Write an equati
Allushta [10]

Let " x "  denotes the temperature in degree Fahrenheit .

Let  " y " denotes the chirp rate per minute .

We have given that at 88 degree Fahrenheit , chirp rate is 64 times per minute and at 97 degree Fahrenheit , it is 118 times per minute .

We write this information in coordinate form ( x,y) .

We have ( x₁ ,y₁)  = ( 88 , 64 )  and  ( x₂ , y₂) = ( 97,118) .

                         y₂   - y ₁                     118  -   64                  54

Slope , m  =  ----------------------  =    ---------------------  =     -----------

                          x₂  - x₁                        97   -  88                   9

           Slope , m =  6 .


Equation of line in slope intercept form is

y = m x + b  where  ' m' is slope and ' b ' is intercept .

Plug value of m  , we get

y = 6 x + b .

To find value of b , we put ( 88 , 64 ) in place of x and y .

Put x = 88 and y = 64 , we get

64 = 6 * 88 + b

64  = 528 + b

64 - 528 =  b

- 464 = b

Thus we get b = - 464 .

So the equation become

y = 6 x - 464 .

Equation in slope intercept form representing the situation is

y = 6 x - 464 .

6 0
3 years ago
What is 3=7(4 - 2u)-6u
alisha [4.7K]

Answer:

u = 5/4

Step-by-step explanation:

to evaluate for the value of u we would simply open the bracket and then evaluate for the value of u by collecting the like terms together.

solution

3=7(4 - 2u)-6u

3 = 28- 14u - 6u

collect the like terms

3 + 14u + 6u = 28

20u = 28 - 3

20u = 25

divide both sides by the coefficient of u which is 20

20u/20 = 25/20

u = 5/4

5 0
3 years ago
Read 2 more answers
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