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dybincka [34]
2 years ago
9

Wrong answers will be reported ​

Mathematics
1 answer:
PIT_PIT [208]2 years ago
5 0

The solution to the equation is p = 1/3 and q = undefined

<h3>How to solve the equation?</h3>

The equation is given as:

p^2 - 2qp + 1/q = (p - 1/3)

The best way to solve the above equation is by the use of a graphing calculator i.e. graphically

However, it can be solved algebraically too (to some extent)

Recall that the equation is given as:

p^2 - 2qp + 1/q = (p - 1/3)

Split the equation

So, we have

p^2 - 2qp + 1/q = 0

p - 1/3 = 0

Solve for p in p - 1/3 = 0

p = 1/3

Substitute p = 1/3  in p^2 - 2qp + 1/q = 0

So, we have

(1/3)^2 - 2q(1/3) + 1/q = 0

This gives

1/9 - 2/3q + 1/q = 0

This gives

2/3q + 1/q = -1/9

Multiply though by q

So, we have

2/3q^2 + 1 = -1/9q

Multiply through by 9

6q^2 + 9 = -q

So, we have

6q^2 + q + 9 = 0

Using the graphing calculator, we have

q = undefined

Hence. the solution to the equation is p = 1/3 and q = undefined

Read more about equations at:

brainly.com/question/13763238

#SPJ1

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If f(x)= 3x-1 and g(x)=2x-3, for which value of x does g(x)= f(2)
gregori [183]

Answer:

g(4)=f(2)

Step-by-step explanation:

f(2)=3(2)-1

f(2)=6-1

f(2)=5


We then get:

g(x)=f(2)

subsitute 5 for f(2)

g(x)=5

now solve

5=2x-3

add 3

8=2x

divide 2

4=x

so the answer is x=4 or  

g(4)=f(2)

7 0
3 years ago
An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of
Liula [17]

Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0
2 years ago
Please help i have an assignment due TODAY i need to get this done
wel

Answer:

r = 50 degrees.

Step-by-step explanation:

r = 50 degrees ( vertical angles are congruent).

3 0
2 years ago
Read 2 more answers
Suppose y varies inversely with x, and y = 25 when x = 1/5. What is the value of y when x = 5 ?
34kurt

Answer:

y = 1

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 25 when x = \frac{1}{5} , then

25 = \frac{k}{\frac{1}{5} } = 5k ( divide both sides by 5 )

5 = k

y = \frac{5}{x} ← equation of variation

When x = 5, then

y = \frac{5}{5} = 1

8 0
3 years ago
How do you divide 40 in the ratio 3:5 ?
zalisa [80]

Answer:

15:25

Step-by-step explanation:

7 0
3 years ago
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