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ollegr [7]
3 years ago
11

Find the exact solutions to 2x^2=5x-1 by using the quadratic formula

Mathematics
2 answers:
Luda [366]3 years ago
3 0

Solve the equation for  x  by finding  a ,  b , and  c of the quadratic then applying the quadratic formula

Exact form:

x =  5 ± √ 17

     4

Decimal:

x =  2.28077640 … , 0.21922359

sorry idk how to put a fraction in

klio [65]3 years ago
3 0

Answer:

The exact solution is (5 ± √17) / 4.

Step-by-step explanation:

2x^2 = 5x-1

2x^2 - 5x + 1 = 0

then,

a = 2, b = -5, c = 1

Now, by using quadratic formula,

(-b±√(b²-4ac)) / (2a)

(5 ± √(-5)^2 - 4(2)(1)) / 2×(2)

(5 ± √17) / 4.

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Dy/dx ln(xy)=e^(x+y)
Westkost [7]
In(xy) = e^(x+y)

(xy)'/xy  = (x+y)' e^(x+y)

(x'y + xy')/xy = (1+y') e^(x+y)

(y + xy')/xy = (1+y')e^(x+y) and simplify

Hope this helps
4 0
3 years ago
Rita get paid $16 per hour for the first 8 hour she works each day.She earned 1and 1/2 times her hourly pay rate for the first t
djyliett [7]

Answer:

Rita's pay for Monday is $158.

Step-by-step explanation:

Rita's hourly pay for an 8-hour shift she works everyday is, $16.

If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.

That is, if she works (8 + <em>x</em>) hours a day then the pay for the <em>x</em> hour is, 1.5<em>x</em>.

Rita's working hours on Monday is:

  • Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.
  • 45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
  • Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes

It is provided that Rita does not get paid for lunch hour.

Rita's pay for Monday is computed as follows:

= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)

= (4 hours 30 minutes) + (4 hours 30 minutes)

= (4 + 4) hours + (30 + 45) minutes

= (8 × 16) + (75 minutes × 16 × 1.5)

= 128 + (1.25 hours × 24)

= 128 + 30

= 158

Thus, Rita's pay for Monday is $158.

3 0
3 years ago
The ratio of boys to girls in the
9966 [12]

Answer:

Answer : 52 girls

Step-by-step explanation:

Your ratio of boys to girls is 3:4

Set up a fractional proportion and cross multiply

3/4 = 39/x

cross multiply

3x = 4(39)

3x = 156

x = 156/3

x = 52 girls

Hope this was helpful!❤

5 0
3 years ago
Work out giving your answer in its simpliest form 2/3 × 3 3/5<br>help asap I will give brainlist
Anna11 [10]

Answer:

2 2/5  or 12/5

Step-by-step explanation:

Hope this helps :)

5 0
3 years ago
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