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devlian [24]
3 years ago
15

Find the number of solutions of -x^2 + 5x - 4 = 0.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer:

There are 2 solutions for the equation -x^2 + 5x - 4 = 0 i.e x=1 and x=4

Step-by-step explanation:

We can find the number of solutions of the given equation -x^2 + 5x - 4 = 0 by solving the equation using factors method to solve the quadratic equation.

-x^2 + 5x - 4 = 0\\Taking\,\, - sign\,\, common\\x^2 - 5x + 4 = 0\\making\,\, factors\,\, of\,\, 4x^2\\x^2 -4x -x +4 = 0\\x(x -4) -1 (x - 4) = 0\\(x-1)(x-4)=0\\x-1 = 0 \,\, and \,\, x-4 =0\\x = 1 \,\,and\,\, x = 4\\

The values of x are:

x=1 and x=4

So, there are 2 solutions for the given equation -x^2 + 5x - 4 = 0

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kkurt [141]

The answer is either c or d. I would go with answer c though. sorry if it is wrong

5 0
3 years ago
The first part of a trip driving at 40 mph was 15 miles longer and took 30 minutes longer than the second part of the trip drivi
kenny6666 [7]

Answer:

65 miles

Step-by-step explanation:

There are two simultaneous equations . Remeber that v=d/t, 1hour = 60 minutes.

1. 40 = (d+15)/(t+0.5)

2. 50 = d/t

solving: d= 25 miles and t=0.5 hours.

The distance traveled is:

D=d+d+15

D=65 miles

5 0
3 years ago
Read 2 more answers
Factor the expression.
tiny-mole [99]
B. (k+10f)(k-5f) you can tell in 2 ways.  1. if the second sign is neg then the signs in the factors are going to be one neg and one positive so that knocks out C and D.  Then you look at the second term and since the 5 is positive then the 10 has to be positive so you end up with a positive 5kf.

The second way is to FOIL them out.  When you check B you get k^{2} -5kf+10kf- 50f^{2} combine your like terms and you have your original expression of k^{2} +5kf-50 f^{2}

Hope that helps
3 0
3 years ago
PLS HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
kupik [55]

The correct answers are:

1. 35

2. B.) Rational

3. -88/3 or as a decimal, 29.3 repeating

4. 226.981

5. -6

Hope This Helps!!!

Can I have Brainliest?

5 0
3 years ago
1) Which of the following is a surd ? a) 64 b) 6 root 64 c) 4 root 64 d) 3 root 64
Mashcka [7]

Answer:

  \text{c) }\sqrt[4]{64}=2\sqrt[4]{4}

Step-by-step explanation:

\text{a) }64\qquad\text{an integer; not a surd}\\\\\text{b) }\sqrt[6]{64}=2\qquad\text{an integer; not a surd}\\\\\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}\qquad\textbf{a surd}\\\\\text{d) }\sqrt[3]{64}=4\qquad\text{an integer; not a surd}

5 0
3 years ago
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