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Rudiy27
3 years ago
15

X^2-3=5x simplify this

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0
To simplify x^2-3 =5x

You would first subtract 5x from both sides

X^3-5x-3

Next you would plug this into the quadratic equation:

X=5+/- the square root of: -5^2 -4(1)(-3)/2(1)

Then simplify,
5+/- the squareroot of 24 + 12 / 2

5+/- The squareroot of 36 /2

5+/- 6 / 2

Then solve if it’s an addition or subtract

5+6/2

X=11/2 or 5 1/2

5-6/2

X= -1/2

The answer is x=-1/2 or x=11/2

Hope this helps

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Simplify (2 x 10^3) (4 x 10^-5)
Vlad [161]

the answer to this problem is 2/25. I got this by simplifying both exponents which changes the equation to (2)(1000)(4)(1/100000). Then you multiply the other numbers by its simplified exponent and makes the equation 2000(1/25000). The last step is to multiply those two and you get your answer, 2/25(simplified version)   :)

8 0
3 years ago
If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find t
patriot [66]

Answer:

15th term = 116

Step-by-step explanation:

a= 4

Sum of an A.P = n/2 {2a + (n-1)d}

sum of first five term is equal to one-fourth of the sum of the next five term

5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d

5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}

40/2 + 20/2d = 1/4{ 40 + 45d)

20 + 10d= 40/4 + 45/4d

20 + 10d = 10 + 45/4d

20 - 10 = 45/4d - 10d

10 =45d - 40d /4

10 = 5/4d

Divide both sides by 5/4

10 ÷5/4 = d

10×4/5 = d

40/5 = d

8 = d

d= 8

Find the 15th term

15th term = a + (n-1)d

= 4 + (15-1)8

= 4 + (14)8

= 4 + 112

= 116

The 15th term is 116

5 0
3 years ago
The total cost is y = 150 + 55x. Which Statement represents the meaning part of the function
kaheart [24]

Answer:

You started with 150.

5 0
3 years ago
Roger decides to buy a new printer. He wants a printer which prints the most pages per minute (ppm). Printer A can print up to
trasher [3.6K]

Answer:

That's alot of words its kinda hard to understand

5 0
3 years ago
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What
Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = <u><em>heights of 18-year-old men.</em></u>

So, X ~ Normal(\mu=68,\sigma^{2} =3^{2})

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean height = 68 inches

           \sigma = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

       P(X > 65 inches) = P( \frac{X-\mu}{\sigma} > \frac{65-68}{3} ) = P(Z > -1) = P(Z < 1)

                                                                = <u>0.8413</u>

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

6 0
3 years ago
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