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swat32
3 years ago
5

Determine the solution set of (2x - 5)2 = 11.

Mathematics
2 answers:
zhenek [66]3 years ago
8 0
I think what you meant was

(2x - 5)² = 11 -- (1)

Square root both sides of (1), i.e.

√(2x - 5)² = ± √11 -- (2)

From (2), we have

2x - 5 = ± √11 -- (3)

By adding 5 to both sides in (3), we have

2x = 5 ± √11 -- (4)

Divide both sides of (4) by 2, and we obtain

x = (5 ± √11)/2 -- (5)

From (5), the solution set of (1) is

x = (5 + √11)/2, (5 - √11)/2 ...Ans.
Fynjy0 [20]3 years ago
3 0

Taking square root on both sides, that becomes 2x - 5 = (+/-) √11

Then:

2x = (+/-)√11 + 5

x = [5 +/- √11 ] / 2

x = 5/2 +/- (√11)/2

That is, x = 5/2 +(√11)/2 and x = 5/2 - (√11)/2

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Find the values of y = w(x) = for x = 0, 0.04, 0.09, 0.16, 0.25, 0.36, 0.49, 0.64, 0.81, 1.
Juli2301 [7.4K]
The formula would look like this
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y = w(x) = √x
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The plot graph from the given value of <span>x </span>; the corresponding  values of y are
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x                y
0               0
0.04        0.2
0.09        0.3
0.16        0.4
0.25        0.5
0.36        0.6
0.49        0.7
0.64        0.8
0.81        0.9
1.0          1.0

I hope this was helpful :)
7 0
3 years ago
4 5/2 - 4 3/2 <br><br> ANSWER WITH EXPLANATION. BRAINLIST!!!!!
MAVERICK [17]

Answer:

1

Step-by-step explanation:

First, we have to make the fractions improper.

To this we would need to multiply the denominator by the whole number and add it to the numerator. 2*4 is 8.  8 + 5 is 13. So for the first fraction, it will be 13/5. Let’s do the second fraction. 2*4 is 8. 8 + 3 is 11. So for the second fraction, it will be 11/2. Since the fractions have the same denominator, we will not have to do anything to them. Now, all you have to do is simple subtraction. 13 - 11 is 2. Since the denominators are the same, it will equal to 2. So the final answer is 2/2 or 1.

7 0
3 years ago
Can someone tell me the formula i would use for this and how to solve through?
timama [110]
Since they are congruent, cpctc,
just set the congruent parts equal to each other. 
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and
15=3y-9
3 0
3 years ago
Cual es la respuesta de 5762÷34​
juin [17]

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7 0
3 years ago
Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the
Ray Of Light [21]

Answer:

E

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

                Sample mean ( x^ ) = 12.3 mins

                Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

  • Significance Level  ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025

Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of  walking times is given below:

                      [ x^ - z-critical*s / √n  ,   x^ + z-critical*s / √n  ]

Answer:        [ 12.3 - 1.96*3.2 / √24  ,  12.3 + 1.96*3.2 / √24  ]

                   

3 0
3 years ago
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