In the given figure, PQ 11 RS, find the value of x. ​

Answer:

x=1.69 or x=-0.44

Step-by-step explanation:

1) multiply both sides by 4x-5 to give 3=x(4x-5)

expand this ------>3=4x^2 - 5x

2) bring the 3 on the other side by subtracting 3

4x^2 - 5x - 3 = 0

3)use quadratic formula where a is 4, b is -5 and c is -3

[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]

[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]

The value of x in the equation 3 / 4x - 5 = x is -20.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

3 / 4x - 5 = x

Solve the above equation as shown below,

x = 3 / 4x - 5

x - 3 / 4 x = -5   (Transform the variable on the left side and constant on the right side)

4x - 3x / 4 = -5

x / 4 = -5

x = 4 × (-5)

x = -20

Thus, the value of x is -20.

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Answer:

Pentagon (the 5 sided shape) = 1

Cross-looking shape = 6

Star = 8

Square/Rectangle = 5

Hope this helps!

Answer:

can u take pic again?

Step-by-step explanation:

Answer:

4.4 < x < 18.8

Step-by-step explanation:

11.6 - 7.2 = 4.4

11.6 + 7.2 =18.8

Answer:

b=2

Step-by-step explanation:

Answer:

_

6.1

Step-by-step explanation:

_

11/3 * 5/3 = 11·5/3·3 = 55/9 = 6.1

Answer:

Step-by-step explanation:

A. What is the ratio of songs by the group from Michigan to the number of songs played?  3/15

B. In lowest terms, 3/15 is 1/5.

C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?  To answer this, multiply the 1-hour unit rate by 3:  3*3 = 9 Michigan group songs over the next 3 hours.

Step-by-step explanation:

remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.

so, the given domain tells us the interval to look at.

what are the functional values of the function between 0 and 50 ?

since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.

f(0) = 4×0 + 5 = 5

f(50) = 4×50 + 5 = 205

so, the range is 5 <= y <= 205

Answer:

...

Step-by-step explanation:

Answer:

2 months

Step-by-step explanation:

To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.

When solved, x=2. This means that after 2 months the cost of each will be the same.

Answer:

1. = 3xy + x - 2y - 4

2. = d^2(2c^3-8c^2d+3d^2)

Step-by-step explanation:

= 9x^2y^2 + 3x^2y - 6xy^2 - 12xy/3xy

First factor the top equation ….

= 3xy(3xy + x - 2y - 4)/3xy

If the top and the bottom both carry 3xy, you can cancel out both of them leaving you with ….

= 3xy + x - 2y - 4

= -16c^6d^6 + 64c^5d^7 - 24c^3d^8/-8c^3d^4

First factor the top equation ....

= -8c^3d^6(2c^3-8c^2d+3d^2)/-8c^3d^4

If the top and the bottom both carry -8c^3 you can cancel out both of them leaving you with ….

= d^6(2c^3-8c^2d+3d^2)/d^4

Apply the exponent rule with d^6 ....

= d^4d^2(2c^3-8c^2d+3d^2)/d^4

cancel out d^4 ....

= d^2(2c^3-8c^2d+3d^2)

Answer: 18 fliers

Step-by-step explanation:

1/3 of 63 is 21.  Thus, the remaining fliers are 42.

4/7 of 42 is 24.  Thus, the remaining fliers are now 18.

Hope it helps :)

Answer:

a) 27 - 8= 19 pages of stamps

b) 16 × 3 = 48 DVDs

c) 35km - 19km = 16km

Answer:

y ≥ -0.5

Step-by-step explanation:

First, we can substitute 4 in for x in the inequality.

4 - 2y ≤ 5

Now, to solve for y, we start by subtracting 4 from both sides:

-2y ≤ 1

And divide by -2.  When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign.  This gives us:

y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5

Therefore, the possible values of y are -0.5 or greater.

It is 80%

8 divied by 10 is 0.8. Which is 80%

Answer:

8 out of 10 is the same thing as saying [tex]\frac{8}{10}[/tex] so it would be 80%

Step-by-step explanation:

8 ÷ 10 = 0.8 = 80%

Answer:

Step-by-step explanation:

Time in travel:

Average speed is 5 mph

Distance travelled:

Correct choice is A

Total time taken

Distance

Option A

Answer:

[tex]12 + 12 + 12 = 36 \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]

Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]

At the alternative hypothesis, we test if the difference is more than 3, that is:

[tex]H_1: \mu_1 - \mu_2 > 3[/tex]

The mean and the standard deviation for both tests are:

[tex]\mu_1 = 366, s_1 = 11.67[/tex]

[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]

The standard errors are:

[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]

[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.

It's value is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{8.6 - 3}{3.2147}[/tex]

[tex]t = 1.742[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]

Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

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Answer:

what do you mean by x?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-8z - 5.5 + 1.5z + 3y - 2.5

-6.5z + 3y - 8

Answer:

its 3 and 5

Step-by-step explanation:

i know this because i took the quiz and its simple

Answer:

2 years

Step-by-step explanation:

casue if you multilpy 2 x 11,500 you get 23,000

Answer:

ci = [271,953 , 559,953]

Step-by-step explanation:

x = mean: $415953

z = 95% : z value of 95% is 1.960

s = standard deviation = $463364

n = number of observations: 40

X +- Z * S/sqrt N

415953 + - 1.96 * 463364/sqrt40

= 415953 + - 144000

[271,953 , 559,953]

Answer:

$272,355 <μ< $559,551

Step-by-step explanation:

Gradpoint

Answer:

For starters how much does it cost to rent out the shoes

2nd of all how much does it cost too play each game ??

Step-by-step explanation:

ill answer just gimme the info pls

Answer:

15 in i am guessing

Step-by-step explanation:

i need to know the height of the can first

The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.

A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.

Given that, the input and the output variables in this problem are as follows:

Input variable: Actual height = 80 in

Output variable: Height on set = 44 in

k = 44/80

k = 0.55.

Therefore, the equation is:

y = 0.55x.

Then the height on the set when the actual height is of 7 inches is given by:

y = 0.55(7) = 3.85 inches.

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Answer:

use the Microsoft world language to define noun phrases and figure of speech

Answer:

approx 161.3 square units

Step-by-step explanation:

the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7

these four triangles would produce a square with sides of 12.7 units

so area would be 12.7² or approx 161.3 square units

Answer:

2 exponent 5 = 32

5 exponent 3 = 125

2 - exponent 4 = 1/16

5 - exponent 2 = 1/25

Step-by-step explanation:

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml