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miv72 [106K]
3 years ago
8

two orienteering courses are a represented on suitable axes as 3x - 2y = - 17 and 3y - 4x =24 the courses have one checkpoint in

the common. Determinate, algebraically the coordinates of this checkpoint​
Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0

3x - 2y = -17 -> 9x - 6y = -51

3y - 4x = 24 -> 6y - 8x = 48

9x - 6y = -51

6y - 8x = 48

------------------- +

x = -3

3x - 2y = -17

3(-3) - 2y = -17

-9 - 2y = -17

-2y = -8

y = 4

Coordinate : (-3, 4)

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3<br> Which expression is closest in value to 5.66?
Free_Kalibri [48]

Let's consider the standard and usually used value of irrational numbers given in the question.

  • It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

\dfrac{\pi}{2}  + \pi

Let consider π = 3.14

\dfrac{3.14}{2}  + 3.14

1.57 + 3.14

4.71 \: (approx.)

B) GiveN:

2\pi - 1

Here also, let's consider the value be 3.14

2 \times 3.14 - 1

6.28 - 1

5.28  \: (approx.)

C) GiveN:

4 \sqrt{2}

Let's consider the value of √2 be 1.414

4 \times 1.414

5.6516  \: (approx.)

D) GiveN:

8 -  \sqrt{3}

Let's consider the value of √3 be 1.732

8 - 1.732

6.268 \: (approx.)

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

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6 0
3 years ago
Let f(x)=e^x and g(x)=x-3 what are the domain and range of (f g) (x)
Brrunno [24]
The domain and range of g are "all real numbers," so you want to find the range of f when its argument is from the set "all real numbers." That range is y > 0. The appropriate choice is
  D. domain: all real numbers; range: y > 0
3 0
3 years ago
Read 2 more answers
PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50
evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

z=\frac{X-\mu}{\sigma}

For X = $3.75, the z-score is:

z=\frac{3.75-4.50}{0.50}\\z=-1.5

For X = $5.00, the z-score is:

z=\frac{5.00-4.50}{0.50}\\z=1

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

P=84.13-6.68\\P=77.45\%

The answer is alternative B.77.4%

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3 years ago
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IgorC [24]

Answer:

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