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3 years ago

9. Solve for x: 2x – y = (3/4)x + 6.

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

Answer:

x = 4(y + 6)/5

Step-by-step explanation:

2x - y = (3/4)x + 6

2x - (3/4)x = y + 6

(8x - 3x)/4 = y + 6

5x/4 = y + 6

5x = 4(y + 6)

5x = 4y + 24

x = (4y + 24)/5

Therefore, x = 4(y + 6)/5

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3 0

3 years ago

How do I solve this please help!

mr Goodwill [35]

Answer:

9 x + 8 y = 10 (I)

y = -4x + 7 (II)

One way is to rewrite the second as

4x + y = 7

Now multiply this equation by 8

32 x + 8 y = 56

9 x + 8 y = 10 and now subtract the equations

23 x = 46 this gives x as 2

From equation (II) y = -4 (2) + 7 = -1

So our values are (2, -1)

Check:

(I) 9 x + 8 y = 10 9 * 2 - 8 = 10

(II) 4 x + y = 7 or 4 * 2 - 1 = 7

Or you can substitute equation (II) directly into equation (I)

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2 years ago

Need help plz help help help

olga55 [171]

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5 0

2 years ago

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume th

Usimov [2.4K]

Answer:

a) $f(x) = \frac{1}{25.9}$

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{x - a}{b - a}$

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

The probability density function of the uniform distribution is:

$f(x) = \frac{1}{b-a}$

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that $a = 284.7, b = 310.6$ .

a. Give a mathematical expression for the probability density function of driving distance.

$f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}$

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

$P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046$

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

3 0

2 years ago

Graph the line: y=2/3x-4

Likurg_2 [28]

Graph the line using the slope and y-intercept, or two points.
Slope:
2
3
2
3
y-intercept:
(
0
,
−
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)
(
0
,
-
4
)
x
y
0
−
4
3
−
2

5 0

2 years ago

Read 2 more answers

9. Solve for x: 2x – y = (3/4)x + 6.​

9. Solve for x: 2x – y = (3/4)x + 6.