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stepladder [879]
3 years ago
12

What is the solution of 3+ x-2/x-3 less than or equal to 0

Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0

Answer:

The solution set consists of all the real numbers smaller than or equal to 11/4:

x\leq \frac{11}{4}

Step-by-step explanation:

We need to solve for x (that means isolate x on one side of the inequality symbol) in the following inequality:

3+\frac{x-2}{x-3} \leq 0\\\frac{x-2}{x-3} \leq -3\\x-2\leq -3\,(x-3)\\x-2\leq -3x+9\\x+3x\leq 9+2\\4x\leq 11\\x\leq \frac{11}{4}

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I will mark brainliest if correct please answer fast I will give 10 points to the first person who answers
attashe74 [19]

Answer:

99\ in^{2}

Step-by-step explanation:

Area of any triangle could be always calculated as base length multiplied by the height perpendicular to the aforementioned base divided by 2. Therefore:

A = 18 * 11 / 2 = 198 / 2 = 99

4 0
3 years ago
9x10^7 is how many times as large as 3x10^-2
lianna [129]

Answer:

3000000000 times bigger

Step-by-step explanation:

5 0
3 years ago
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. Thi
Dovator [93]

Complete question:

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby this mention is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect so the probability of a girl is 0.5. Assume that the group consists of 36 couples.

A) Find the mean and standard deviation for the number of girls in groups of 36 births.

B) Use the range rule of thumb to find the values separating results that are significantly low and significantly high.

C) Is the result of 33 girls significantly high? A result of 33 girls would suggest the method is effective or is not effective?

Answer:

a) mean = 18

Standard deviation =3

b) low range = 12

High range = 24

c) The result of 33 girls is significantly high. Yes, the method is effective.

Step-by-step explanation:

Given:

p = 0.5

n = 36

a) The mean is the product of n and p

Mean u = np

u = 36 * 0.5 = 18

The standard deviation is the square root of the product of n and p&q.

S.d ó = \sqrt{npq}

= \sqrt{np(1-p)}

= \sqrt{36(0.5)(1-0.5)} = \sqrt{9} = 3

b) To find the range rule of thumb:

• For low range

Low range = u - 2ó

= 18 - (2 * 3)

= 12

• High range

= u + 2ó

= 18 + (2*3)

= 24

c) The result is significantly high, because 33 is greater than 24 girls.

A result of 33 girls would prove the method as effective.

8 0
3 years ago
In a race, a bicyclist travels 180 miles in 10 hours what is the unit rate in miles per hour? Question A 9 Miles per hour Questi
Svet_ta [14]
18 mph. Answer B is the correct answer
8 0
3 years ago
If you do this ill give you a bunch of points please!!!!!!!
Zarrin [17]

a)

(59, 76) and (65, 100)

y - y1 = m(x - x1)

y - 100 = (100-76)/(65 - 59)(x - 65)

y - 100 = (24/6)(x - 65)

y - 100 = 4(x - 65)

y - 100 = 4x - 260

y = 4x - 160

b)

x = 90

y = 4x - 160

y = 4(90) - 160

y = 360 - 160

y = 200

200 chirps per minute

c)

y = 120

y = 4x - 160

120 = 4x - 160

280 = 4x

x = 70

70 degrees


5 0
3 years ago
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