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nlexa [21]
3 years ago
9

Input divided by two plus one is the output

Mathematics
1 answer:
Naily [24]3 years ago
3 0
The equation to this problem would be y = x/2 + 1
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Solve for x: |3x + 12|= 18 (5 points)
VashaNatasha [74]

Answer:

1)x = 2, x =-10

Step-by-step explanation:

3x + 12 = 18 or -18

if 3x + 12 = 18 ➡ 3x = 18 - 12 ➡ x = 2

if 3x + 12 = -18 ➡ 3x =-18 - 12 ➡ x = -10

8 0
3 years ago
A man drives from home at 10.45 to the airport which is 325 km away.He travels at an average speed of 50km/h. a) Find his arriva
marshall27 [118]
<h2>☸ <u>Solution</u><u>:</u></h2>

We have,

  • Departing time = 10 : 45 hours
  • Distance between home and airport = 325 km
  • Average speed = 50 km/h

Finding time taken by the man,

⇛ Average speed = Total Distance/Total time

⇛ Total time = Total Distance/Average speed.

⇛ Total time = 325 km/50 km/h

⇛ Total time = 6.5 h (6 hrs 30 mins)

(a) Total Time duration,

⇛ Total Time = Reaching Time - Departing time

⇛ 6.5 h = Reaching Time - 10 : 45 hours

⇛ Reaching Time = 17 : 15 hours ( 5 : 15 pm)

(b) Finding time taken in return,

  • Departing time = 18 : 35 hours
  • Reaching time = 23 : 10 hours

Total time duration,

⇛ Total Time = Reaching Time - Departing time

⇛ Total Time = 23 : 10 hours - 18 : 35 hours

⇛ Total Time = 22 : 70 hours - 18 : 35 hours

⇛ Total time = 4 : 35 hours

☕ Hence, solved !!

<u>━━━━━━━━━━━━━━━━━━━━</u>

7 0
3 years ago
What belongs in the box marked with the question mark in the proof?
IgorLugansk [536]

Start with the given 4x + 1 = 6x - 2.

Combining like terms, we get 3 = 2x, from which we later get x = 3/2.

Where the question mark appears, write, "Reverse the order of 3/2 = x to obtain x = 3/2."

8 0
3 years ago
In Prof. Leahy's class, if a student does homework most days, the chance of passing the course is 90%. On the other hand, if a s
34kurt

Answer:

a) p(the student did not do homework and he/she passed the course) = 0.09

b) p(the student did not do homework given that she/he passed the course) = 0.125.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

a. p(the student did not do homework and he/she passed the course)

If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.

So

0.3*0.3 = 0.09

p(the student did not do homework and he/she passed the course) = 0.09

b. p(the student did not do homework given that she/he passed the course)

Conditional probability.

Event A: Passed the course

Event B: Did not do homework.

p(the student did not do homework and he/she passed the course) = 0.09

This means that P(A \cap B) = 0.09

Probability that the student passes the course:

90% of 70%(do homework)

30% of 30%(do not do homework).

This means that:

P(A) = 0.9*0.7 + 0.3*0.3 = 0.72

p(the student did not do homework given that she/he passed the course)

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125

So

p(the student did not do homework given that she/he passed the course) = 0.125.

4 0
3 years ago
WILL GIVE BRAINLEST<br> pllzzzz help its due today
Vaselesa [24]

Answer:

Number line 2 shows -6 and its opposite.

Step-by-step explanation:

The opposite of -6 is 6 so all you have to do is find the number line that shows -6 and 6. Hope this helps! Have a great day!

7 0
3 years ago
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