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Dmitry [639]
2 years ago
8

3(4x + 2) +2(x-1) please help me with this equation

Mathematics
2 answers:
charle [14.2K]2 years ago
4 0

Answer:

1) Multiply and expand the brackets:

12x + 6 + 2x - 2

2) Combine like terms (combine terms that have an x together, and those that don't together.)

14x + 4

If the question wanted you to simplify the expression, then <u>14x + 4</u> is your answer. However, to solve for x, you could equate the expression to 0, but I'm not too sure of this part.

14x + 4 = 0

14x = - 4

x = - 4/14

x = - 2/7

notsponge [240]2 years ago
3 0

Answer:

14x + 4

Step-by-step explanation:

3(4x+2) + 2(x-1)

Distribute by multiplying into the bracket

=12x + 6 + 2x - 2

Group like terms by adding and subtracting

= 14x + 4

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A ball is chosen at random from a bag containing 150 balls that are either red or blue and either dull or shiny. There are 36 re
tino4ka555 [31]

Answer:

The probability of the chosen ball being shiny conditional on it being red is; 0.375

Step-by-step explanation:

Let A be the event that a red ball has been chosen

Let B be the event that a shiny ball has been chosen

Let S be the total outcomes = 150 balls

Thus;

P(A ∩ B ) = 36/150

A ∩ B' = 150 - 36 - 54

A ∩ B' = 60

Thus; P(A ∩ B') = 60/150

P(A') = 54/150

P(A) = (150 - 54)/150 = 96/150

Thus, probability of the chosen ball being shiny conditional on it being red is;

P(B | A) = P(B ∩ A)/P(A)

Thus; P(B | A) = (36/150)/(96/150)

P(B | A) = 0.375

8 0
2 years ago
Help vvvvvvvvvvvvvvvvvvv
kvv77 [185]
I think C would be it
3 0
3 years ago
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90​% of all males.​ (Accommodating 100
gladu [14]

Answer:

  16.053 inches

Step-by-step explanation:

Many such probability questions are easily answered by a suitable calculator or spreadsheet.

4 0
3 years ago
A manufacturer of skis produces two types: downhill and cross country. The times required for manufacturing and finishing each s
pogonyaev

Answer:

So to maximize profit 24 downhill and 20 cross country shouldbe produced

Step-by-step explanation:

Let X be the number of downhill skis and Y the number of cross country skis.

Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours

Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.

Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90

total finishing time taken = 0.5x+1.5 y≤42

Profit function

Z = 50x+50y

Objective is to maximize Z

Solving the two equations we get intersecting point is

(x,y) = (24,20)

In the feasible region corner points are (0.28) (36,0)

Profit for these points are

i) 2200 for (24,20)

ii) 1400 for (0,28)

iii) 1800 for (36,0)

So to maximize profit 24 downhill and 20 cross country shouldbe produced.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x-24%3D0" id="TexFormula1" title="x^{2} +2x-24=0" alt="x^{2} +2x-24=0" align
denpristay [2]
I used the quadratic formula and got x= 4, -6
8 0
3 years ago
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