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2 years ago

HELP ASAP

Mathematics

1 answer:

denis-greek [22]2 years ago

7 0

A) I included a graph, look below.

B)

Input the y in x = y + 3.

x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0

Input that x value in y = -4x - 3

y = -4(0) - 3
y = 0 - 3
y = -3

(0, -3)

C)

Convert both equations to Standard Form.

x = y + 3
Subtract y from both sides.
x - y = 3

y = -4x - 3
Add 4x to both sides.
4x + y = -3

Add the equations together.

4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0

Input that into one of the original equations.

0 = y + 3
Subtract 3 from both sides.
-3 = y

(0, -3)

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2 years ago

Three assembly lines Alpha, Beta, and Gamma make the same power transistor. Each of the assembly lines has its own level of effi

vova2212 [387]

Answer:

P [ β / Def] = 0,6521 or 65,21 %

Step-by-step explanation:

Tree diagram:

0,20 (α) Defective 0,02

0,50 (β) defective 0,06

0,30 (γ) defective 0,04

According to Baye´s Theorem

P [ A/B] = P[A] * P [ B/A] / P[B]

if we call

β = A and Defective = B then P[β] = P[A] and P[Defective] = P[B]

we get :

P [ β / Def] = P[β] * P [ def./β] / P[def]

Then

P[β] = 0,5

P[def/β] = 0,06

P [Defective] = 0,02* 0,2 + 0,06*0,5 + 0,04*0,3

P [Defective] = 0,004 + 0,03 + 0,012

P [Defective] = 0,046

P [ β / Def] = 0,5 * 0,06 / 0,046

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3 years ago

Is 1/8<-1/2 a solution or no?

miv72 [106K]

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3 years ago

The wheels on jason's dirt bike messure 19 inches in diameter. How many revolutions will the wheels make when jason rides for 50

PSYCHO15rus [73]

<h3>Answer: 101 revolutions</h3>

========================================================

Explanation:

C = circumference

C = pi*d

C = 3.14*19

C = 59.66

The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.

Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x

59.66x = 6000

x = 6000/59.66

x = 100.569896077774

x = 101

After 101 revolutions, Jason has traveled about 500 ft.

Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.

And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.

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