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ch4aika [34]
3 years ago
6

How many solutions does this system have?

Mathematics
2 answers:
Oliga [24]3 years ago
8 0
All you have to do is solve it to know
<span>y=3-2x </span>
<span>6x=9-3(3-2x) </span>
<span>6x=9-9+6x </span>
<span>0x=0 </span>
<span>so the answer is: infinite solutions
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope that helped! </span>
anastassius [24]3 years ago
6 0
1 solution because it is parallel 
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3x-6y=6 in function notation
JulijaS [17]
Subtract 3x from both sides:

-6y = -3x + 6

divide both sides by -6 to get y by itself:

y = 1/2x - 1

function notation is rewriting y as a function:

f(x) = 1/2x -1
3 0
3 years ago
The probability distribution for the rate of return on an investment is
babymother [125]

Answer:

a)0.7

b) 10.03

c)  0.0801

Step-by-step explanation:

Rate of return   Probability

9.5                           0.1

9.8                           0.2

10                             0.3

10.2                          0.3

10.6                          0.1

a.

P(Rate of return is at least 10%)=P(R=10)+P(R=10.2)+P(R=10.6)

P(Rate of return is at least 10%)=0.3+0.3+0.1

P(Rate of return is at least 10%)=0.7

b)

Expected rate of return=E(x)=sum(x*p(x))

Rate of return(x)   Probability(p(x))    x*p(x)

9.5                           0.1                       0.95

9.8                           0.2                      1.96

10                             0.3                        3

10.2                          0.3                        3.06

10.6                          0.1                       1.06

Expected rate of return=E(x)=sum(x*p(x))

Expected rate of return=0.95+1.96+3+3.06+1.06=10.03

c)

variance of the rate of return=V(x)=sum(x^2p(x))-[sum(x*p(x))]^2

Rate of return(x)   Probability(p(x))    x*p(x)    x²*p(x)

9.5                           0.1                       0.95       9.025

9.8                           0.2                      1.96         19.208

10                             0.3                       3             30

10.2                          0.3                       3.06        31.212

10.6                          0.1                       1.06         11.236

sum[x²*p(x)]=9.025+19.208+30+31.212+11.236=100.681

variance of the rate of return=V(x)=sum(x²*p(x))-[sum(x*p(x))]²

variance of the rate of return=V(x)=100.681-(10.03)²

variance of the rate of return=V(x)=100.681-100.6009

variance of the rate of return=V(x)=0.0801

6 0
3 years ago
Determine the given point is a solution to the equation. Show all work.<br> 1) 3x-7y=4; (1,-1)
marusya05 [52]

Answer:

  NOT a solution

Step-by-step explanation:

Substitute the values of x and y and see if the equation is satisfied:

  3(1) -7(-1) = 3 +7 = 10 ≠ 4 . . . . . . the given point is not on the line

(1, -1) is not a solution to the equation.

_____

(-1, 1) is a solution

6 0
3 years ago
10 x 23 x 4 divided by 54 x 4
barxatty [35]

Answer: roughly 4.2593

Step-by-step explanation:

920/216

put the equation through a calculator

approx. 4.2593

7 0
3 years ago
Read 2 more answers
In a factory, 53 workers receive a wage of 7,576 each per month. Find the total wages received by all the workers for one financ
Olin [163]

Step-by-step explanation:

as you know, there are 12 months per year.

also, the word "annual" means "per year" (of again 12 months).

each worker gets 7,576 per month.

that means each worker gets an annual salary of

7,576 × 12 = 90,912

the salaries/wages of all 53 workers together in a year are then

90,912 × 53 = 4,818,336

8 0
3 years ago
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