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Alja [10]
2 years ago
12

How many solutions does the following system have? y= 5x + 8 y = 5x + 3

Mathematics
1 answer:
NARA [144]2 years ago
4 0

Answer:

This system has no solutions.

Step-by-step explanation:

If we try to solve:

  1. 5x + 8 = 5x + 3
  2. 5x + 8 - 3 = 5x
  3. 5x + 5 = 5x
  4. 5x - 5x + 5 = 5x - 5x
  5. 5 = 0

Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.

Hope this helps!!

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A farmer with 1000 feet of fencing wants to enclose a rectangular field and then divide it into two plots with a fence parallel
Kipish [7]

Answer:

41,666.67m2

Step-by-step explanation:

Call W the Width and L the Length with 3 pieces.

The total length will be 2W + 3L

The Area is L*W

so,

A = L*W

2W+3L = 1000

Solve for L

3L = 1000-2W

L = (1000-2W)/3

subtitute for L into the first equation

A = L*W

A = W*(1000-2W)/3

A = (1000W - 2W^2)/3

Now, to find the max, set the 1st derivative = 0. I don't know if you know what that means, but...

dA/dW = 1000/3 - 4W/3 = 0

1000 - 4W = 0

W = 250 meters

Solve for L

2W+3L = 1000

500 + 3L = 1000

3L = 500

L = 166.67 m

Area = 250*500/3 = 41,666.67m2.

8 0
3 years ago
Find the m < VXW down below
zvonat [6]

Answer:

Step-by-step explanation:

5 0
2 years ago
NEED HELP PLEASE
Tom [10]

Answer:

f^-1(x) = (x + 3)^1/3 + 2

Step-by-step explanation:

..................................................

6 0
2 years ago
Check my steps and for part b, the professor wants us to show are work and I don't know how to solve it by hand.
Ugo [173]
Part a is correct.

Part b can be done a couple ways.
1) Use binomial distribution. p = 0.2, n = 144
P(x>3) = 1 - P(x=0) -p(x=1) -p(x=2) -p(x=3)
where
P(x=k) = (nCk)p^k (1-p)^{n-k}

2) Assume a normal distribution with mean = 28.2, stdev = 4.8
z = \frac{4 - 28.2}{4.8} = -5.04
Look up z-value in normal table to find probability.

Hope that helps.
4 0
3 years ago
During a huge snowstorm in the White Mountains last year, it snowed 400 centimeters in one week. How much did it snow in meters?
krek1111 [17]

Answer:

4 meters

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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