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schepotkina [342]
3 years ago
10

2x-3y=-5 2x+y=7 what is the solution?

Mathematics
1 answer:
shusha [124]3 years ago
6 0

Answer:

y = 3 and x = 2

Step-by-step explanation:

subtract the 2nd eqn from the first...

-4y = -12

y = 3

substitute the value of y into either of the eqns...

2x - 3(3) = -5

2x = 4

x = 2

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What is the first step to verify that the following identity is true?
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Step-by-step explanation:

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3 years ago
F(x)=2x-3 g(x)=x^2+1 find g(2)
Hitman42 [59]

Answer:

g(2)=5

Step-by-step explanation:

since g(x) is equal to x^2+1, you just plug in the value of 2 for x, to get 2^2+1, and 2 to the power of 2 (also known as 2 squared) is equal to 4, which makes your equation 4+1, which equals 5.

3 0
3 years ago
The ten sides of a regular decagon are colored with five different colors, so that all five colors are used, and sides that are
const2013 [10]

Answer:

  • <u>120</u>

Explanation:

Number the sides of the decagon: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, from top (currently red) clockwise.

  • The side number one can be colored of five different colors (red, orange, blue, green, or yellow): 5
  • The side number two can be colored with four different colors: 4
  • The side number three can be colored with three different colors: 3
  • The side number four can be colored with two different colors: 2
  • The side number five can be colored with the only color left: 1
  • Each of the sides six through ten can be colored with one color, the same as its opposite side: 1

Thus, by the multiplication or fundamental principle of counting, the number of different ways to color the decagon will be:

  • 5 × 4 × 3 × 2 ×1 × 1 × 1 × 1 × 1 × 1 = 120.

Notice that numbering the sides starting from other than the top side is a rotation of the decagon, which would lead to identical coloring decagons, not adding a new way to the number of ways to color the sides of the figure.

6 0
3 years ago
According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
WITCHER [35]

Answer:

0.15651

Step-by-step explanation:

This can be approximated using a Poisson distribution formula.

The Poisson distribution formula is given by

P(X = x) = (e^-λ)(λˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to x)

where λ = mean of distribution = 20 red bags of skittles (20% of 100 bags of skittles means 20 red bags of skittles)

x = variable whose probability is required = less than 16 red bags of skittles

P(X < x) = Σ (e^-λ)(λˣ)/x! (Summation From 0 to (x-1))

P(X < 16) = Σ (e^-λ)(λˣ)/x! (Summation From x=0 to x=15)

P(X < 16) = P(X=0) + P(X=1) + P(X=2) +......+ P(X=15)

Solving this,

P(X < 16) = 0.15651

4 0
3 years ago
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