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andriy [413]
3 years ago
13

Please help me out :((

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

Answer:

1) 5*x + 6 = 2 + 3*x

5*x - 3*x = 2 - 6

(5 - 3)*x = -4

2*x = - 4

x = -4/2 = -2

x = -2

We have only one solution.

2) 2*(6 - 2*y) = -1*(4*y - 9)

12 - 4*y = -4*y + 9

12 - 9 = -4*y + 4*y = 0

3 = 0

This is absurd, so this equation has no solution.

3) 2*z - 6 = 2*(z + 2) - 10

2*z - 6 = 2*z + 4 - 10

2*z - 6 = 2*z - 6

Here we have the exact same thing on both sides of the equation, then we have infinite solutions, this happens because z can take any value, and the equation will be true always.

4) We want to have no solutions, so we need to end with something like:

1 = 6

so, we start with:

5*x + 1 = 5*x + A

We want to find the value of A.

First, we can subtract 5*x in both sides, so we get:

1 = A

Now we just need to take A different than 1, for example, if A  = 2, then:

1 = 2

In this case the equation has no solutions, then we have:

5*x + 1 = 5*x + 2

5) We want to have one solution:

3*x - 3 = A*x + 11

We want to end with something like x = k

Let's solve the equation for x:

3*x - 3 = A*x + 11

3*x - A*x = 11 + 3

(3 - A)*x = 14

if we take A = 2, then:

(3 - 2)*x = 14

x = 14

So this equation has only one solution, the equation is:

3*x - 3 = 2*x + 11

6) We want to have infinitely many solutions, then we need to have the same thing on both sides, then we need to have an equation like:

8*x - 7 = 8*x - 7

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Svetach [21]
<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
 let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828...
(the decimal 28 part repeats) 100x = 128.28...
next: 100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
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divide both sides by 99 to get
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8 0
3 years ago
Which choice is equivalent to the expression below?
eimsori [14]

Answer:

C

Step-by-step explanation:

We have the expression:

\sqrt{-100}

Rewriting this yields:

=\sqrt{-1\cdot100}=\sqrt{-1}\cdot\sqrt{100}=i\sqrt{100}=10i

Therefore, our answer is C.

6 0
2 years ago
Find the slope of the line containing the points (2,-5) and (-4,9)
eimsori [14]

Answer:

The slope would be -2  1/3 or -2.3 repeating

Step-by-step explanation:

The first point would be (-4, 9). The next point is (2, -5). We can tell that the slope will be negative, because the x values increased by 6, but the y values decreased by 4.

The slope would be -2  1/3 or -2.3 repeating

I Hope That This Helps! :)

5 0
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2 people can make 2 bicycles in hours.How many people are needed to make 12 bicycles in 6 hours.​
Sedaia [141]

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4 0
3 years ago
Please help!!
iragen [17]

Answer:

Option (C)

Step-by-step explanation:

Cost of ordering the number of shirts is represented by the function,

f(x) = 12.75x + 3.5

where x = number of players in the bowling team

Since number of players a bowling team can have,

6 ≤ x ≤ 10

Therefore, domain of the function: 6 ≤ x ≤ 10

For x = 6,

f(6) = 12.75(6) + 3.5

     = 80

For x = 7,

f(7) = 12.75(7) + 3.5

     = 92.75

For x = 8,

f(8) = 12.75(8) + 3.5

     = 105.5

For x = 9,

f(9) = 12.75(9) + 3.5

     = 118.25

For x = 10,

f(10) = 12.75(10) + 3.5

      = 127.5 + 3.5

      = 131

Therefore, for the given domain range of the function will be,

Range : {80, 92.75, 105.5, 118.25, 131}

Option (C) will be the answer.

5 0
3 years ago
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