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diamong [38]
1 year ago
11

Twice a​ number, increased by ​three, is between negative one and nine. Find all the numbers.

Mathematics
1 answer:
pashok25 [27]1 year ago
8 0

The solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.

Given that, twice a​ number, increased by ​three, is between negative one and nine.

<h3>What is inequality?</h3>

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Let the unknown number be x.

Now, twice a​ number, increased by ​three = 2x+3

The given expression is between negative one and nine

-1 < 2x+3 < 9

-1 < 2x+3

Subtract 3 to both the side of the inequality

-1-3<2x+3-3

⇒ -4 < 2x

Divide 2 to both the side of the inequality

-2 < x

Now, 2x+3 < 9

Subtract 3 to both the side of the inequality

2x+3-3<9-3

⇒ 2x<6

Divide 2 to both the side of the inequality

x < 3

So, -2<x<3

Solution set = {.......-5, -4, -3, -2, -1, 0, 1, 2}

Therefore, the solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.

To learn more about a inequality visit:

brainly.com/question/20383699.

#SPJ1

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Answer:

Width=28 1/3 Length=51 2/3

Step-by-step explanation:

1. Create an equation

x+(2x-5)=80

2. Solve

x+(2x-5)=80

3x-5=80

3x-5+5=80+5

3x/3=85/3

x=28 1/3

So, if x=28 1/3

85/3x2=170/3

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So, Length=51 2/3

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How to calculate a probability
Lelu [443]
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P=\frac{possibility-of-an-event-occuring}{number-of-total-outcomes}

For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.

P(4)=1/6

Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:

1
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3
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Of the 6 possibilities, 3 are even numbers.

P(even)=3/6 or 1/2
6 0
3 years ago
The functions f and g are graphed in the same rectangular coordinate system, shown to the right. If g is obtained from f through
german

The first thing we notice is that the function is reflected. So we can start by reflecting it with respect to the x-axis.

We do this by adding a negative sign in the function:

\begin{gathered} f_0(x)=x^2 \\ f_1(x)=-f_0(x)=-x^2 \end{gathered}

Now, we have the function reflected, but in the wrong position. We can track its position by the vertex. It was originally at (0,0) and remains at (0,0) after the reflection.

But the final function have its vertex at (-5,0), so we have to translate the function 5 units to the left. we do this by adding 5 to the x in the function:

f_2(x)=f_1(x+5)=-(x+5)^2

Now, to check if there isn't any dilatation, we can check on other point in the graph to see if it checks out.

In the blue graph, we see the point (-3,-4), so let's input x = -3 and see if it checks out:

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We got y = -4, so it checks out.

Thus, the answer is:

g(x)=-(x+5)^2

3 0
1 year ago
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