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ludmilkaskok [199]
3 years ago
15

Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

Step-by-step explanation:

-1/5 x+3 ≤7

-1/5 x≤7-3

-1/5 x≤4

x≥-20

{-20,-10,0,10,20}

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3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
3 years ago
Read 2 more answers
What is standard form
ahrayia [7]
It either word for or number form
5 0
4 years ago
The points earned by each choir team during the All-State Competition are as follows:
gavmur [86]
130.1 because 1 rounds down to 0 it isn't over 5
8 0
3 years ago
If mAngle3 = 29°, what is mAngle4?
kondor19780726 [428]

Please consider the attached graph.

We have been given that measure of angle 3 is 29°. We are asked to find the measure of angle 4.

Upon looking at our diagram, we can see that angle 3 and angle 4 are linear angles.

We know that linear angles add up-to 180 degrees, so the sum of measure of angle 3 and angle 4 will be 180 degrees.

m\angle 3+m\angle 4=180^{\circ}

29^{\circ}+m\angle 4=180^{\circ}

29^{\circ}-29^{\circ}+m\angle 4=180^{\circ}-29^{\circ}

m\angle 4=151^{\circ}

Therefore, the measure of angle 4 is 151 degrees.

3 0
3 years ago
Suppose you are going to graph the data in the table. Minutes Temperature (°C) 1 -2 2 5 3 10 4 24 5 35 6 22 7 6 8 -8 What data s
Temka [501]

Answer:

It should be represented Minutes on the x-axis, and Temperature (°C) on the y-axis, and the axis increment on the x-axis sould be 1, and on the y-axis should be 5

Step-by-step explanation:

Minutes     Temperature (°C)

     1                   -2

     2                   5

     3            10

     4            24

     5            35

     6            22

     7             6

     8            -8

6 0
4 years ago
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