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meriva
3 years ago
11

What is the justification for each step in solving the inequality?

Mathematics
1 answer:
Alik [6]3 years ago
4 0
75x+35≥7(11x+9)+475x+35≥7(11x+9)+4

75x+35≥77x+63+475x+35≥77x+63+4        [expand all blackets]

75x+35≥77x+6775x+35≥77x+67                [collect like terms]

−2x+35≥67−2x+35≥67 −2x≥32−2x≥32       [subtract 77x through]

x≤−16x≤−16                                                [subtract 35 through and divide through by 2]
You might be interested in
What graph represents −3x+1≤10
nalin [4]

The solution of the inequality is x ≥ -3 and the graph is shown below

<h3>Graph of inequalities </h3>

From the question, we are to determine the graph that represents the given inequality

The given inequality is

−3x + 1 ≤ 10

First, we will solve the inequality

−3x + 1 ≤ 10

Subtract 1 from both sides

−3x +1 -1 ≤ 10 - 1

−3x ≤ 9

Divide both sides by -3 and<u> flip the sign</u>

x ≥ -3

The graph of the inequality is shown below

Learn more on Graphing inequalities here: brainly.com/question/13053003

#SPJ1

6 0
2 years ago
According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?
MakcuM [25]

Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

4 0
3 years ago
What is 1 3/4 gallons, in quarts?
Serggg [28]

Answer:  7 Courts

Step-by-step explanation: One US gallon equals for US courts, so 1 3/4 x 4 is seven

5 0
3 years ago
Read 2 more answers
49a = 245.....................................................
scoray [572]
You would divide 245 by 49 to get a 
a= 5
7 0
4 years ago
Read 2 more answers
Brainlist if u get it right please help
Katarina [22]

Answer:

9 units right and 7 units up! You can check!!! D!

Step-by-step explanation:

Brainliest???

8 0
3 years ago
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