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masha68 [24]
3 years ago
5

Solve for x -4(2x-3)= -36

Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

x=6

Step-by-step explanation:

-4(2x-3)=-36

-8x+12=-36

-8x=-48

x=6

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Please help me asap!!!!
Ghella [55]
Milli = .001
deci = .01
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6 0
3 years ago
Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

  • if |a|> b then a>b or a<-b
  • if |a|< b then a<b or a>-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0
3 years ago
What is the slope of the line that passes through the pair of points (-5/3, -1) and (-2, 9/2)?
vovangra [49]
Slope = (9/2 + 1) / (-2 + 5/3)
     
      11/2
= ----------
      -1/3
= 11/2 (-3/1)
= -33/2
or
= -16.5
7 0
3 years ago
MATH :((<br>how do the chart??<br><img src="https://tex.z-dn.net/?f=%20-%20x%20%20%5E%7B2%7D%20%20-%209%20%5Cgeqslant%200" id="T
siniylev [52]

Answer:

<h2>no solution</h2>

Step-by-step explanation:

-x^2-9\geq0\qquad\text{change the signs}\\\\x^2+9\leq0\\\\\text{the parabola}\ x^2\ \text{is op}\text{en up and shifted 9 units up. Therefore is whole}\\\text{over the x-axis (only positive values)}.\\\\\bold{CONCLUSION}:\\\\\bold{no\ solution}

5 0
3 years ago
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