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Dovator [93]
4 years ago
12

Solve the inequality. 1 2 (8x − 4) − 2 3 (9x + 6) ≤ 9 The solution is .

Mathematics
1 answer:
maks197457 [2]4 years ago
8 0

Answer:

x\geq-1.\overline{756}

Step-by-step explanation:

1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}

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2 <123 and 76 < 56 and if need help let me know.
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(X^ - 10x + 3) - ( -3x^ - 2x)
bagirrra123 [75]

Answer:

3x9+3x8+1

x9

Step-by-step explanation:

x−10x+3−(−3x−2)(x)

=

3x12+3x11+x3

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7 0
3 years ago
y=x^2-8x+6 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.
Irina18 [472]

Answer:

Below in bold.

Step-by-step explanation:

y = x^2-8x+6

y = (x - 4)^2 - 16 + 6

y = (x - 4)^2 - 10

So the vertex is at (4, -10)

The coefficient of x^2 of this function is 1 ( positive) so there will be  a minimum value.

Minimum value = -10.

x-intercepts:

(x - 4)^2 - 10 = 0

(x - 4)^2   =   10

x -  4 =  +/- √10

x =  4 +/- √10

- therefore there are 2 x-intercepts.

6 0
2 years ago
If the parent function f(x) = x2 is modified to g(x) = 2x2 + 1, which statement is true about g(x)?
satela [25.4K]
F ( x ) = x² ( the parent function )
f ( x ) is an even function.
g ( x ) = 2 x² + 1 
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4 0
3 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
ludmilkaskok [199]

Answer:

The hotel charge in city one before tax is $3750 and the hotel charge in city two before tax is $2250.

tep-by-step explanation:

Let a = the charge in 1st city before taxes

Let b= the charge in 2nd city before taxes

 

Based on the information given . We can have the following equation (1).

 

y = x - 1500  ......(1).

 

Interms of the information given , the following is formulated based on taxed paid .

 

0.065x + 0.06y = 378.75  .....(2).

Now we substitute equation (1) into (2).

 

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

        Therefor x=3750

Now x value into equation (1)

 

y = 3750 - 1500

y = 2250

 

 

The hotel charge in city one before tax is $3750 and the hotel charge in city two before tax is $2250.

 

8 0
3 years ago
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