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lorasvet [3.4K]
3 years ago
5

Solve the inequality 3(x+2)>0

Mathematics
1 answer:
Goryan [66]3 years ago
4 0
Distribute
3x+6>0

Subtract 6 from both sides
3x>-6

Divide both sides by 3
x>-2

Final answer: x>-2
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Give the discriminant of the equation 0 = −x2+6x−9<br>please answer
Brut [27]

Answer:

x = 3

Steps:

- ( {x}^{2}  - 6x + 9) = 0

-  {(x - 3)}^{2}  = 0

{(x - 3)}^{2}  = 0

x - 3 = 0

There you go!

8 0
3 years ago
Set notation and interval notation:<br><br> -3 is less than or equal to x, which is less than 5
ASHA 777 [7]
-3 is less than 5 -3<5
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ExtremeBDS [4]

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6 0
2 years ago
Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?​
DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".  

<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>

Thus, Carmen's score is (x-6).

The total score of the girls is

= x + (x-6) = 2x-6

The total score is given to be 156.

Thus, the equation becomes,

2x-6 = 156

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5 0
3 years ago
Can anyone help me solve this
yawa3891 [41]

Answer:

a. $45.54; b. $51.42; c. See below

Step-by-step explanation:

a. 193 min

        Service charge = $40.00

1st 100 min @ 0.021 =      2.10

Next 93 min @0.037 = <u>    3.44 </u>

                        Total =  $45.54

b. 317 min

          Service charge = $40.00

  1st 100 min @ 0.021 =      2.10

2nd 100 min @ 0.037 =     3.70

        117 min @ 0.048 =   <u>   5.62</u>

                          Total =   $51.42

c. Piecewise function

The charge is  

  • $40.00 + 0.021t               if t ≤ 100
  • $42.10 + 0.037(t - 100)    if 100 < t ≤ 200
  • $45.80 + 0.048 (t - 200) if t > 200

which we can write like this:

f(t) =\begin{cases}40.00 + 0.021t & t \leq 100\\42.10 + 0.037(t-100) & 100 < t \leq200\\45.80 + 0.048(t-200) & t > 200\end{cases}

5 0
3 years ago
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