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svetoff [14.1K]
1 year ago
10

Solve 4(x-3) -2(x - 1) > 0.

Mathematics
2 answers:
Vinil7 [7]1 year ago
5 0
Check the explanation for answer

drek231 [11]1 year ago
4 0

Answer:

x > 5

Step-by-step explanation:

4(x-3) - 2(x - 1) > 0

Expand the brackets.

4x - 12 - 2x + 2 > 0

Simplify.

2x - 10 > 0

Isolate x.

2x > 10

x > 5

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Please help with the questions in the image
polet [3.4K]

Answer:

  • (a) C(d) = 270 + 0.20d
  • (b) C(1800) = 630
  • (c) see attached (lower right graph). The slope represents the cost (in dollars) per mile.
  • (d) It represents the fixed cost (amount she pays even if she does not drive)
  • (e) the cost increases as the number of miles driven increases

Step-by-step explanation:

(a) You are given two points, (d, C) = (360, 342) and (780, 426). The two-point form of the equation for a line can be helpful.

... y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Using the given points and variables, ...

... C = (426 -342)/(780 -360)(d -360) +342

... C = (84/420)(d -360) +342

... C = 0.20d +270 . . . . the equation for cost as a function of miles driven

(b) Fill in the value for d and do the arithmetic.

... C = 0.20·1800 +270 = 360 +270 = 630

(c) The slope of the curve is (change in dollars)/(change in miles) = $/mile, the cost of each mile driven. (It is $0.20 per mile.)

(d) The C-intercept is C(0) = cost for 0 miles driven. (It is $270.)

(e) Both your own experience and the problem statement tell you that the cost of vehicle operation varies with miles driven. If nothing else, you need to pay more for gas the farther you drive.

(In real life, you don't expect the model to be exactly linear, becasue you get a large jump in cost when you reach certain maintenance interval miles: 15,000, 30,000, and so on.)

7 0
2 years ago
How do you think a dolphin jumping out of water relates to a quadratic?
Murrr4er [49]
Sawyer and Emily is so cute I love
8 0
3 years ago
A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago, the age of the father was five tim
arlik [135]

Answer:

20

Step-by-step explanation:

To solve this you have to make a system of equations.

Since the father and son's age sum up to 60, the first equation will be:

f + s = 60

Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:

6 - (5s) = f

Now, you have to solve the first equation to let it equal to s

f + s = 60

f = 60 - s

Plug in

6 - 5s = 60 - s

     +s          +s

6 - 4s = 60

-6         -6

---------------------

-4s = 54

-----   -----

 -4     -4

   s ≅ 14

14 + 6 = 20

5 0
1 year ago
Read 2 more answers
Christine's grade in the three quarters are 88,91,90. if she targets to have an average grade not less then 92 in the four quart
dezoksy [38]

Total marks C needs to get = 92 x 4 = 368

Least grade (fourth quarter) = 368 - 88 - 91 - 90 = 99

8 0
3 years ago
Please answer 1 and 2 soon
olganol [36]

Answer:

1.36+3+(32)(2)

=57

error is that 6 is the wrong answer

4 0
3 years ago
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