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masha68 [24]
3 years ago
5

How do I solve this problem

Mathematics
1 answer:
elena55 [62]3 years ago
3 0
From what I can see:

3<4x-1≤11  add 1 to all terms

4<4x≤12  divide all terms by 4

1<x≤3 or in interval notation:

x=(1,3]
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I don't know how to simplify this question. Is quotient rule necessary?
barxatty [35]

Answer:

The answer to your question is \frac{(x+1)^{2}(x - 23)}{(x-7)^{3}}, because the directions says to give the answer in factor form.

Step-by-step explanation:

                               \frac{3(x+1)^{2}(x-7)^{2}- (x+1)^{3}(2)(x - 7)}{(x - 7)^{4}}

Factor like terms   (x - 7)(x + 1)²

                               \frac{(x - 7)(x + 1)^{2}[3(x - 7) - 2(x + 1)}{(x - 7)^{4}}

Simplify

                              \frac{(x+1)^{2}[3(x - 7) - 2(x+1)]}{(x-7)^{3}}

Expand

                              \frac{(x+1)^{2}[3x - 21 -2x - 2]}{(x - 7)^{3}}

Simplify

                             \frac{(x + 1)^{2}(x - 23)}{(x - 7)^{3}}    

5 0
4 years ago
Ann uses 3/4 cup pecans to make 2 dozen banana muffins. How many cups of pecans would she use to make 5 dozen muffins
Lisa [10]

Answer:

1\frac{7}{8}cups

Step-by-step explanation:

2 dozen muffins = \frac{3}{4}cups

5 dozen muffins = \frac{5}{2} × \frac{3}{4}cups

                           = \frac{15}{8}cups

                           = 1\frac{7}{8}cups

5 0
3 years ago
I could use any help as soon as possible in need this due tomorrow for exams
EastWind [94]
The answer woukd be 23
6 0
3 years ago
Read 2 more answers
A small boat traveled 29.5 miles upstream in 2 hours. The same boat took 3 hours to travel 59.25 miles downstream. If the speed
mel-nik [20]

Answer:

  • boat speed: 17.25 mph
  • current: 2.5 mph

Step-by-step explanation:

Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...

  speed = distance/time

  b-c = 29.5/2 = 14.75 . . . . . miles/hour

  b+c = 59.25/3 = 19.75 . . . .miles/hour

Subtracting the first equation from the second, we get ...

  (b+c) -(b-c) = 19.75 -14.75

  2c = 5

  c = 2.5

Then either equation can be used to find b:

  b = 14.75 +c = 17.25

The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.

5 0
3 years ago
Find the value of each card and put them in order, from lowest to highest.
Sladkaya [172]
Think it should just be A B D C not sure though, try it
6 0
2 years ago
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