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FinnZ [79.3K]
4 years ago
8

Solve: -7 < 2x+5 < 7

Mathematics
1 answer:
kondor19780726 [428]4 years ago
4 0

Answer:

- 6 < x < 1

Step-by-step explanation:

first things first:

- 7 < 2x  + 5 \\  - 7 - 5 < 2x  + 5 - 5 \\  - 12 < 2x \\  - 6 < x

now:

2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1

now the intersection is:

- 6 < x < 1

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3 years ago
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The quick ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces.
Volgvan

Complete question :

The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?

A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces

B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

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Answer:

C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate

Step-by-step explanation:

The shipping rates are :

C(w) = 0.45w

Second rate :

C(w) = 0.35w + 1.6

For the first shipping rate, it only has a rate of change value which varies based on the weight of item to be shipped, C(w) = 0.45w.

However, the second shipping rate includes a fixed rate and rate based on the weight of item. This fixed rate implies that regardless of the weight of item to be shipped, a fixed fee is charged which is $1.60. This means that the shipping fee at the secind rate will always be $1.60 greater than thebfirst shipping rate.

3 0
3 years ago
Using the figure, find x and y
kakasveta [241]

Answer:

  • x = 8
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Step-by-step explanation:

The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...

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Side x is thus twice the length of short side 4, so x = 8.

Side y is √3 times the length of short side x-6 = 2, so y = 2√3.

_____

If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.

  x = √(4² +(4√3)²) = √64 = 8

  y = √(4² -2²) = √12 = 2√3

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Answer:

I think b is the correct answer

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dmitriy555 [2]
Its A (1,2) yo you should look for a graphing calculator it helps alot all you need is to put that exact equation in and it graphs for you
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