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il63 [147K]
3 years ago
6

28 POINTS!!!!!! Solve for x. Please Help

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
7 0
The correct answer is the first option which is negative 2
svet-max [94.6K]3 years ago
6 0

Answer:

The third choice, x\leq -8

Step-by-step explanation:

One way to do it is to substitute in the potential answers. I'll show you here.

<u>Choice 1</u>

2(-2)+3\leq (-2)-5

-4+3\leq -2-5

-1\leq -7

We can see that this is false, so the answer cannot be choice 1.

<u>Choice 2</u>

<u />2(2)+3\leq (2)-5<u />

<u />4+3\leq 2- 5<u />

<u />7\leq -3<u />

This is also false, so the answer cannot be choice 2.

<u>Choice 3</u>

<u />2(- 8)+ 3\leq (-8)-5<u />

<u />-16+3\leq -8-5<u />

<u />-13\leq -13<u />

This is true. Let's see if choice 4 works.

<u>Choice 4</u>

<u />2(8)+3\leq (8)-5<u />

<u />16+3\leq 8-5<u />

<u />19\leq 3<u />

This is not true. Therefore, 3 is correct.

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Am eastern cotttentail rabbit and ferret weigh 7 lbs together. The ferret weighs 2 lbs more than the rabbit. Create a system of
aleksklad [387]

Answer:

Step-by-step explanation:

The first equation is the weights of the rabbit and the ferret together which is

r + f = 7.

The second equation puts the weight of the ferret in terms of the rabbit. If the ferret's weight is 2 pounds more than the rabbit, then

f = r + 2 (the word "is" means equals). Since we know what f is equal to, we will sub it into the first equation and solve for r:

r + (r + 2) = 7 and

2r + 2 = 7 and

2r = 5 so

r = 2.5 pounds.

A rabbit weights 2.5 pounds and the ferret weights 7 - 2.5 which is 4.5 pounds.

7 0
3 years ago
5. Evaluate the function f (x) = 4 • 7x for x = -1 and x = 2. Show your work.
mylen [45]
F(-1)= 4*7(-1) = 4*-7 = -28

F(2)= 4*7(2) = 4*14 = 56
5 0
3 years ago
Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutt
sattari [20]

Answer:

b:  See first attached photo

c:  V = x²y

d and e:  V = x(3 - 2x)²

f:  2 cubic feet

Step-by-step explanation:

a:  Sketch several boxes and calculate the volumes.  

b:  See first attached photo a diagram of this situation

The diagram is a square. We are cutting out squares from the corners.  We don't know the size of the square yet. The side lengths were 3, but now they are 3 - 2x   (since each corner has one side of the square, there are 2 sides of the cut out square on each side of the larger square)

c: The equation for volume is:  V = x²y

The length and width of the box are the x values, the height would be the y value

d and e:  It wants the equation for the volume for our situation.  The base of the box is (3 - 2x)(3 - 2x) or (3 - 2x)².  The height of the box is x, so the volume is

V = x(3 - 2x)²  

f:  Take the derivative, find the critical values, then plug that into x and solve for the volume.  See second attached photo for the work for finding the x value that maximizes the box, and the third attached photo for the evaluation of the maximum volume...

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3 years ago
If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outc
ASHA 777 [7]

Answer:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

Step-by-step explanation:

The sample space is the set of all possible outcomes in the experiment of rolling a six-sided die and then drawing a playing card and checking its color.

There are 6 possible outcomes for the die roll and two for the color of the card, which yields a total of 12 possible outcomes. The sample space is:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

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4 years ago
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Answer:

c

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7 0
3 years ago
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