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Firdavs [7]
3 years ago
8

Select the graph of the solution. Click until the correct graph appears. {x | x < 4} ∩ {x | x > -2

Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

So the solution is -2<x<4 with it's graph is

       O~~~~~~O

------(-2)--------(4)-----------

Step-by-step explanation:

The intersection symbol means it has to be included in both sets.

We have that x<4 and x>-2.

If we graph this, where do we see both shadings:

~~~~~~~~~~~~~~~0                   x<4

         O~~~~~~~~~~~~~~~~~    x>-2

-------(-2)-------------(4)------------

Both shadings happen between -2 and 4 (and not outside that area).

So the solution is -2<x<4

It's graph is

       O~~~~~~O

------(-2)--------(4)-----------

Disclaimer:

I didn't see any equal signs in your problem.

You know the \ge or the \le so we didn't have any closed dots.

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A shipping container will be used to transport several 50-kilogram crates across the
Kisachek [45]

Answer: 4660

Step-by-step explanation:

Given

Weight of a single crate =50 kg

Maximum weight in the container =26500 kg

Other shipments weight  =3200 kg

Here, x is the no of 50 kg crate

Weight of x crates and other shipments must be equal to or less than 26500 i.e.

50x+3200\leq 26500

subtracting 3200 both sides

5x\leq23300\\x\leq4660

So, maximum no of crates to be loaded are 4660

4 0
3 years ago
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Jeff is shopping for a new T-shirt at a clothing store. The graph shows total price for the shirts depending on how many T-shirt
Ber [7]

Answer:

C 9

Step-by-step explanation:

The constant of proportionality  is the price divided by the number of tshirts

9 dollars / 1 tshirt

9

6 0
3 years ago
Read 2 more answers
At which points are the equations y = x2 + 5x - 2 and y = x + 1 equal?
lana [24]

Answer:

When they are equal, y=y, so we can say:

x^2+5x-2=x+1  subtract x from both sides

x^2+4x-2=1  add 2 to both sides

x^2+4x=3, now add half the linear coefficient squared, (4/2)^2=4

x^2+4x+4=3+4 now the left side is a perfect square

(x+2)^2=7  now take the square root of both sides

x+2=±√7  subtract 2 from both sides

x=-2±√7

x=-2+√7 and -2-√7

y=x+1 the two points where these equations are equal are:

(-2-√7, -1-√7) and (-2+√7, -1+√7)

or approximately:

(-4.65, -3.65) and (0.65, 1.65)

4 0
3 years ago
A company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manag
Studentka2010 [4]

Answer:

$360.

Step-by-step explanation:

First we need to find how much it costs for a single case of printer paper.

48 ÷ 2 = 24

It costs $24 to buy one case of 12 packages.

Now we have to figure out how many cases we will need to buy for the total amount of 180 packages.

I will divide 12 from 180.

180/12 = 15.

You will need to buy 15 cases to get 180 packages.

Now to find the cost, we have to multiply.

x = 15 (amount of cases)

y = $24 (price of case)

z = How much it costs.

x * y=z

Substitute:

15*24=z

Multiply:

15 * 24= 360

z=360

If the price does not change, the total cost of next month's order will be $360.

6 0
3 years ago
True or false? If you took a true if then statement and inserted a knot in each closet, the new statement would also be true.
Firlakuza [10]
Answer: FALSE

Actually, the answer to this question depends on whether the clause is reversed or not.

Since we are not told whether the the clause is reversed or not. It is safe to assume that it was retained (i.e. not reversed). So the answer to this question is FALSE because if one takes a true "if-then" statement, inserted a 'not' in each clause, and retained the clauses, the new statement would NOT be true.

On the contrary, if the clause is reversed, the answer would be TRUE, because if one takes a true "if-then" statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.
6 0
3 years ago
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