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Vesna [10]
3 years ago
11

Consider the following statements.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:

.

Step-by-step explanation:

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A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation
wlad13 [49]

Answer:

Option 4

Step-by-step explanation:

Let any two real number a and b (no matter +ve, -ve or 0). a ≥ b

The average of them will always lie in between them or be equal(if 0).

Let's prove : According to the statement,

a ≥ (a + b)/2 ≥ b

2a ≥ a + b ≥ 2b

2a ≥ a + b and a + b ≥ 2b

a ≥ b and a ≥ b, as we assumed.

Moreover, as the average exists in between a and b, we have the average (a + b)/2. Similarly, there exists one more average of (a + b)/2 and a or b, which definitely lie between a and b as (a + b)/2 lies there and smaller than a and b.

In the same order, we can have many average and the process would stop. This leads to infinite number between a and b.

Notice that we talked about all the numbers moreover there are many irrational(non-terminating like 9.898989.... etc numbers as well.

Option (4), infinite solutions.

Note: we solved for all the number (not specifically odd, even, natural, whole, integer, etc).

7 0
3 years ago
A cab company charges $10.00 per ride plus an additional .75 per mile write the problem in slope intercept form
Natalija [7]
Well the dependent variable is .75, and the independent variable is 10.

So,
.75x + 10 would be the equation, the number of miles representing x.


8 0
3 years ago
A manufacturer has fixed costs of $16,000 per month and can produce w widgets at a cost of 0.1w^(2) + 20w. How many widgets shou
musickatia [10]
Consider c as the cost of the widget so that our given equation is
c = 0.1w^2 + 20w
Take the derivate of the equation.
d/dt (c = 0.1w^2 + 20w)
dc/dt = 0.2w + 20
Given dc/dt = $16000 per month, the number of widgets would contain:
16000 = 0.2w + 20
-0.2w = 20 - 16000
-0.2w = -15980
w = 79900 widgets
5 0
2 years ago
How are the measures of the angles of an equilateral triangle related?
mafiozo [28]
I believe the answer is B
4 0
3 years ago
Read 2 more answers
I am making this question for emmatannerfns to chat with me
Arturiano [62]

Answer:

Hi , how are you ig .

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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