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Levart [38]
3 years ago
13

What's the value of given expression

="TexFormula1" title=" \sqrt{33 \times 3 + 1} " alt=" \sqrt{33 \times 3 + 1} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0
I believe it’s 10

Explanation : Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
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Solve rational inequality x²+x-6/x²-3x-4≤0?​
Fittoniya [83]

Answer:

Step-by-step explanation:

x

2

+

x

−

6

=

(

x

+

3

)

(

x

−

2

)

x

2

−

3

x

−

4

=

(

x

−

4

)

(

x

+

1

)

Each of the linear factors occurs precisely once, so the sign of the given rational expression will change at each of the points where one of the linear factors is zero. That is at:

x

=

−

3

,

−

1

,

2

,

4

Note that when

x

is large, the

x

2

terms will dominate the values of the numerator and denominator, making both positive.

Hence the sign of the value of the rational expression in each of the intervals

(

−

∞

,

−

3

)

,

(

−

3

,

−

1

)

,

(

−

1

,

2

)

,

(

2

,

4

)

and

(

4

,

∞

)

follows the pattern

+

−

+

−

+

. Hence the intervals

(

−

3

,

−

1

)

and

(

2

,

4

)

are both part of the solution set.

When

x

=

−

1

or

x

=

4

, the denominator is zero so the rational expression is undefined. Since the numerator is non-zero at those values, the function will have vertical asymptotes at those points (and not satisfy the inequality).

When

x

=

−

3

or

x

=

2

, the numerator is zero and the denominator is non-zero. So the function will be zero and satisfy the inequality at those points.

Hence the solution is:

x

∈

[

−

3

,

−

1

)

∪

[

2

,

4

)

graph{(x^2+x-6)/(x^2-3x-4) [-10, 10, -5, 5]}

8 0
3 years ago
Read 2 more answers
Y=2x+b in y=MX+b form
Fynjy0 [20]
It would appear your original equation is in Y=MX+b form, where M=2
4 0
3 years ago
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
Eddi Din [679]

15 to 19 was about a 27% in increase

3 0
2 years ago
Gym A charges a new member fee of $65 and $20 per month Gym B charges a new member fee of $25 and $35 per month but you get a di
Vinvika [58]

Answer: it will take 5 months for both gyms to cost the same.

Step-by-step explanation:

Let x represent the number of months for which the total cost of gyms are the same.

Gym A charges a new member fee of $65 and $20 per month. This means that the cost of using gym A for x months would be

20x + 65

Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly.

20% of 35 is 20/100 × 35 = 7

The monthly charge would be

35 - 7 = 28

This means that the cost of using gym A for x months would be

28x + 25

The number of months that it will take for the cost of both gyms to be the same would be

20x + 65 = 28x + 25

28x - 20x = 65 - 25

8x = 40

x = 40/8 = 5

4 0
3 years ago
Complete the equation so that it is
Setler [38]

Answer:

Any number other than 2

Step-by-step explanation:

Well if we plug in any number other than 2 like 1  for the blank and distribute,

the right side becomes,

3x + 6 = 3x + a number other than 6

Parallel lines have the same slope but different y intercept.

Look at the image below ↓

<em>Thus,</em>

<em>to make the equation have no solution the blank has to be any number other than 2.</em>

<em />

<em>Hope this helps :)</em>

8 0
3 years ago
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