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kolezko [41]
2 years ago
11

Which number line represents the solution set for the inequality -1/2 > 4

Mathematics
1 answer:
m_a_m_a [10]2 years ago
5 0

Answer:

the first one

Step-by-step explanation:

You might be interested in
Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0
3 years ago
Jackson used the process of completing the square to solve the equation 2x2−12x=−6.
Nikolay [14]

Answer:

x=3-\sqrt{6},x=3+\sqrt{6}

Step-by-step explanation:

we are given equation as

2x^2-12x=-6

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

2(x^2-6x)=-3\times 2

step-2:

Simplify it

x^2-6x=-3

step-3:

Add both sides 3^2

x^2-6x+3^2=-3+3^2

now, we can complete square

(x-3)^2=6

step-4:

Take sqrt both sides

(x-3)=-\sqrt{6},(x-3)=\sqrt{6}

step-5:

Add both sides by 3

we get

x=3-\sqrt{6},x=3+\sqrt{6}


3 0
3 years ago
A teacher has a total of 7/9 bucket of water to pour into pots with flowers that are standing in equal quantities on two windows
AleksAgata [21]

Answer:

14 pots

Step-by-step explanation:

if teacher pours 1/18 in each pot and there was 7/9 buckets in total, 9 fits into 18 twice so just 7X2 =14 and 9X2=18 so 14 pots were watered

hope this helps

3 0
2 years ago
Which is the better buy
Tasya [4]
$12 for 3 pies = $4 for 1 pie
$10 for 2 pies = $5 for 1 pie
store A is the better buy
3 0
2 years ago
What is 3/8 of 200?<br> pls show work<br> 35 POINTS!!!
yanalaym [24]

Answer:

The answer is 75

Step-by-step explanation:

3/8*200=75.

3 0
2 years ago
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