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jok3333 [9.3K]
3 years ago
7

What is one point that lies in the solution set of the

Mathematics
1 answer:
Vlad [161]3 years ago
8 0
Substitute the given point (3, -2) in each condition
(i) y < -3; y ≤ (2/3)x - 4
-2 < -3 → False
Therefore, it is not a solution.
[Since the values of x and y must satisfy both the conditions, if one of them does not satisfy the condition then it is not necessary to check the other one.]
(ii) y > -3; y ≥ 2/3x - 4
-2 > -3 → True
y ≥ 2/3x - 4
-2 ≥ -2 → True
Therefore, it is a solution.
(iii) y < -3; y ≥ 2/3x - 4
-2 < -3 → False
Therefore, it is not a solution.
(iv) y > -2; y ≤ 2/3x - 4
-2 > -2 → False
Therefore, it is not a solution.
Thereofore, the system of linear inequalities having the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4. Hope it helps you.
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Answer:

27.74cm^2

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4 years ago
Least common denominator of 6and4 are____.
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The least common denominator is two
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Can yall tell me what B is? b-7/4=-2/3
Rashid [163]

Answer:

1 1/12

Step-by-step explanation:

b-7/4=-2/3

First, in an equation like this, you add 7/4 to each side which will look like this:

b-7/4=-2/3

 +7/4=+7/4

We add 7/4 to each side of the equation to balance the numbers.

b=+7/4-2/3 (because the minus symbol is in front, we put that)

Before adding we have to find the least common denominator known as LCD.

We find that by first looking at the denominators or the fractions which are 4,3

4,8,\12/,16,20,24.

3,6,9,\12/,15,18,21,24.

We can also find the LCD by multiplying 3 and 4. As you can see in the list, there are 12's in each list of numbers. We use that to change our fractions.

From the number 4 we find out how many times (x) we have to add 4 to get 12. We do 12/4 which is 3. And 12/3 which is 4.

7 x 3       2 x 4

-------   -   -------

4 x 3       3 x 4

which equals 21/12-8/12. Now that we have a common denominator, we can subtract.

21                  8                    13

---        -        ---        =         -----     =    1  \frac{1}{12}

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I hope this helps, please let me know if I have any incorrections. :D

8 0
3 years ago
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte
statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

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The given function is

f(x)=x^2

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Substitute a=1 in equation (2).

g(x)=1(x-5)^2+2

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The function g(x) is g(x)=(x-5)^2+2.

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