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ella [17]
3 years ago
7

Select the correct answer. Which graph represents the solution to this inequality? A. B. C .

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer: C

Step-by-step-explanation: Given

- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

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What is the coordinate?
faltersainse [42]
Remember that the equation of a circle is:
(x - h)^{2} + (y - k)^{2} =  r^{2}
Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

x^{2} - 6x +  y^{2} - 10y = 56

Complete the square. We must do this for x² - 6x and y² - 10y separately.

x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9

Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

x^{2} - 6x + 9 + y^{2} - 10y = 65

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.

y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

(x - 3)^{2}+ y^{2} - 10y + 25= 90

Factor y² - 10y + 25 to get (y - 5)²

(x - 3)^{2}+ (y - 5)^{2} = 90

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)

Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.
7 0
3 years ago
What is 4 1/4 divided 4 1/2
Ainat [17]
If you can use a calculator, enter (4/1/4)/(4/1/2) and you will get 1/2
8 0
3 years ago
Pls help me this is do in 10 minutes
aalyn [17]
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2 years ago
What is the radius and center of a circle with the equation (x – 2)2 + (y – 3)2 = 36?
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Answer:IT DEFINETLY SHOULD BE B

3 0
3 years ago
Read 2 more answers
Find the selling price for a case of Newman's Own® special blend coffee that costs the retailer $35.87 if the markup is 22% of t
mote1985 [20]

Answer:

The selling price is $46 approx.

Step-by-step explanation:

The cost price is = $35.87

Markup is 22% of selling price.

Let the selling price be = 100%

So, 100%-22%=78% = 0.78

So, solution is = 35.87/0.78=45.98 ≈ $46.

Hence, the selling price is $46 approx.

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