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gtnhenbr [62]
2 years ago
5

Is this ordered pair a solution to the inequality?

Mathematics
2 answers:
VLD [36.1K]2 years ago
8 0
2.2(5) - 4.33(1) >0
11 - 4.33 > 0
6.67 > 0

B)Yes
Alexus [3.1K]2 years ago
5 0
A - yes, because the answer becomes 11 - 4.33 > 0 when you plug in x and y. and this is correct. hope that helps! :)
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4. The directrix of the parabola 12(y + 3) = (x-4)2 has the equation y=-6. Find the coordinates of
Sveta_85 [38]

The coordinates of the focus of the parabola are (4 , 0)

Step-by-step explanation:

The standard form of the equation of the parabola is  

(x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h , k)
  • The focus is (h , k + p)
  • The directrix is at y = k - p

∵ The equation of the parabola is 12(y + 3) = (x - 4)²

 - The form of the equation is (x - h)² = 4p(y - k), compare

    between them to find h, k and p

∴ h = 4

∵ - k = 3

- Multiply both sides by -1

∴ k = -3

∵ 4p = 12

- Divide both sides by 4

∴ p = 3

∵ The coordinates of the focus are (h , k + p)

∵ h = 4 , k = -3 , p = 3

∴ k + p = -3 + 3

∴ k + p = 0

∴ The focus is (4 , 0)

The coordinates of the focus of the parabola are (4 , 0)

Learn more:

You can learn more about the equation of the parabola in brainly.com/question/9390381

#LearnwithBrainly

5 0
2 years ago
Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are b
stellarik [79]
I believe the answer is 25% because 6/24 is 1/4 and 1/4= 25%
3 0
3 years ago
Sarah was thinking of a number. Sarah subtracts 1.7 from the number and gets an answer of 14. Form an equation with x from the i
Svetradugi [14.3K]

Answer:

x - 1.7 = 14

Step-by-step explanation:

Sarah thought of a number: x

Then she subtracted 1.7 FROM it: x - 1.7

and gets an answer if 14: x - 1.7 = 14

so the equation is x - 1.7 = 14

4 0
2 years ago
What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15
kari74 [83]
Y = (3/4)x + 1<span>y = 0.75x + 1 is also an acceptable answer</span>
6 0
3 years ago
Find (f-g)(x) for the following functions. f(x) = x2-2x-24 g(x) = x+4
elena55 [62]

Answer:

<h2>(f-g)(x) = x² - 3x - 24 </h2>

Step-by-step explanation:

f(x) = x² - 2x - 24

g(x) = x + 4

To find (f-g)(x) subtract g(x) from f(x)

That's

(f-g)(x) = x² - 2x - 24 - ( x + 4)

(f-g)(x) = x² - 2x - 24 - x - 4

Group like terms

We have

(f-g)(x) = x² - 2x - x - 24 - 4

Simplify

We have the final answer as

<h3>(f-g)(x) = x² - 3x - 28</h3>

Hope this helps you

3 0
3 years ago
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