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Roman55 [17]
2 years ago
8

Which of the following points is in the solution set of y < x2 - 2x - 8?

Mathematics
1 answer:
777dan777 [17]2 years ago
4 0

The solution set of the given inequality has a domain of (-∞, ∞) and the vertex(h,k) = (1, -9)

<h3>What is the solution set for inequality?</h3>

The solution set for inequality is the set of all solutions for which the inequality is defined. It can also be represented in an interval notation.

Given that:

  • y < x² - 2x - 8

By rewriting the equation in the parabola standard form 4p(y-k) = (x - h)², we have:

\mathbf{4\times \dfrac{1}{4}(y-(-9)) = (x-1)^2}

Therefore, the parabola properties are:

  • The solution set of the domain is (-∞, ∞)
  • Vertex(h,k) = (1, -9)
  • Focal length |p| = 1/4

Learn more about the solution set of inequality here:

brainly.com/question/1496731

#SPJ1

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If the federal budget for 2007 was 2.8 trillion dollars, how much money did the government spend per second? Please help!
diamong [38]

Solution:

we are given that

The federal budget for 2007 was 2.8 trillion dollars.

we have been asked to find

how much money did the government spend per second?

First we will find the number of seconds in one year

Number of seconds in 1 year=365*24*60*60=31536000 Seconds

Now we will dive the amount by the total number of seconds, we get

\frac{2,800,000,000,000}{31536000} =88787.41755 dollar

Hence the government is spending approximately 88787 dollars per second.

5 0
3 years ago
An architect makes a scale drawing of a building. The scale used is 1 cm represents 20 m. Calculate the actual width of the buil
AleksandrR [38]

Answer: 490 m

Step-by-step explanation:

3 0
3 years ago
WEGNERKOLMP PLEASE ANSWER THIS MATH QUESTION !!! 20 POINTS AND BRAINLIEST !!
jarptica [38.1K]

Answer:

c  tomato 2.5

pepper = 3.5

Step-by-step explanation:

Let t= the price of tomato plants

p  =the price of pepper plants

3t+ 4p = 21.50

5t+ 2p = 19.50

Multiply the second equation by -2

-10t -4p =-39

Add this to the first equation to eliminate p

-10t -4p =-39

3t+ 4p = 21.50

---------------------

-7t    = -17.5

Divide by -7

t = 2.5

Now find p

5t+ 2p = 19.50

5( 2.5) + 2p = 19.50

12.5+2p = 19.50

Subtract 12.5 from each side

2p =7

p =3.5

We want the price of 1 tomato and 1 p

3.5+2.5

4 0
3 years ago
Read 2 more answers
Plz help me I dont want to fail​
astra-53 [7]

Answer:

ksjnfkjabfjkbfkjbdkjfbjdbjbdsjvbsdhbcjhdbvhsdjv

Step-by-step explanation:

sorry I really need points-

5 0
3 years ago
Which equation can be used to find N, the distance between 3/8 and 61/64 on the number line?
postnew [5]

Answer:

D

Step-by-step explanation:

Fractions are much easier to compare when they share a single denominator.  Multiplying the numerator and denominator both of 3/8 by 8, we get 24/64.  Then the distance between 3/8, or 24/64, and 61/64 is:

N = 61/64 - 24/64

Answer D is correct.  3/8 + N = 61/64 is equivalent to the above result.

3 0
3 years ago
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