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otez555 [7]
3 years ago
5

For the function f(x) = -2(x + 3)^2 -1, identify the vertex, domain, and range. A.) The vertex is (3, -1), the domain is all rea

l numbers, and the range is y ≥ -1. B.) The vertex is (3, -1), the domain is all real numbers, and the range is y ≤ -1. C.) The vertex is (-3, -1), the domain is all real numbers, and the range is y ≤ -1. D.) The vertex is (-3, -1), the domain is all real numbers, and the range is y ≥ -1
Mathematics
1 answer:
Vlada [557]3 years ago
8 0
Ok so domain is all allowed numbers look at deonomenator and don't allow any numbers that will make it zero none that means domain=all real numbers vertex in form y=a(x-h)^2+k (h,k)=vertex we have y=-2(x+3)^2-1 h=-3 k=-1 vertex=(-3,-1) range the vertex opens down so max is y=-1 y≤-1 domain is all real vertex is (-3,-1) y≤-1 C
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How to solve this? Please help!
marta [7]
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3 years ago
Brandon has a playlist with 83 hip-hop and pop songs. There are 15 more hip-hop songs than pop songs. How many pop songs are on
kogti [31]

Using a system of equations, it is found that there are 34 pop songs are on the playlist.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of hip-hop songs.
  • Variable y: Number of pop songs.

Brandon has a playlist with 83 hip-hop and pop songs, hence:

x + y = 83.

There are 15 more hip-hop songs than pop songs, hence:

x = 15 + y.

Replacing the second onto the first equation:

x + y = 83.

15 + y + y = 83.

2y = 68.

y = 34.

There are 34 pop songs are on the playlist.

More can be learned about a system of equations at brainly.com/question/24342899

6 0
2 years ago
Wai Kit had $45 more than Cheryl and 0.25 of what Zheng Yi had. If they had $510 altogether, how much less money did Cheryl have
GenaCL600 [577]

Step-by-step explanation:

Wai 1unit+45

Cheryl 1unit

Zheng 4units+180

Altogether 6units+225=510

6units = 510-225

6units=285

1unit=285÷6

= $47.5

So Wai =47.5+45 = 92.5

Cheryl =47.5

Zheng =4×47.5+180 =370

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Answer $322.5

4 0
2 years ago
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Artemon [7]

Answer:

The other length of the leg is <em>8 feet.</em>

Step-by-step explanation:

To find the answer we have to find what<em> 10</em> and <em>6 is squared.</em>  <em>10 x 10 = 100</em>.  

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6a-2(a-1)
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