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Delicious77 [7]
2 years ago
7

Write in vertex form f(x)=x^2+12x+34

Mathematics
1 answer:
svp [43]2 years ago
8 0

Answer:

(-6, -2)

Step-by-step explanation:

f(x) =  {x}^{2}  + 12x + 34

= f(x) =  {1x}^{2}  + 12x + 34

= a = 1, b = 12

= x =  -  \frac{12}{2 \times 1}

= x =  -  \frac{12}{2}

= x = -6

= f(x) =  {x}^{2}  + 12x + 34.. =  - 6

= f( - 6) =  - 2

= (-6, -2)

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3 0
2 years ago
Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop m
zlopas [31]

Answer:  Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.

Rate of increment = 5% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2

Hence, Option 'd' is correct.

3 0
2 years ago
How tall is a tree which is 15 feet shorter than a pole that is 3 times as tall as the tree?
Citrus2011 [14]
<h2>Height of tree is 7.5 feet</h2>

Step-by-step explanation:

Let t be the height of pole.

Given that the tree is 5 feet shorter than a pole.

Height of pole = t + 15

Also given that the pole is 3 times as tall as the tree.

Height of pole = 3t

So we have

              t + 15 = 3t

                 2t = 15

                   t = 7.5 feet

Height of tree = 7.5 feet

7 0
3 years ago
What is the vertex of<br> f(x) = (x - 7)?
valina [46]
Answer: This equation does not have a vertex.

If the equation is not curved or composed of two straight lines it does not have a vertex.

If you need further explanation let me know. :)
3 0
3 years ago
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