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Travka [436]
2 years ago
15

Which function is equivalent to g ( x ) = x 2 + 15 x - 54?

Mathematics
2 answers:
svetoff [14.1K]2 years ago
6 0

Answer:

I have solved on my own.

contains the answer to your question.

MrRa [10]2 years ago
5 0

Answer:

g(x) = (x+18)(x-3)

Step-by-step explanation:

  • g(x) = x²+15x-54
  • = x²+18x-3x+54
  • = x(x+18) -3(x+18)
  • g(x) = (x+18)(x-3)
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sergeinik [125]
I think the correct answer is P=3
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2 years ago
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Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
Rachel runs 6 miles in 45 minutes. At the same rate how many minutes would she take to run 4 miles?
exis [7]
Rachel would take 30 minutes to run in 4miles
7 0
3 years ago
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Please help me asap with this question
Luden [163]

Answer:

(-2a, -2b)

Step-by-step explanation:

Using the midpoint formula, the coordinates of E are \left(\frac{-3a-a}{2}, \frac{b-5b}{2} \right)=(-2a, -2b).

7 0
9 months ago
Find the value of this pronumeral
Rina8888 [55]
<u>Answer</u>:

x = 70 ; 

y = 50  .
_____________________________________________________
Explanation:
_____________________________________________________
y = 50 ; since vertical angles are congruent.


180 – (50 + 60) = x ;  since all angles in any triangle add up to 180 degrees. 

↔  x = 180 – (50 + 60) = 180 – (110) = 70.
_____________________________________________________
3 0
3 years ago
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