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ale4655 [162]
3 years ago
6

HALP MEEEEEEEEEEEEEEE

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

  • -1, 9, - 21, 69

Step-by-step explanation:

<u>Given recursive formula:</u>

  • a₁ = -1
  • aₙ = - 3aₙ₋₁ + 6 for n ≥ 2

<u>The first 4 terms are:</u>

  • a₁ = - 1, given
  • a₂ = - 3*(-1) + 6 = 3 + 6 = 9
  • a₃ = - 3*(9) + 6 = - 27 + 6 = - 21
  • a₄ = - 3*(-21) + 6 = 63 + 6 = 69
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Describe the slope of the line<br><br> (please answer m=) aswell.
matrenka [14]
Answer
M would be 0 because the slope is 0
Explanation
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0
6 0
3 years ago
Write g(x) = 40x 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect sq
Furkat [3]

The specified function's vertex form is g(x) = 4(x+5)^2 - 100

<h3>What is vertex form of a quadratic equation?</h3>

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

<h3>What is a perfect square polynomial?</h3>

If a polynomial p(x) can be written as:

p(x) = [f(x)]^2

where f(x) is also a polynomial, then p(x) is called as perfect square polynomial

For the considered case, the polynomial specified is;

g(x)  = 40x + 4x^2

  • Case 1: Converting to vertex form

g(x)  = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\

Thus, the vertex form of the considered polynomial is g(x) = 4(x+5)^2 - 100

  • Case 2: Converting to standard form

Standard form of a quadratic polynomial is ax^2 + bx + c

Thus, we get: the considered polynomial in standard form as:

g(x) = 4x^2 +40x

  • Case 3: Factoring the first two terms of polynomial

g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)

  • Case 4: Forming a perfect square trinomial

The considered polynomial has only two terms, therefore, its not a trinomial.

Thus,  the specified function's vertex form is g(x) = 4(x+5)^2 - 100

Learn more about vertex form of a quadratic equation here:

brainly.com/question/9912128

3 0
3 years ago
Read 2 more answers
Otis tutors math students on sunday afternoons. he charges $35 for each of the first 10 students. he changed $40 for each additi
lions [1.4K]
For A it’ll be $280
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7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLEST
MArishka [77]

Answer:

16

Step-by-step explanation:

by expanding the bracket you'd have -41x+16

8 0
3 years ago
A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6)?
BARSIC [14]
If the sequence f is defined as

\mathsf{f(n+1)=f(n)-8}


then

\mathsf{f(n+1)-f(n)=-8}


As you can see above, the difference between two consecutive terms gives us a constant.


So f is actually an arithmetic progression (AP), and it has (– 8) as its common difference:

\mathsf{f(n)=f(1)+(n-1)\cdot d}\\\\ \textsf{where }\mathsf{d=-8.}


•   If f(1) = 100, then

\mathsf{f(6)=f(1)+(6-1)\cdot (-8)}\\\\ \mathsf{f(6)=100+5\cdot (-8)}\\\\ \mathsf{f(6)=100-40}\\\\ \boxed{\begin{array}{l} \mathsf{f(6)=60} \end{array}}\qquad\checkmark


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2190444


I hope this helps. :-)

3 0
3 years ago
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