MATHEMATICS HIGH SCHOOL

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Answers

Answer 1
Answer:

Answer:

f(n+1)=f(n)-99.4

Step-by-step explanation:

We are given a sequence as:

 99.4,0,-99.4,-198.8, and so on

We can see that the sequence is constantly getting decreased by -99.4

i.e. f(1)=99.4

Then, f(2)=f(1)-99.4

              =99.4-99.4

             =0

f(3)=f(2)-99.4

   =0-99.4

   =-99.4

Hence, the recursive formula is:

 f(n+1)=f(n)-99.4
Answer 2
Answer: f(n + 1) = f(n) – 99.4, n ≥ 1

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If the angles of a triangle are 10 45 and 23 what is the perimerter of the triangle

Answers

Answer:

No Solutions

Step-by-step explanation:

In a triangle, the sum of the angles has to be 180 degrees. It also is impossible to find the length of sides without at least one side, since the range of lengths is practically infinite. There are no solutions to this problem.

Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

12.0 units
12.4 units
15.0 units
15.4 units

Answers

AC = √ (-5)² + (4)²
AC = √ 25 + 16
AC = √41
AC = 6.40  This is the measure of the hypotenuse.

long leg = 5      distance from -2 to +3 (x - axis)
short leg = 4     distance from 2 to 6 (y - axis)

perimeter = 6.4 + 5 + 4 = 15.4 units

Sally got a new phone plan that includes limited data of 10 GB for $85, tax included. She has to pay $15 for each additional GB used if she goes over her 10 GB allowed. Part A: Write an equation to describe her data plan where x represents each additional GB used.

Answers

Answer:

Step-by-step explanation:

10Gb = 85 dollars

each 1gb =15 dollars

15 times x = 85

What two numbers multiply together equal -40 add together to equal positive 6

Answers

-4 and 10 add to 6 and have a product of -40.

Hope this helps :)

A polynomial function has a root of -5 with multiplicity 3, a root of 1 with multiplicity of 2, and a root of 3 with multiplicity 7. If the function has a negative leading coefficient and is of even degree which statement about the graph is true?

a) function is positive on (-∞,-5)
b) fuction is negative on (-5,3)
c) function is positive on (-∞,1)
d) function is negative on (3,∞)​

Answers

Answer:

  d)  function is negative on (3,∞)​

Step-by-step explanation:

The even degree and negative leading coefficient tell you that the function is negative as x ⇒ ±∞. (Selections A and C cannot be correct.)

The odd multiplicity tells you the function crosses the x-axis at x=-5 and x=3, so will be non-negative between those values. (Selection B cannot be correct.)

The function is negative on (3, ∞).

Answer:

The graph of the function is positive on (-co, -5).

The graph of the function is negative on (3,co).

Step-by-step explanation:

We know that the roots are in: -5, 1 and 3.

and after 3, the graph is in the negative side, so between 1 and 3 the graph must be in the positive side, between -5 and 1 the graph must be in the negative side, and  between -inifinity and -5 the graph must be in the positive side:

So the statements that are true are:

The graph of the function is positive on (-co, -5).

The graph of the function is negative on (3,co).

What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics

Answers

Answer:  The correct option is (D) 9x^2-12y^2-11x.

Step-by-step explanation:  We are given to find the following sum of the polynomials :

S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.

The sum of the polynomials in (i) is as follows :

S\n\n=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\n\n=8x^2-9y^2-4x+x^2-3y^2-7x\n\n=(8+1)x^2-(9+3)y^2-(4+7)x\n\n=9x^2-12y^2-11x.

Thus, the required sum of the polynomials is9x^2-12y^2-11x.

Option (D) is CORRECT.
(8x^2-9y^2-4x)+(x^2-3y^2-7x)

First, get rid of the parentheses and combine like terms

(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)

9x^2-12y^2-11x is your answer
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