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spin [16.1K]
3 years ago
10

Please help!!!! If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

f(1) = 2

Now, we find f(2) in function of f(1). So

f(1+1) = f(1)^2 - 3

f(2) = f(1)^2 - 3 = 2^2 - 3 = 1

Now, with f(2), we can find the value of f(3).

f(2+1) = f(2)^2 - 3

f(3) = f(2)^2 - 3 = 1^2 - 3 = -2

The value of f(3) is -2.

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Help please thanks :)
Galina-37 [17]

Answer:

270        anticlockwise

-90         clockwise

-450       clockwise

Step-by-step explanation:

The answer, going clockwise is -90. One leg of the angle is on the +x axis and the other is going down from the origin. The only other answer is 270 degrees. That angle is starting at the + x axis and goes anticlockwise. It has to travel to the dividing line between the 3rd and 4th quad.

-450 also works. Starting at 0 and going -360 clockwise leads you right back to the +x axis. -450 -(-360) leaves you  with -90. Minus 90 degrees puts you on the line between the 3rd and 4th quadrant which is the same place 270 and - 90 will land.

Everything else takes you other places. 450 for example is the +y axis and that is related to 90 degrees not - 90.

3 0
3 years ago
PLEASE HELP EASY MATH
Alexxx [7]

Answer:90

Step-by-step explanation:

When the sum of two angles is 90°, then the angles are known as complementary angles. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles.

7 0
3 years ago
Which one is the correct answer???
faust18 [17]

Answer:

D.

Step-by-step explanation:

f(x)·g(x)=(x³+2x²+3x+1)(4x-5)

           =4x^{4} +8x^{3} +12x^{2} +4x-5x^{3} -10x^{2} -15x-5

           =4x^{4} +3x^{3} +2x^{2} -11x-5

4 0
3 years ago
Can someone please give me the answer I will mark u brilliant
otez555 [7]

Answer:

4. option A ---> m = 65h

Step-by-step explanation:

According to the question it states that,

  • m --> number of miles traveled.
  • h --> <u>over</u> hours

Now if we look at the table we need to find the starting point, or in other words, how much distance traveled in 0 hours. So we would divide miles / hours.

*Four hours, the variable in the question and in the table says n, but the answer choices says h, so I am saying h for hours just if you were wondering on it.*

distance (m) / hours (h)

130 / 2 = 65

195 / 3 = 65

325 / 5 = 65

455 / 7 = 65

So, our starting point, or numbers of miles traveled in 0 hours was 65. Now let us form an equation.

m = 65h

I would appreciate if you give me the brainlist or not. Hope this helps and stay safe, happy, an healthy, thank you :) !!

3 0
3 years ago
Point M is located at (4,6) on a coordinate grid. Point M is translated 8 units to thr left and 9 units down to create point M'.
nata0808 [166]
Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!

We have the point 4,6. 4 is the x, and 6 is the y.

Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.

Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.

So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!

The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²

Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.

So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.

So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²

Solving it out, we first need to work within the parenthesis. Can you solve it?

Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²

8²= 64
9²= 81

64+81 = 145.

So, the distance between point M and point M' would be 145 units

Hope this helps!

If it does not, please let me know so i can try to help!

4 0
3 years ago
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