make a table and graph the solutions of each equation y=3x+1

Step-by-step explanation:

(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ.  Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.

(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ

Divide.

Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)

Rewrite the second fraction using negative exponent.

Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹

Take the limit of both sides as n approaches infinity.

lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹

Substitute with φ.

φ = 1 + φ⁻¹

Solve.

φ² = φ + 1

φ² − φ − 1 = 0

φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)

φ = (1 ± √5) / 2

Since the ratio can't be negative:

φ = (1 + √5) / 2

Answer:

31

Step-by-step explanation:

The correct answer is 31.

Since 7 is greater than 5, you add a 1 in replace of the 0 to get 31.

Answer:

31

Step-by-step explanation:

30.76 is more then 30.50 therefore  you round forward and get 31.

Answer:

0.3

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

1/5=4/20

7/20-4/20=3/20

Hope this helps!

Answer:

[tex]100x^{2} +200x+5[/tex]

Step-by-step explanation:

Answer:

x ≤ 3

Step-by-step explanation:

step 1, move -5 on the left side to the right side and change the sign then add up with 55

step 2, multiply 20 by (10 - 13x) by the associative property

step 3, add the coefficient of the variable x on the left side and move 20 to the right side by changing its sign

step 4, move -34x to the left side by changing the sign then add up with -17x

step 5, to find the x value, move the x coefficient to the right side and divide it, you get the value

Answer:

Correct choice: C. 74.5

Step-by-step explanation:

Trigonometric Ratios

In every right triangle (those who have an internal angle of 90°), the six trigonometric ratios are valid. They relate the other internal angles with the lengths of the triangle.

The skateboard, the wall, and the ground form a right triangle. We need to find the measure of the angle formed by the skateboard with the ground. Let's call it β. In a right triangle, the cosine of an angle is defined as

[tex]\displaystyle \cos\beta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

The adjacent leg of β is the side with length 8 in, and the hypotenuse is the length of the skateboard, 30 in, thus:

[tex]\displaystyle \cos\beta=\frac{8}{30}}=0.267[/tex]

Using a digital calculator we find:

[tex]\beta=\cos^{-1}(0.267)[/tex]

[tex]\beta=74.5^\circ[/tex]

Correct choice: C. 74.5

Answer:

X=8

Step-by-step explanation:

JK would equal 28, since it basically is double the side of that triangle. So now we have the equation, 2x+12=28. Now we solve using inverse operation. 28-12=16 and then 16 divided by 2 is 8, so x=8.

The required simplified value of x is 8, for the given triangle.

A midpoint is a point on the line whose distance from both ends of the line is equal.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The property of a triangle states that the line joining the midpoints of the two adjacent sides is equal to half of the third side.
So,
JK = 2NO
2x + 12 = 24
x = 16 / 2
x  = 8

Thus, the required simplified value of x is 8, for the given triangle.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2

Answer:

3,5,7

Step-by-step explanation:

odd numbers is a multiple of three, at least one of them can't be prime

hope this helps  there is 1 of them

Answer:

C is your answer

Answer:

e^2v/2a^3y^7

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

f(4) = 3(4) -2

7 - 2 = 5

Answer:

12,621

Step-by-step explanation:

when rounding there asking for the thousands therefore you have to look at the hundreds place and since there's a six in the hundreds place the one is going to change to a 2 the answer is 12,621

Answer:B

Step-by-step explanation:mark me as brainliest

Answer:

c

Step-by-step explanation:

288/6 = 48

Hope this helps

Answer:

c.

Step-by-step explanation:

For ratio, u should divide

So, 288/6 = 48:1 or 48/1

6 times 48=288

Pls mark me brainliest

Answer: Yes; 63 • 73 is equal to (6 • 7)3 or 423.

Step-by-step explanation:This is the answer because if you multiply the 6 and 7 you get 42 and you leave the exponent which in this case is 3 leaving you with 42^3

Answer:

the answer to the question is 0.96.

Answer:

1 inch

Step-by-step explanation:

the 9 is in the tenths place.  5 or more you need to round up.

multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation

multiply the top equation by 3, multiply the bottom equation by -2, then add the equations

Answer:

50%

Step-by-step explanation:

Percent change = {(New-Old)/(Old)}*100%

So,

{(45-30)/(40)}*100

=(15/30)*100

=50%

Answer:

c b a

Step-by-step explanation:

Answer:

cba

Step-by-step explanation:

sorry if its wrong

Answer: It's B.

Step-by-step explanation: I took the test.

Answer:

Step-by-step explanation:

1) 2^2 + 2^2 = c^2

4 + 4 = c^2

8 = c^2

c = sqrt8

2) 2^2 + 3^2 = c^2

4 + 9 = c^2

13 = c^2

c = sqrt13

3) 10^2 + 4^2 = c^2

100 + 8 = c^2

108 = c^2

c = sqrt108

4) 1^2 + 5^2 = c^2

1 + 25 = c^2

26 = c^2

c = sqrt26

5) 3^2 + 1^2 = c^2

9 + 1 = c^2

10 = c^2

c = sqrt 10

6) 9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = sqrt162

Answer:

96000 corn

Step-by-step explanation:

80,000/43500 = 1.84

1.84/0.5 = 3.678

3.678 x 26100 = 96000

Answer:

3g can mean several things, depending on the context of the problem. g can be a variable, but it can also mean "grams"

Step-by-step explanation:

Answer:

x equal four-teen... I'm pretty sure brainliest plsss

Answer:

C : 67°

Step-by-step explanation:

The angles are equal to each other therefore they would all be the same measurement which is 67°

Hope this helps

Answer:

The answer is C.

Hope this helps