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WARRIOR [948]
3 years ago
10

WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!

Mathematics
2 answers:
Vinvika [58]3 years ago
6 0

Answer:

1,1,2,3,5

part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...

the "difference" is definitely not the same, so three is out..

4 is the closest, but the ratio is not the same, there is a trend in the ratio..

this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational

Step-by-step explanation:

OlgaM077 [116]3 years ago
3 0

Step-by-step explanation:

For the 1st picture,

The 2nd option is the answer.

Let say we have

a_{3}

Replace it into the recursive formula.

a_{3} =  a_{3 - 2} + (a)   _{3 - 1}

We are given a,1 and a,2 so the 3rd terms has to be

2

So the second option is the answer.

For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.

Infinite means going on forever

The fourth option is the answer.

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They won 11 games is the answer
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4 years ago
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y 2 ( y 2 − 4 ) = x 2 ( x
yawa3891 [41]

Answer:

y = -2

Step-by-step explanation:

To find the equation of the tangent we apply implicit differentiation, and then we take apart dy/dx

The equation is

y^2(y^2-4)=x^2(x^2-5)

implicit differentiation give us

\frac{d}{dx}[y^2(y^2-4)=x^2(x^2-5)]\\\\2y\frac{dy}{dx}(y^2-4)+y^2(2y\frac{dy}{dx})=2x(x^2-5)+x^2(2x)\\\\4y^3\frac{dy}{dx}-8y\frac{dy}{dx}=2x^3-10x+2x^3\\\\\frac{dy}{dx}=\frac{4x^3-10x}{4y^3-8y}

But we know that

m=\frac{dy}{dx}\\y=mx+b

Hence, for the point (0,-2) and by replacing for dy/dx

m=\frac{dy}{dx}_{(0,-2)}=\frac{4(0)+10(0)}{4(-2)^3-8(-2)}=0

Hence m=0, that is, the tangent line to the point is a horizontal line that cross the y axis for y=-2. The equation is:

y=(0)x+b = -2

HOPE  THIS HELPS!!

4 0
4 years ago
2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How m
d1i1m1o1n [39]

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, x+y=22----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

0.75x+0.40y=11.95------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

x+y=22

y=22-x----------------(3)

put y value in equation 2.

0.75x+0.4(22-x)=11.95

0.75x+0.4\times 22-0.4x=11.95

0.75x+8.8-0.4x=11.95

0.75x-0.4x=11.95-8.8

0.35x=3.15

x=\frac{3.15}{0.35}

x=9

Now substitute x value in equation 3.

y=22-9

y=13

So, he buy 13 pencils.

5 0
3 years ago
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