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velikii [3]
3 years ago
14

If a sequence us defined recursively by f(0)= 3 and f (n+1)= -f (n) +5 for n>_ 0 then f (2) is equal to?

Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0
F(1) = -f(0) +5 = -3 +5 = 2
f(2) = -f(1) +5 = -2 +5 = 3

f(2) = 3

_____
The sequence appears to alternate between 3 and 2.
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An expression 20x + 35y What is the greatest common factor
jekas [21]

Answer:

5

Step-by-step explanation:

20x   = 2  \times 2 \times 5 \times x\\ 35y = 5 \times 7 \times y

<em>G</em><em>CF</em><em> </em><em>=</em><em> </em><em>5</em>

8 0
3 years ago
This question is down below. The picture attached below. <br> Thanks.
Ostrovityanka [42]

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1g^{2}+30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1g^{2}+30g-1200

0.1g^{2}-30g+1200+665.60=0

0.1g^{2}-30g+1865.60=0

Divide the above equation by 0.1.

g^{2}-300g+18656=0

Solving for g we get,

g=[300±\sqrt{(300)^{2}-4*1*18656 }]/2*1

g=[300±\sqrt{90000-74624}]/2

g=[300±\sqrt{15376}]/2

g=(300±124)/2

g=(300+124)/2       , g=(300-124)/2

g=424/2,  g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1g^{2}+30g-1200.

-0.1g^{2}+30g-1200=1500

0.1g^{2}-30g+1500+1200=0

0.1g^{2}-30g+2700=0

Dividing equation by 0.1.

g^{2}-300g+27000=0

Solving the equation for finding value of g.

g=[300±\sqrt{300^{2} -4*1*27000}]/2*1

=[300±\sqrt{90000-108000}] /2

=[300±\sqrt{-18000}]/2

Because \sqrt{-18000} comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Learn more about equation at brainly.com/question/2972832

#SPJ1

7 0
2 years ago
SOMEONE HELP ME HURRY ASAP PLEASE ILL CASHAPP PLEASE HELP
Colt1911 [192]

Answer:

48 il take brainliest instead lol

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
There are two less nickels than dimes, and as many quarters, as nickels and dimes together. The total amount of money is $5.25.
katen-ka-za [31]
N=d-2
q=n+d =>q=(d-2)=q=2d-2
25q+5n+10d=525
replace q and n with d
25(2d-2) +5(d-2)+10d=525
50d-50+5d-10+10d=525
65d=585
d=9
n=7
q=16

3 0
3 years ago
If cot theta = 3/2, what is the value of csc theta?
Arturiano [62]

The value of csc theta is \frac{3. 61}{2}

<h3>How to determine the value</h3>

It is important to note that the ratio for cot is given as;

Cot theta = adjacent/opposite

cosec theta = hypotenuse/opposite

If cot theta = 3/2, then

Adjacent = 3

Opposite = 2

Using Pythagoras theorem, we have

Hypotenuse square = opposite + adjacent square

H = \sqrt{2^2 + 3^2}

H = \sqrt{4 + 9}

H = 3. 61

Cosec theta = \frac{3. 61}{2}

Thus, the value of csc theta is \frac{3. 61}{2}

Learn more about trigonometric ratio here:

brainly.com/question/13276558

#SPJ1

6 0
2 years ago
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