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Natalija [7]
3 years ago
7

The nth term of a quadratic sequence is:

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0
We can work out the first three terms of this quadratic equation with substitution.
The first term of this sequence is where n=1, we can substitute 1 in for n
y=1^2+2(1)-4
y=1+2-4
y=-1
We can do this for the next two terms as well
y=2^2+2(2)-4
y=4+4-4
y=4
For the last term:
y=3^2+2(3)-4
y=9+6-4
y=11
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Use Natural Logarithms to solve the equation
Rus_ich [418]

Answer:

A) 0.106

Step-by-step explanation:

8e^3x + 4 = 15

Subtract 4 from each side

8e^3x + 4-4 = 15-4

8e^3x  = 11  

Divide each side by 8

8/8e^3x = 11/8

e^(3x) = 11/8

Take the natural log of each side

ln(e^(3x)) = ln(11/8)

3x = ln(11/8)

Divide by 3

3x/3 = 1/3 ln(11/8)

x = 1/3 ln(11/8)

x =.106151244

To the nearest thousandth

x = .106

7 0
3 years ago
When is the product of two nonzero integers less than or equal to both of the two factors
Sergeu [11.5K]
1) if they're both 1:

1 x 1 = 1: they preoduct is equal to both factors!

2) if one of them is negative (but not 2!)

for example: -2 and 6: the product is -12, and it's less than both -2 and  6!!!
5 0
3 years ago
Donna has a $300 loan through the bank she is charged a simple rate The total interest she paid on the loan was $63 As a percent
Black_prince [1.1K]

Answer:

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Step-by-step explanation:

($63*100%) / $300 = 21%

3 0
2 years ago
Two solid metal spheres have masses of 5 kg and 135 kg respectively. If the radius of the smaller one is 4 cm, find the radius o
Cerrena [4.2K]

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

8 0
2 years ago
a tennis racket normally costs $80. the tennis racket is on sale for 40% off. what is the sale price of the tennis racket.
lbvjy [14]

Answer:$48.00


Step-by-step explanation:(80 x 40)/100 = $32.00

80 - 32.00 = $48.00


8 0
3 years ago
Read 2 more answers
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