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Phantasy [73]
3 years ago
8

2a²+5b² a=-6 b=2 Please help!!

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

2a^2+5b^2

2(-6)^2+5(2)^2

2(36)+5(4)

72+20

92

Hope this helps ;)

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what is the sum of a 7-term geometric series if the first term is negative 11 the last turn is -45056 and the common ratio is -4
patriot [66]
For a geometric sequence with common ratio r, we have

a_n=a_{n-1}r


that is, the n-th term in the sequence is the product of the previous term and the common ratio r. So

a_n=a_{n-1}r=a_{n-2}r^2=\cdots=a_1r^{n-1}

Then the sum of the first 7 terms is

S_7=\displaystyle\sum_{n=1}^7a_n=a_1+a_2+\cdots+a_7
\implies S_7=a_1+a_1r+\cdots+a_1r^6

Notice that

S_7r=a_1r+a_1r^2+\cdots+a_1r^7

so we can subtract this modified sum from S_7 to get

S_7-S_7r=S_7(1-r)=a_1-a_1r^7\implies S_7=a_1\dfrac{1-r^7}{1-r}

We're told that a_1=-11 and r=-4, so the sum of the first 7 terms is

S_7=(-11)\dfrac{1-(-4)^7}{1-(-4)}=144,188
3 0
3 years ago
Jasmine wants to use her savings of $1,128 to buy video games and music cds. The total price of the music cd she bought was $72.
Firlakuza [10]
24 video games.

First you subtract $72 from $1,128 then you divide $43 from $1,056 and you get 24.5581395
So the most video games jasmine can buy is 24.
8 0
3 years ago
Read 2 more answers
Steve is buying a sandwich for lunch and some fresh fruit juice for his friends. The sandwich costs $3.92 and the fruit juice co
Svetradugi [14.3K]

Answer:

D

Step-by-step explanation

2+2-4

4 0
3 years ago
Answer the question in the picture
Svet_ta [14]
<h3>Answer:</h3>
  • left picture (bottom expression): -cot(x)
  • right picture (top expression): tan(x)
<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

_____

You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)

... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)

Then you have ...

\dfrac{\cos{2x}-\cos{4x}}{\sin{2x}+\sin{4x}}=\dfrac{2\sin{3x}\sin{x}}{2\sin{3x}\cos{x}}=\dfrac{\sin{x}}{\cos{x}}=\tan{x}

and ...

\dfrac{\cos{2x}+\cos{4x}}{\sin{2x}-\sin{4x}}=\dfrac{2\cos{3x}\cos{x}}{-2\cos{3x}\sin{x}}=\dfrac{-\cos{x}}{\sin{x}}=-\cot{x}


6 0
3 years ago
8. Write an inverse variation equation relating x and y when x = 18 and y = 4.5. (64) help pliz​
mr Goodwill [35]

Answer:

answer are

a.k=13.5;13.5y=x

b.k=1.5;y=1.5x

c.k=1.5;y=1.5/x

d.k=13.5;xy=13.5

3 0
3 years ago
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