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3 years ago

Algebra 2 ————— y = -2(x - 3)^2 + 4 Factor and Solve.

Mathematics

1 answer:

ozzi3 years ago

4 0

Y=-2*(x-3)(x-3)+4
y=-2*(x^2-6x+9)+4
y=-2x^2+12x-18+4
y= -2x^2 + 12x -14

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

4 years ago

HELP PLEASE I NEED THIS FOR GRADUATION

Alexxandr [17]

√324 * √75 = √24300 = 90√3
so
90√3 / 9 = 10√3

answer is
D. last one 10√3 irrational

8 0

3 years ago

8 k+d use k=2 and d=3

sveta [45]

8×2=16

16+d

d=3

16+3=19

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3 years ago

U'LL GET BRAINLIEST IF U ANSWER FIRST

Tanzania [10]

Answer:

$\boxed{\bold{a+2b}}$

Explanation:

Simplify expression to find its equivalent

Expand $\bold{2\left(a+2b\right): \ 2a+4b}$

= $\bold{2a+4b-a-2b}$

Simplify $\bold{2a+4b-a-2b: \ a+2b}$

= $\bold{a+2b}$

Mordancy.

6 0

3 years ago

HELP ASAP!

aliina [53]

Answer:

i dont know lol

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3 years ago