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2 years ago

Can someone help me with this

Mathematics

1 answer:

NISA [10]2 years ago

6 0

Answer:

19-6j/5

Step-by-step explanation:

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What is the standard form of the function F? f(x)=4(x+6)^2+5

pashok25 [27]

Answer:

$f(x) = 4x^2+24x+149$

Step-by-step explanation:

Expand the binomial and collect terms.

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3 years ago

HURRY!!! PLEASE HELP WITH QUESTIONS!!!! WILL MAKE BRAINIEST ANSWER!!!!

GREYUIT [131]

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3 years ago

Read 2 more answers

Consider the infinite geometric series (∞/Σ/n=1) * -4(1/3)^{n-1}.

raketka [301]

The first four terms of the series probably refer to the first four partial sums.

$\displaystyle\sum_{n=1}^1-4\left(\frac13\right)^{n-1}=-4\left(\frac13\right)^{1-1}=-4$
$\displaystyle\sum_{n=1}^2-4\left(\frac13\right)^{n-1}=-\frac{16}3$
$\displaystyle\sum_{n=1}^3-4\left(\frac13\right)^{n-1}=-\frac{52}9$
$\displaystyle\sum_{n=1}^4-4\left(\frac13\right)^{n-1}=-\frac{160}{27}$

which you can compute either by adding one term at a time, or using the well-known formula,

$\displaystyle\sum_{n=1}^kar^{n-1}=a\frac{1-r^{k+1}}{1-r}$

(I can provide a link to a derivation I gave in a nearly identical question in the comments)

The series converges as $k\to\infty$ if and only if $|r|$ , which is certainly the case here, since $-1$ .

Extrapolating from the formula above, the sum of the convergent series is

$\displaystyle\sum_{n=1}^\infty ar^{n-1}=\frac a{1-r}$

so the sum for this series is $\dfrac{-4}{1-\frac13}=-6$ .

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3 years ago

F(x)=6x+2 and g(x)=-9x-5 Find the product of f and g.

Delicious77 [7]

Answer: See below

Explanation:

(f • g)(x) = (6x+2)(-9x-5)
(f • g)(x) = 54x^2 - 30x - 18x - 10
(f • g)(x) = 54x^2 - 48x - 10

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3 years ago

2. When three or more lines intersect at one point, they are

joja [24]

When three or more lines intersect in one point they are Concurrent. The point at which they intersect at is called the Point of Concurrency.

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2 years ago