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2 years ago

I spent all my points into this so give it your best shot

Mathematics

1 answer:

Yakvenalex [24]2 years ago

5 0

Answer:

hlkhlkjhlkjhkjlvhv

Step-by-step explanation:

You might be interested in

F(x) = 3x^3 + 3x^2 - 4x - 4

dezoksy [38]

Answer:

x = − 1 , 2 √ 3 /3 , and − 2 √ 3 /3

Step-by-step explanation:

3x^3+3x^2-4x-4=0

By factoring, I can get simpler equations to get the roots.

x + 1 = 0, or x = -1

√ 3 x + 2 = 0, or − 2 √ 3 /3

√ 3 x - 2 = 0, or 2 √ 3 /3

6 0

3 years ago

Choose the option that best describes what it means to be 60% done with a project.

Anit [1.1K]

B. There are 10Things to do to finish the project.and you have done 6 of them

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%24a%2Ba%20r%2Ba%20r%5E%7B2%7D%2B%5Cldots%20%5Cinfty%3D15%24%24a%5E%7B2%7D%2B%28a%20r%29%5E%7B

riadik2000 [5.3K]

Let

$S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n$

where we assume |r| < 1. Multiplying on both sides by r gives

$r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}$

and subtracting this from $S_n$ gives

$(1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}$

As n → ∞, the exponential term will converge to 0, and the partial sums $S_n$ will converge to

$\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}$

Now, we're given

$a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a$

$a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}$

We must have |r| < 1 since both sums converge, so

$\dfrac{15}a = \dfrac1{1-r}$

$\dfrac{150}{a^2} = \dfrac1{1-r^2}$

Solving for r by substitution, we have

$\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)$

$\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}$

Recalling the difference of squares identity, we have

$\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}$

We've already confirmed r ≠ 1, so we can simplify this to

$\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15$

It follows that

$\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12$

and so the sum we want is

$ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}$

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

7 0

2 years ago

The slope is 35. The y-intercept is 550. what can you conclude?

MrRa [10]

Answer:

the formula is y = mx + b. (m) represents slope and (b) represents the intercept

Step-by-step explanation:

So with that formula and info given, you can form the equation y = 35x + 550

6 0

3 years ago

What does 9(3j-6) equal?

Bezzdna [24]

9(3j-6) = 27j - 54

<span>Note: a(b-c) = ab - ac</span>

8 0

2 years ago