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djverab [1.8K]
3 years ago
13

Find f(-3) if f(x) = x^2.

Mathematics
1 answer:
Goryan [66]3 years ago
6 0

Answer:

f(-3)  = 9

Step-by-step explanation:

f(x) = x²

given x = (-3)

f(-3) = (-3)² = 9

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Determine whether the sequence converges or diverges. If it converges, find the limit. [Hint:
Zepler [3.9K]

(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.

(b) converges; we have

4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)

As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.

(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.

6 0
3 years ago
Whats a line passing<br> through the<br> points (0, 0) and<br> (5,-7)?
Ipatiy [6.2K]

Answer:

y = -7/5x

Step-by-step explanation:

First, we need to use the two points to find the slope.

m = y₁ - y₂ / x₁ - x₂

m = -7 - 0 / 5 - 0

m = -7/5

Now we know that the slope is -7/5. Now we'll substitute the information we've gathered into the point-slope form equation to get an equation.

y - y₁ = m(x - x₁)

y - (-7) = -7/5(x - 5)

y + 7 = -7/5x + 7

y = -7/5x

Therefore, the equation of the line is y = -7/5x.

7 0
3 years ago
whats th awnser if -(6×-5)=-6×+13 is that no solution,infinite solution,×=17/12,×=-17/12 please help me
Luba_88 [7]
Expanding the parentheses:-
-6x + 30 = -6x + 13
    +6x         + 6x

30 = 13
which is obviously absurd so the answer is No Solution.
4 0
3 years ago
Rachel took clothes to the cleaners three times last month. First, she brought 3 shirts and 1 pair of slacks and paid $11.46. Th
balandron [24]

Answer:

  • $2.49 each shirt
  • $3.99 each slacks
  • $7.49 each sports coat

Step-by-step explanation:

If we let s, p, c represent the cost of cleaning the shirts, pants, and coats, respectively, the problem information lets us write three equations:

  3s +1p +0c = 11.46

  5s +2p +1c = 27.92

  5s +0p +1c = 19.94

__

A variety of methods and tools are available for solving these equations. We can do it "by hand" using elimination and substitution.

Subtracting the 3rd equation from the 2nd, we get ...

  (5s +2p +c) -(5s +c) = (27.92) -(19.94)

  2p = 7.98

  p = 7.98/2 = 3.99

Substituting this value into the first equation gives ...

  3s +1(3.99) = 11.46

  3s = 7.47 . . . . . . . . . . subtract 3.99

  s = 7.47/3 = 2.49

Substituting this value into the last equation gives ...

  5(2.49) +c = 19.94

  c = 7.49 . . . . . . . . . . . subtract 12.45

Rachel was charged ...

  $2.49 for each shirt

  $3.99 for each pair of slacks

  $7.49 for each sports coat

4 0
3 years ago
Read 2 more answers
Could you answer this question! thanks 15 points!
Veronika [31]

Answer:

okkkkkkkkkkkkkkkkkkkkkk

3 0
3 years ago
Read 2 more answers
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