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3 years ago

What are the solutions of x^2-4x-9=29

Mathematics

2 answers:

sattari [20]3 years ago

4 0

Answer: x =(4-√168)/2=2-√ 42 = -4.481

x =(4+√168)/2=2+√ 42 = 8.481

Step-by-step explanation:

Liono4ka [1.6K]3 years ago

3 0

Answer:

x = -4.48, 8.48 to the nearest hundredth.

Step-by-step explanation:

x^2 - 4x - 9 = 29

Completing the square:

(x - 2)^2 - 4 - 9 = 29

(x - 2)^2 = 29 + 13 = 42

x - 2 = +/-√42

x = 2 +/-√42

x = 8.48, -4.48 .

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3 years ago

Select all of the following tables which represent y as a function of x.x 5 10 11y 3 9 15x 5 10 11y 3 9 9x 5 10 10y 3 9 15

11Alexandr11 [23.1K]

Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

Table 1

x 5 10 11

y 3 9 15

Table 2

x 5 10 11

y 3 9 9

Table 3

x 5 10 10

y 3 9 15

Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

Table 1

x 5 10 11

y 3 9 15

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

Table 2

x 5 10 11

y 3 9 9

Note that the x rows are unique as no value were repeated;

Hence, Table 2 is a function

Table 3

x 5 10 10

y 3 9 15

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7 0

3 years ago

a geometric series where the first term is -12, the last term is -972, and each term after the first is triple the previous term

Luba_88 [7]

Answer:

the geometric series is a(n) = -12(3)^(n-1)

Step-by-step explanation:

"Triple" denotes multiplication by 3. Thus, the common factor here is 3.

The general formula for a geometric series is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common ratio.

Here, we have a(n)= (-12)(3)^(n-1) = -972.

We need to solve this for n, which represents the last term.

The first step towards solving for n is to divide both sides by -12:

3^(n-1) = 81

To solve for n-1, rewrite 81 as 3^4. Then we have:

3^(n-1) = 3^4, implying that (n-1) = 4 and that n = 5.

Then we know that it is the 5th term that equals -972.

In summary, the geometric series is a(n) = -12(3)^(n-1).

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3 years ago