All categories

2 years ago

Consider the equation:

Mathematics

1 answer:

Yanka [14]2 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

(1)

x² - 6 = 2 - 18x ( add 18x to both sides )

x² + 18x - 6 = 2 ( add 6 to both sides )

x² + 18x = 8

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(9)x + 81 = 8 + 81

(x + 9)² = 89

(2)

(x + 9)² = 89 ( take square root of both sides )

x + 9 = ± $\sqrt{89}$ ( subtract 9 from both sides )

x = - 9 ± $\sqrt{89}$

You might be interested in

Hi, can someone graph this for me and let see what you’ll get?

DerKrebs [107]

What do I graph? There is nothing there

6 0

3 years ago

Read 2 more answers

There are 20 families living in the Willbrook Farms Development. Of these families, 10 prepared their own federal income taxes f

ioda

Answer:

a) 1/2

b) 9/40

Step-by-step explanation:

Given

Total number of families living in Willbrook Farms Development = 20

Number of families preparing their own federal income taxes for last year = 10

Number of families for which taxes were prepared by a local professional = 7

Number of families for which taxes were prepared by H&R Block = 3

a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2

b) The probability of selecting two families, both of which prepared their own taxes

10/20 * 9/20 = 9/40

4 0

3 years ago

-3 + 5 4/5 - - 2 1/2 / -2

sergeinik [125]

Answer:

1.55

Step-by-step explanation:

3 0

3 years ago

What is the solution to the equation 7^3x ≈ 9 ?

egoroff_w [7]

$7^{3x}\approx9\\\\\log_77^{3x}\approx\log_79\\\\3x\approx\log_79\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x\approx\dfrac{\log_79}{3}=\frac{1}{3}\log_79=\log_79^\frac{1}{3}=\log_7\sqrt[3]9}$

7 0

4 years ago

Please help me with this

Eduardwww [97]

Answer:

$r^{6}$

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ , then

$\frac{r^{9} }{r^{3} }$ = $r^{(9-3)}$ = $r^{6}$

5 0

3 years ago