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3 years ago

15

Write an equation for a rational function with: Vertical asymptotes at x = 2 and x = -5 x-intercepts at x = 5 and x = -2 Horizon

tal asymptote at y = 3

1 answer:

ludmilkaskok [199]3 years ago

8 0

Answer:

f (x) = 3(x+5) (x+2) / (x-2) (x+5)

Step-by-step explanation:

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Simplify the complex number √-16+8.

cestrela7 [59]

Answer:

$\sqrt{-16} +8$

$=4i+8$

<u>OAmalOHopeO</u>

3 0

2 years ago

Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0

VLD [36.1K]

For this case we must solve the following quadratic equation:

$x ^ 2 + 2x-6 = 0$

Where:

$a = 1\\b = 2\\c = -6$

The solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting:

$x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}$

Thus, we have two roots:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

ANswer:

$x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}$

8 0

3 years ago

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Veseljchak [2.6K]

Answer:

x=y

Step-by-step explanation:

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2 years ago

0.4 divided by 0.08 show your work

Sergeeva-Olga [200]

Answer:

5

Step-by-step explanation:

Since we have not instructed to follow any kind of rule dividing, we can write in any form. Let's calculate it using fraction

$0.4:0.08=\frac{0.4}{0.08}$

We can multiply both the nominator and denominator with 100

$\frac{0.4}{0.08}=\frac{40}{8}=5$

The answer is 5.

We can also solve it as a division of fractions:

$\frac{4}{10} : \frac{8}{100} = \frac{4}{10} * \frac{100}{8} = \frac{10}{2} = 5$

8 0

3 years ago

Read 2 more answers

Do these side lengths make a right triangle? 5, 12, 13

lorasvet [3.4K]

Answer:

This is a right triangle

Step-by-step explanation:

We will use the Pythagorean theorem

a^2 + b^2 = c^2

If this is true it is a right triangle

5^2 + 12^2 = 13^2

25+144 = 169

169 =169

This is true so this is a right triangle

5 0

3 years ago