All categories

3 years ago

3/ [(5)^(1/2) – (3)^(1/2)] simpfily

Mathematics

1 answer:

love history [14]3 years ago

8 0

Usually the easiest way to solve this is by using a calculator. Of course only if your teacher allows you too.

You might be interested in

What is the measure of ZRVE? 60° 7 8 mer R

luda_lava [24]

Answer:

45 degrees

Step-by-step explanation:

180 - 60 - 75 = 45

Angle RVE is the same as angle LVA

3 0

3 years ago

Read 2 more answers

Solve X + 5 + 6x = 180. What are the steps?

Elenna [48]

Answer:

x=25

Step-by-step explanation:

x+5+6x=180

7x+5=180

7x=175

x=25

3 0

2 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago

Which functions could represent a reflection over the y axis of the given function

fredd [130]

Answer:

g(x) = 1/2*(4)^(–x) and

g(x) =1/2*(1/4)^(x)

Please, see attached picture.

Step-by-step explanation:

Your full question is attached in the picture below

To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.

See, second image.

The answers are

g(x) = 1/2*(4)^(–x) and

g(x) =1/2*(1/4)^(x)

4 0

2 years ago

Can someone explain how to solve this?

Irina18 [472]

Answer:

(-8,8)

Step-by-step explanation:

Simplify |n| + 4 < 12. To do this, subtract 4 from both sides. This results in:

|n| < 8. The solution set includes all real numbers between -8 and 8, but not -8 itself or 8 itself.

3 0

2 years ago