All categories

3 years ago

Which graph represents a reflection of f(x)=2(0.40^x across the y-axis ?

Mathematics

1 answer:

puteri [66]3 years ago

6 0

Answer:

The first one

Step-by-step explanation:

You might be interested in

What Did the Baby Porcupine Say When It Backed into a Cactus??

Katen [24]

Answer:

Is that you, Mommy?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

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

Please help ASAP 40 pts

vekshin1

A. 20

Sims angles C and B are each 80 degrees, angle A must be 20 degrees

8 0

3 years ago

Read 2 more answers

What is the median of 4, 6, 9, 11, 8, 13, 12

Talja [164]

Write the numbers in order first,
4, 6, 8, 9, 11, 12, 13
Middle number in sequence is the median, in this case median is 9.

5 0

3 years ago

Read 2 more answers

Table A, B, C, Or D???<br> I’ll give brainlest

Aleks04 [339]

Answer:

i want to say C, im sorry if its wrong but im pretty sure its the right one

Step-by-step explanation:

6 0

2 years ago