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2 years ago

Need help with this please.

Mathematics

1 answer:

iogann1982 [59]2 years ago

4 0

Hi....

Im not sure if i got it right but i think its: 1.8........ Hope this helps. Brainliest Please

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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

1 year ago

Please help with the following problem asap!!

umka21 [38]

Answer:

$8^7$

Step-by-step explanation:

$\dfrac{8^{15}}{8^7 \cdot 8} =$

Remember that $8 = 8^1$ .

$= \dfrac{8^{15}}{8^7 \cdot 8^1}$

When you multiply powers with the same base, add the exponents. Do this in the denominator.

$= \dfrac{8^{15}}{8^{7+1}}$

$= \dfrac{8^{15}}{8^{8}}$

When you divide powers with the same base, subtract the exponents.

$= 8^{15-8}$

$= 8^7$

4 0

2 years ago

The number of patients treated at Dr. Artin’s dentist office each day was recorded for nine days. These are the data: 6, 6, 6, 5

klemol [59]

Answer:

D) 5.6, 6, 6, 1

Step-by-step explanation:

Before we start solving this problem, we need to first rearrange the provided data from smallest to greatest, so we get:

5, 5, 5, 5, 6, 6, 6, 6, 6

now we can find the mean. The mean is nothing but the average of the provided values, so we need to add them and then divide them into the total amount of data:

$mean=\frac{5+5+5+5+6+6+6+6+6}{9}=5.6$

next, in an odd number of data, the median is the middle number when written in order. In this case the middle number (the one in the position 5) is 6, so:

median=6

the mode will tell you what is the value that has the greatest number of occurrencies. This is the number that appears the most on our list.

Mode=6

and the range is the difference between the greatest value and the smallest value:

Range=6-5=1

so the answer is D.

6 0

2 years ago

Anyone knows how to do this? please help.

givi [52]

Answer:

reflecting over y just simply means counting the space between the shape and their points to the line and using that same number on the other side for example for the point -4,-4 is 2 spaces from the line then count 2 on the other side

3 0

2 years ago

-2pie/3 converted to degrees

bulgar [2K]

The formula to convert radians to degrees is given by:

Radians × (180/π) = Degrees

-2π /3 × (180/π) = -120 °

8 0

2 years ago