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3 years ago

ILL GIVE YOU BRAINLIST !!! SHOW WORK

Mathematics

1 answer:

alexgriva [62]3 years ago

6 0

Answer:

-0.004 repeating

Step-by-step explanation:

5 times negative three is -15 and that to the negative second power is -0.004 with the 4 repeating.

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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

2 years ago

Suppose that g(x) = f(x) - 4. Which statement best compares the graph of

ArbitrLikvidat [17]

Answer:

The graph of g(x) is shifted 4 units down.

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3 years ago

△QRS is rotated about point P to △Q′R′S′ .

Sedbober [7]

Answer:

As Given △QRS is rotated about point P to △Q′R′S′ .

As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.

Out of the options given

→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.

→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.

are true.

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3 years ago

Working together, it takes two computers 20 minutes to send out a company's email. If it takes the slower computer 45 minutes to

11Alexandr11 [23.1K]

Answer:

36 minutes

Step-by-step explanation:

Let the productivity of slower computer is x bits/min

That means Slower computer in 45 minutes sends x*45 bits= company's email

Let the productivity of faster computer is y bits/min

That means that working together slower and faster computers send

x*20+y*20= company's email or

x*20+y*20=x*45

x*25=y*20

y/x=25/20= 1,25

That means that faster computer sends the mails 1.25 times faster than slower computer

So faster computer will need in 1.25 times lees time than slower computer to do this job

45:1.25 =36 min

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3 years ago

Write an expression that includes the numbers 2,4,and 5, has a Value of 50, and includes one set of parentheses.

Ivanshal [37]

I do not know............

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3 years ago