All categories

3 years ago

A local animal shelter has a total of 16 dogs, and 4

Mathematics

1 answer:

worty [1.4K]3 years ago

6 0

Why would they chose a dog at random?
You need to feel a connection.

You might be interested in

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

3 years ago

How is a finance charge calculated

GuDViN [60]

Answer:

option A. Multiply the unpaid balance by the monthly interest rate

Step-by-step explanation:

Finance charges are the monthly service fee charged by lender on the credit used by borrower if they wish to skip the payment of monthly bill and carry forward it to next month.

So, we can calculate finance charges as monthly interest accrued on the unpaid balance.

Finance charges = Unpaid balance x Monthly interest rate.

Hence, option A is correct, i.e. Multiply the unpaid balance by the monthly interest rate.

6 0

4 years ago

Conan had 180$ in the bank. Each week he deposits another 64$ that he earns mowing lawns. Is his account balance proportional to

balu736 [363]

No, because 64 does not go into 180 evenly.

3 0

4 years ago

I need help with an Algebra question. The question is in the picture. Thank you <3

olchik [2.2K]

The domain is the set of allowed inputs, in this case t values. The smallest t value allowed is t = 0. The largest is t = 165. So that's why the domain is $0 \le t \le 165$

-------------------------------

The range is $0 \le H \le 40000$ since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.

4 0

3 years ago

How would i graph this equation y=3x+1

Kipish [7]

Answer:

(0,1)(1,4)

Step-by-step explanation:

Put in any value of x to find y, then you have a coordinate, then plot it

lets say i pick 0 for x

y = 3(0) + 1

y = 1

(0,1)

lets say i also pick 1 for x

y = 3(1)+1

y = 4

You need atleast two points to plot a line, these are two points.

6 0

3 years ago