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3 years ago

1. Find the inverse functions of the following a. f (x) = 5x +3

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Answer:

y = 5x + 3

x = 5y + 3

5y + 3 = x

5y = x - 3

y = x/5 - 3/5

f^-1(x) = x/5 - 3/5

Step-by-step explanation:

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A quantity y varies inversely with the square of x. If y=8 when x=3, find y when x is 4

choli [55]

Answer:

look at the explanation

Step-by-step explanation:

In order to solve this, we'll set up a proportion.

Since y is inversely related to the square of x, therefore:

y=4/63 ----->9 (square of x)

y=?

25 (square of x)

According to the inverse relation:

y=4/63------->25

y=? --------

-->9 and y=4/175

7 0

2 years ago

Calculate 8 ∙ 10-4 divided by 2 ∙ 102. (box after the "10" in answer is for the exponent.). ∙ 10

Korolek [52]

Given problem: $\frac{8*10^{-4}}{2*10^2}$ .

Solution: We can see that first we have 8 and 2 numbers in front of 10's powers.

So, we need to simplify 8 over 2 first.

If we divide 8 by 2, we get 4.

Now, let us work on 10's and their powers.

$10^{-4}$ is being divided by $10^{2}.$

We can apply quotient rule of exponents remaining part.

According to quotient rule of exponents, $\frac{a^m}{a^n}=a^{m-n}$

If we apply same rule, we need to subtract exponents of 10's.

$\frac{10^{-4}}{10^2}=10^{-4-(-2)}$

If we simplify exponent part -4-(-2), it will give us -4+2 =-2.

So, $10^{-4-(-2)}=10^{-2}$

And final answer would be $4 \times 10^{-2}$ .

6 0

3 years ago

Mandy bought a desktop computer system to start her business from home for $4,995. It is expected to depreciate at a rate of 10%

ziro4ka [17]

Answer:

8.43 years

Step-by-step explanation:

Given data

Cost price P= $4995

Rate r= 10%

FInal amount A= $2150

The expression for the time/duration is given as

t= ln(A/p)/r

t= ln(2150/4995)/0.1

t= ln(0.430)/0.1

t= 0.843/0.1

t= 8.43

Hence the time it will take is 8.43 years

3 0

3 years ago

please help me with this one and more thru the comments I don't have that many points please do it I'm begging u

zvonat [6]

Step-by-step explanation:

(example)

Think of it this way:

If joe caught 1 fish only

and bonita caught four more than joe

that means that she caught 5 fish in total.

(for the question)

This means that Bonita caught four more fish than Joe.

j + 4 = bonita

j = joe

3 0

3 years ago

the price per share of a stock decreased from $90 per share to $36 per share. by what percent did the price of the stock decreas

givi [52]

Answer:

60%

Step-by-step explanation:

we know that

the price per share of a stock decreased from $90 per share to $36 per share

In this problem

$90 represent the 100%

using proportion

Find out what percentage represent the difference of ($90-$36)

($90-$36)=$54

Let

x ----> the percentage of the difference

$\frac{100\%}{\$90}=\frac{x}{\$54}\\\\x=54(100)/90\\\\x=60\%$

8 0

3 years ago