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Paul [167]
3 years ago
6

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find and state its domain.

Mathematics
1 answer:
ollegr [7]3 years ago
4 0
The domain <span> of a </span>function<span> is the set of "input" or argument values for which the </span>function is defined.<span>The domain is all the values that </span>x<span> is allowed to take on. 

The domain of the function   </span><span>f(x) = -6x + 3 are all real numbers. 

The domain of a function g(x) = 5x + 4  are also all real number.</span>
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Dexter deposits $200 in a bank account that earns 3% simple intrest.How much money will he have in the account after 1 year
Elis [28]

Answer:

$206

Step-by-step explanation:

The amount that would be in the account = amount deposited + interest earned on deposit

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = $200

Time = the duration of the deposit = 1 year

interest rate = the percentage on deposit that would be earned = 3%

200 x 0.03 x 1 = $6

The amount that would be in the account = $200 + $6 = $206

4 0
3 years ago
-12=24+b how do I solve this
garik1379 [7]

Answer:

b = -9

Step-by-step explanation:

-12 = 24 + 4b             \longmapsto\\            Subtract 24 from both sides

-12 - 24 = 24 + 4b - 24

-36 = 4b                    \longmapsto\\            Divide all sides by 4

-36 ÷ 4 = 4b ÷ 4

-9 = b

-Chetan K

6 0
3 years ago
Read 2 more answers
A factory produces some batteries daily. 7/8 of the batteries are packaged immediately. 2/3 of the
frozen [14]

Answer:

\[\frac{1}{24}\]

Step-by-step explanation:

Let the total number of batteries produced daily be represented by x.

7/8 of the batteries are packaged immediately.

So the total number of packaged batteries = \[\frac{7x}{8}\]

Remaining batteries = \[x-\frac{7x}{8}\]

= \[\frac{x}{8}\]

Two third of the remaining batteries are sent to charity.

So the total number of batteries sent to charity= \[\frac{2}{3} * \frac{x}{8}\]

= \[\frac{x}{12}\]

Remaining batteries are faulty.

So the total number of faulty batteries = \[\frac{x}{8} - \frac{x}{12}\]

= \[\frac{3x - 2x}{24}\]

= \[\frac{x}{24}\]

So the faction of batteries which are faulty =

= \[\frac{x}{24} \div x\]

= \[\frac{1}{24}\]

3 0
3 years ago
Is this a right triangle?<br> 15 m, 36 m, 39 m
Vesnalui [34]

Answer:

YES

Step-by-step explanation:

use pythagorean theorem

15^2 + 36^2 = 39^2

225 + 1296 = 1521

1521=1521

5 0
3 years ago
Read 2 more answers
Verify the following <br> i.[ -3/4]3 = -27/64<br> ii. [-2/3]6 = 64/ 729
Juliette [100K]

Answer:

The relationships are correct and valid

Step-by-step explanation:

The correct question is as follows;

Verify the following

i.[ -3/4]^3 = -27/64

ii. [-2/3]^6 = 64/ 729

We have the solution as follows;

i) we have;

(-3/4)^3

That means ;

-3^3 = -3^3 = -27

4^3 = 64

so;

(-3/4)^3 = -27/64

ii) (-2/3)^6

(-2)^6 = 64

3^6 = 729

Thus;

(-2/3)^6 = 64/729

4 0
3 years ago
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