Is this an even or odd function? f(x)=5-3x

Answers

Answer 1

Answer: $f(x)=5-3x \nx \in \mathbb{R}$

A function is even if f(x)=f(-x) for every x in the domain.
$f(x) \stackrel{?}{=} f(-x) \n5-3x \stackrel{?}{=} 5-3 * (-x) \n5-3x \stackrel{?}{=} 5+3x \n-3x-3x \stackrel{?}{=} 5-5 \n-6x \stackrel{?}{=} 0 \nx \stackrel{?}{=} 0 \nf(x)=f(-x) \Leftrightarrow x=0$
f(x) is equal to f(-x) if and only if x=0, so the function isn't even.

A function is odd if -f(x)=f(-x) for every x in the domain.
$-f(x) \stackrel{?}{=} f(-x) \n-(5-3x) \stackrel{?}{=} 5-3 * (-x) \n-5+3x \stackrel{?}{=} 5+3x \n3x-3x \stackrel{?}{=} 5+5 \n0 \stackrel{?}{=} 10 \n0 \not= 10 \n-f(x) \not= f(-x)$
-f(x) is never equal to f(-x), so the function isn't odd.

The function is neither even nor odd.

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A potter use 3/5 of a pound of clay to make a bowl.How many bowls the potter make from 10 pounds.

Answers

We are writing proportion:
$(3)/(5) of a pound of clay -$ 1 bowl
10 pound of clay - x bowl
We are looking for x which is amount of bowl
After cross multiplication:
$(3)/(5)$ x=10
x= $(50)/(3)$ =16,66 ,so from 10 pounds we will make 16 bowls.

10 divided by 3/5 = 10 x 5/3 = 50/3 = 16 and 2/3 bowls.

That's the mathematical answer. In the real-world pottery shop, he can
make 16 complete bowls, and have 2/5 pound of clay left over.

Sara borrows $56 from her mother to buy a new pair of jeans. If she decreases her debt by $4 each week, how many weeks will it take her to pay off the whole amount she owes her mother? A. 15 weeks B. 16 weeks C. 12 weeks D. 14 weeks

Answers

Answer:

D. 14 weekend

Step-by-step explanation:

4x = 56

x = 56/4

14 weeks

How to increase numbers

Answers

Hi There! :)

How to increase numbers?

Multiply by a percentage

Add or multiply another number with that number

Please help me w/ this geometry question.

image attached.

Answers

$The \: answer \: is \: 46 °$

68/80 as a fraction,percent,and decimal

Answers

Fraction: 17/20
Divide by 4 to get 17/20
(68/4)/(80/20)

Percent: 85%
Using 17/20 -Multiply each side by 5 to get ____/100
17*5/20*5 = 85/100 or 85%

Decimal: 0.85
Using 85/100, divide it out to get 0.85.

A man can paint one house in 12 hours. At this rate, how many houses could 18 men paint in 6 hours? A) 3 houses B) 6 houses C) 9 houses D)