If you divide the mass of a substance by its volume, can you can find its density?

Answers

Answer 1
Answer: So the question is is it true or false that when you divide the mass of a substance by it's volume you will get its density. So from the definition of density we know that density=mass/volume or: D=m/V. So the answer is true, when you divide a mass of a sbstance by its volume, you get it's density.

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Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form.
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The number of hours (H) that a candle will burn increases when the length of the candle (L) increases. Write the correct equation for this scenario, and solve for the number of hours when the length is 2.

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Answers

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Ron grew 224 flowers with 56 seed packets. How many seed packets does Ron need to have a total of 324 flowers in his garden? Assume the relationship is directly proportional.

Answers

Answer:

the relationship is directly proportional.

224 flowers                 324 flowers

56 seed packets        (324*56)/224=81 seed packets

What value of x makes the equation true? PLZ HELP RIGHT THANK YOU

–7.12 = –4.8 + x



A.


–11.92


B.


–11.2


C.


–2.32


D.


2.32

Answers

so just remember tha tyou can do anything to an equation as long as you do it to both sides (except divide by 0) so
-7.12=-4.8+x
add 4.8 to both sides since -4.8+4.8=0 so it cancels
4.8-7.12=x
simplify
4.80-7.12=-2.32
-2.32=x
the naswer is C
-7.12 = -4.8 + x

-7.12 = x - 4.8

Add 4.8 on both sides

x = -7.12 + 4.8

x = -2.32

Your final answer is C. -2.32.

Sheena declared bankruptcy. How long will that fact remain on her credit report?A.
indefinitely

B.
up to 10 years

C.
5 years

D.
2 years or less

Answers

Up to 10 years, until the file is outdated.

Angelica is working on function machines. She has two machines g(x)=square root x-5 and h(x)= x^2-6. she wants to put them in order so that the output of the first machine becomes the input of the second. she wants to use a beginning input of 6.a) in what order must she put the machines to get a final output of 5.
b)is it possible for her to get a final output of -5? if so,show how she could do that. If not explain why not.

PLEASE HELP!

Answers

g(h(x))=√(x^2-6-5)=√(x^2-11)\ng(h(6))=√(6^2-11)=√(36-11)=√(25)=5

a)
h(x) is the input for g(x), so h(x) must be first

b)
It's impossible for g(h(x)=√(x^2-11), because its value is always non-negative for any x. Let's see what about h(g(x)).

h(g(x))=(√(x-5))^2-6=x-5-6=x-11

The result is a non-constant linear function, so its value can be any real number, including -5. You can calculate for what x it's equal to -5.

x-11=-5\nx=6

x-11=-5\nx=6

a) To get a final output of 5 , she must first input 6 into machine h(x) , then the result from machine h(x) is input back to machine g(x).

b) It is possible to get a final output of -5. It could be done by first input 6 into machine g(x) , then the result from machine g(x) is input back to machine h(x).

Further explanation

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

  • Linear Function → f(x) = ax + b
  • Quadratic Function → f(x) = ax² + bx + c
  • Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x
  • Logarithmic function → f(x) = ln x
  • Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

This problem is about Composition of Functions.

Question a:

Given:

g(x) = √(x - 5)

h(x) = x^2 - 6

( h \circ g )( x ) = h ( g ( x ) )

( h \circ g )( x ) = h ( \sqrt {x - 5} )

( h \circ g )( x ) = (\sqrt {x - 5})^2 - 6

( h \circ g )( x ) = x - 5 - 6

( h \circ g )( x ) = x - 11

( h \circ g )( 6 ) = 6 - 11

\large {\boxed {( h \circ g )( 6 ) = -5 } }

( g \circ h )( x ) = g ( h ( x ) )

( g \circ h )( x ) = g ( x^2 - 6 )

( g \circ h )( x ) = \sqrt {( x^2 - 6 ) - 5 }

( g \circ h )( x ) = \sqrt { x^2 - 11 }

( g \circ h )( 6 ) = \sqrt { 6^2 - 11 }

( g \circ h )( 6 ) = \sqrt { 25 }

\large {\boxed {( g \circ h )( 6 ) = 5 } }

To get a final output of 5 , she must first input 6 into machine h(x) , then the result from machine h(x) is input back to machine g(x).

Question b:

From the results above , it is possible to get a final output of -5.

It could be done by first input 6 into machine g(x) , then the result from machine g(x) is input back to machine h(x).

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic