1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kryger [21]
3 years ago
14

8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate? Use a proportion to expla

in.
Mathematics
1 answer:
qaws [65]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

Lisa and Frank type at the same rate.

They both type 1 page every six minutes.

Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get

\frac{36}{6} = 6

And Frank types 5 pages ever 30 minutes, when we divide we get

\frac{30}{5} = 6

You might be interested in
I don't usually get stuck on stuff like this bu For whatever reason I have no idea
Archy [21]

Answer:

1/72=x (part a)

1/70=x (bart b)

Step-by-step explanation:

Divide 1 by 72 for part a, and divide 1 by 70 for part b.

4 0
3 years ago
Read 2 more answers
Given f(x) = log(x+1), x >-1 and g(x) = x^2 + 2x, XER find (f•g)(1)​
worty [1.4K]

Answer:

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Example 3. Given f ( x ) = x2

+ 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

Solution

Step 1. Solve for ( f g ) ( x ).

Since ( f g ) ( x ) = f ( x ) * g ( x ) , then

= (x2

+ 1 ) ( x – 4 )

= x

3

– 4 x2

+ x – 4 .

Step 2. Find ( f g ) ( 3 ).

Since ( f g ) ( x ) = x3

– 4 x2

+ x – 4, then

( f g ) ( 3 ) = (3)3

– 4 (3)2

+ (3) – 4

= 27 – 36 + 3 – 4

= -10

Example 4. Given f ( x ) = x + 1 and g ( x ) = x – 1 , find ( x ) and ( 3 ). f

g

⎛ ⎞ ⎜

⎝ ⎠

f

g

⎛ ⎞ ⎜

⎝ ⎠ ⎟ ⎟

Solution

Step 1. Solve for ( x ). f

g

⎛

⎜

⎝ ⎠

⎞

⎟

Since ( x ) = , then ( )

( )

f x

g x

f

g

⎛

⎜

⎝ ⎠

⎞

⎟

= ; x ≠ 1 1

1

x

x

+

−

Step 2 Find . ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

Since = , then 1

1

x

x

+

− ( ) f x

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

3 1

3 1

+

− ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

4

2

= 2

Step-by-step explanation:

did this Help?

3 0
3 years ago
von has a rectangular workroom with a perimeter of 26 feet the length of the workrooms is 6 feet what is the width of vons workr
kvv77 [185]
The answer is 7 because 2 times 6 equals 12 + 26 - 12 equals 14 + 14 divided by 2 equals 7 this is how I see you it out the answer again the answer is seven feet feet
7 0
3 years ago
Read 2 more answers
If g(x)=70−3x, find -g(-x)
Vedmedyk [2.9K]

Answer:

- g(- x) = - 70 - 3x

Step-by-step explanation:

to evaluate g(- x) substitute x = - x into g(x)

g(- x) = 70 - 3(- x) = 70 + 3x, hence

- g(- x) = - (70 + 3x) = - 70 - 3x


6 0
3 years ago
A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small open trough (open top and ends) by turnin
daser333 [38]

Answer:

4 inches should be turned up on both sides.

Step-by-step explanation:

In order to find this, create a situation in which we give the amount turned up on each side as x. Then give the amount that isn't turned up as 16 - 2x (since 2x is the amount turned up). Now we can find the area by multiplying the 3 measurements.

100 * x * (16 - 2x) = MAX

100 * (16x - 2x^2) = MAX

-200x^2 + 1600x = MAX

Now that we have a quadratic function, we can find the maximum value of x by using the vertex formula for x values (-b/2a).

x = -b/2a

x = -1600/2(-200)

x = -1600/-400

x = 4

8 0
3 years ago
Other questions:
  • This cake was sliced diagonally.What shape will the cross-section make?
    15·2 answers
  • (please help!!!) David hikes 2.25 miles in 0.5 hr. What is his rate in miles per hour? At this rate, how long will it take him t
    7·1 answer
  • Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has
    9·1 answer
  • You are dealt one card from a 52 - card deck. what is the probability that you are NOT dealt a diamond ?
    6·2 answers
  • Factor the polynomial
    14·1 answer
  • What is the volume of a sphere if the radius is 9?<br><br><br> ANSWER IN TERMS OF PI !!!
    5·2 answers
  • Houses cost £150 000 one year ago they now cost £_____this is a 25% increase
    11·2 answers
  • What is 8/5 divided by 3/5 help would be appreciated :))
    10·2 answers
  • Rotate Triangle ALT if A(-5,-1), L(-3,-2), T(-3,2) 90 degrees counterclockwise about the origin, then reflect the image over the
    7·1 answer
  • Find the value of X
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!