Karen owns a seafood restaurant. She orders trout from an online retailer.
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order. However, if Karen orders 10 or more pounds, the trout
costs only $24 per pound, but the shipping fee is $6.
Which piecewise function models the cost of x pounds of trout?
A. f(x) =
30x + 2, 0 < x < 10
24x + 6, 2 > 10
O B. f(2)=
24x + 6, 0 << < 10
30% +2, 2 > 10
O c. f() =
{
30x + 2, 0 << < 10
24x + 6, 3 > 10
D. f(x) =
24x + 6, 0 < x < 10
30x + 2, 3 > 10
< PREVIOUS

Answers

Answer 1

Answer: 30x+2, 0<x<10

24x+6, x>10

Step-by-step explanation:

Make sure the x>6 has the line under the >. It would not let me enter it like that.

Answer 2

The piecewise function that models the cost of x pounds of trout is:  [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex],

What is piecewise function?

"It is a function that is defined on a sequence of intervals."

For given question,

'x' represents number of pound of trout.

Each pound of trout costs $30, and the company charges a $2 fee for

shipping the order.

We write this in equation form as,

f(x) = 30x + 2

This is possible if Karen orders less than 10 pounds.

So, the function would be,

f(x) = 30x + 2, 0 < x < 10

If  Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.

This means, the function would be,

f(x) = 24x + 6, x > 10

Hence, the piecewise function that models the cost of x pounds of trout is:  [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex]

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Related Questions

Which equation can be represented using the number line?

A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.
Three-fourths divided by one-eighth = 6
One-eighth divided by three-fourths = 6
6 divided by three-fourths = one-eighth
6 divided by one-eighth = three-fourths

Answers

Answer:

a

Step-by-step explanation:

The equation which can be represented using the picture displayed on the number line is Three-fourths divided by one-eighth = 6

The distance between each marked line on the number line is 1/8

The length of the number line is 3/4

The number of steps or marked points can be obtained using the relation :

Length of line ÷ Distance between each marked points

3/4 ÷ 1/8 = 6

Therefore, the expression which represents the scenario on the number line is 3/4 ÷ 1/8 = 6

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if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
g(f(x))=___x^2+___x+___​

Answers

Answer:

Step-by-step explanation:

g(x^2 + 2x - 4)

3(x^2 + 2x - 4) + 1

3x^2 + 6x - 12 + 1

3x^2 + 6x - 11

Help me plz !!!!!!!!!!!!!!!

Answers

Answer:

A. 2/3 book/hour

Step-by-step explanation:

rewrite the fractions as a decimal if it can make it easier for you (0.5 book/0.75 hours) then divide which is 2/3 book/hour

Please help me with this question

Answers

It’s A or C one of those

Whoever answers first is brainliest

Answers

Answer:

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)

Step-by-step explanation:

I NEED HELP ASAPP PLEASE THIS IS DUE FOR SCHOOL PLEASE HELP ASAP and I don't have a calculator at home so I can't do this 2{3+10/2+62-(4+2)}

Answers

Answer:

128

Step-by-step explanation:

Solve for p if 2lpl = 4
O {-8, 8)
O{-4, 4)
O (-2, 2)

Answers

Answer:

Step-by-step explanation:

2|p|= 4

2p = 4

p = 2

-2p = 4

p = -2

(-2, 2)

Whoever answers first gets the brainliest Given : f(x)=-|x+9|
What direction does the graph move?______ How far?_____
What axis does the graph reflect over?____

Answers

Answer:

See below.

Step-by-step explanation:

f(x) = -|x + 9|

compared to

f(x) = |x|

has a graph that opens downward in an upside down V shape.

It has been moved 9 units left compared to the graph of f(x) = |x|.

It reflects over the x-axis.

por favor ayúdenme en esta ecuación: 5x-3x=6x-8

Answers

Hey there!

ANSWER: [tex]x=2[/tex]EXPLANATION:

[tex]5x-3x=6x-8[/tex]

Combine like terms.

[tex](5x+-3x)=6x-8\\2x=6x-8[/tex]

Subtract 6x from both sides of the equation.

[tex]2x-6x=6x-8-6x\\-4x=-8[/tex]

In the last step, we will divide both sides by -4.

[tex]\frac{-4x}{-4} =\frac{-8}{-4} \\x=2(ANSWER)[/tex]

Hope this helps and have a great weekend!

[tex]\text{-TestedHyperr}[/tex]

Answer: x = 2

Step-by-step explanation: Aquí esta :

Simplificar 5x - 3x y eso se de 2x

1.) 2x = 6x-8

Sustraer 6x-2x

2.) 2x-6x= -8

Y entonces deberías haber obtenido 4x

3.) -4x=-8

Dividir ambos lados por -4

4.) x = -8/-4

Dos negativas hacen una positivo

5.) x = 8/4

Finalmente, la repuesta es :

6.) x = 2

Simplify (9 ^ 2)/(9 ^ 7)

Answers

Simplify 9^2/9^7 into
1/9^5 <——that could be the simple answer. If to fully simplify it solve 9^5 which would give you
1/59049

Why do you think Danny wanted to ride the tiger at first?

Answers

Because he had nothing to do and was bored.

What is the answer to this?plz help

Answers

Answer:

[tex]\frac{4}{9} = 0.4[/tex]

[tex]\frac{7}{30} = 0.23[/tex]

[tex]\frac{5}{3} =1.6[/tex]

[tex]\frac{32}{9} = 3.5[/tex]

Step-by-step explanation:

there are 400 pens in a shop 40percent are black 20percent of the other colored pens are blue and 10percent of other pens are yellow if the remaining are red what percent of pens are red

Answers

Percents is a number out of 100. So basically what you’re going to do here is add up the percents. 40+20+10. Add that up and you get 70. You then subtract 70 from 100. You get 30. So the percentage of red pens is 30%.

(x^4−5x^3−8x^2+13x−12)÷(x−6)

Answers

Answer:

x^3+x^2-2x +1- 6/x-6

Step-by-step explanation:

Solve using polynomial division.

Hope this helps.

Answer: This problem has No solution, because you can only combine like terms which there isn't any

  hope this helps

plz mark brainliest

A car rental company charges $31 per day to rent a particular type of car, and $0.19 per mile. Juan is charged $59.31 for a one-day rental. How many miles did he drive? (Show your algebraic work)

Answers

x = # of miles

$59.31 = $31 + $0.19x

Subtract $31 from both sides

$28.31 = $0.19x

Divide both sides by $0.19

149 = x

Juan drove 149 miles

can you please help me ​

Answers

its B. -2, square root of 5 (2.2), 4, 3^2 (9)

I'm sorry if this is incorrect, but I think the answer is [tex]-2, \sqrt{5}, 4, 3^2[/tex]

Explanation: A negative number will always be the least. 3 squared is actually 3*3 and that would be 9. The square root of 5 is 2.2360679775 which is less than 4 so that would go in the second place. I hope this makes sense! :)

HELPPPPPPPPP MEEEEEEEEE! DUE IN 30 MIN!!! I REALLY NEED HELP WITH THIS PROBLEM!!!
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind-reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind-reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?

Answers

Answer:

56 underwater breathing potions.

Step-by-step explanation:

Written algebraicly, f=m+10 and b=3m+2, with f being flying potions, b being breathing underwater, and m being mind reading potions. We know that f+b+m=102, so replace f and b with the equations. You get m+10 + 3m+2 + m +102. Combine like terms to get 5m+12+102. Subtract 12 from both sides to get 5m=90, and divide both sides by 5 to get m=18. Now take b=3m+2 and replace m with 18. Now you have b=3(18)+2. 3 times 18 is 54, plus 2 is 56. :)

The class wants to raise a total of $1750. If they receive a profit of $1.75 from each candy bar sold, how many bars must they sell to reach their goal?​

Answers

Answer: 1,000

Step-by-step explanation:

1,750 divided by 1.75 =1,000

Answer:

1,000

Step-by-step explanation:

If the class wants to raise a total of $1,750 and make a profit of $1.75 from each candy bar that gets sold then you take the total and divide it by the amount of profit each bar makes. So you do 1,750 divided by 1.75 and that gives you 1,000. So the class must sell 1,000 candy bars to reach their goal.

2x + y - z=-7
5y- z=1
3z = 12
solve the 3x3 system

Answers

Answer:

Step-by-step explanation:

3z = 12

z = 4

5y - 4 = 1

5y = 5

y = 1

2x + 1 - 4 = -7

2x - 3 = -7

2x = -4

x = -2

(-2, 1, 4)

Solve using 2-step equations.
You got a job which only pays salary without commission.
You earn $40,000 per year. You're living with your parents,
so bills this month will only be $400, but you want to put
$2000 into your savings.
After paying bills and putting money aside in savings, how
much will you have left over?

Answers

400 x 12 = 4800
4800 + 2000 = 6800
40000 - 6800 = 33200

You will have $33,200 left over

The midpoint of AB is M (5,1). If the coordinates of A are (3,6), what are the
coordinates of B answers

Answers

The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).

What are the coordinates of the midpoint of the line segment AB?

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}[/tex]

and

[tex]y = \dfrac{q+n}{2}[/tex]

Given that the midpoint of AB is M whose coordinates can be written as,

The x-coordinate of point B,

[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]

[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]

10 = 3 + x

x = 10 - 3

x = 7

The y-coordinate of point B,

[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]

[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]

2 = 6 + y

y = 2 - 6

y = -4

Hence, the coordinates of point B are (7, -4).

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A bottle of hot sauce is 3/4 full. Leigh uses 2/9 of the contents of the hot sauce bottle for lunch. How much of a full bottle of hot sauce did Leigh use for lunch? A)26/36 B)5/36 C)1/6 D) 1/2 E) 1/3. PLEASE HELP.

Answers

Answer:

  C)  1/6

Step-by-step explanation:

2/9 of 3/4 is ...

  [tex]\dfrac{2}{9}\times\dfrac{3}{4}=\dfrac{2\cdot 3}{9\cdot 4}=\dfrac{6}{36}=\boxed{\dfrac{1}{6}}\qquad\text{matches C}[/tex]

Answer:

hlp

Step-by-step explanation:

19) Write the equation of the line with
passing through (-4, 3) and ( 1, 13)

Answers

Answer:

Step-by-step explanation:

(13 - 3)/(1 + 4) = 10/5= 2

y - 13 = 2(x - 1)

y - 13 = 2x - 2

y = 2x + 11

worksheet math
Write the group of natural number



Answers

Answer:

natural number starts from 1

1 2 3 4 5  6 7 8 9 10 ...................

Step-by-step explanation:

Answer:

Natural numbers are also called whole, positive numbers. 1, 2, 3,4 and so on represent this. Hopefully this helps!

What is the equation of the line that is perpendicular to
the given line and passes through the point (3,0)?
A. 3x+5y=-9
B.3x+5y=9
C.5x-3y=-15
D.5x-3y=15

Answers

Answer:

answer is D

shown below

The equation of the line that is perpendicular to the given line and passes through the point (3,0) is 3y - 5x = -15.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the points as (-3, 2) and (2, -1).

So, the slope of line

slope = (-1 -2)/ (2 -(-3))

slope = -3/5

So, the slope for the perpendicular line is

slope= 5/3

Now, using the slope intercept form

y= mx+ b

y= 5/3x + b

and, the line passes through (3, 0)

0= 5/3(3)+ b

b= -5

Then, the equation of line is

y= 5/3x -5

3y - 5x = -15

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3. Given the following table find the slope 2 6 8 Time (hours) Distance (miles) 3 6 9 12 ​

Answers

Answer:

3/2

Step-by-step explanation:

when you plot it time is x and distance is y so go up 3 right 2

0.018 ÷ 0.03. NO WRONG ANSWERS OR ELSE WILL REPORT. IF CORRECT WILL MARK U AS BRAINILIST

Answers

I think 0.6 should be the right answer
Wait is that 0.03.
Or 0.03

The ratio of teachers to students in the eighth grade it’s in proportion to the ratio of teacher to students in the entire school. If the eighth grade has four teachers and 84 students, how many students are there if there are 25 students in the entire school?

Answers

Answer:

525 students

Step-by-step explanation:

84/4 is 21. The ratio is 1 teacher to every 21 students. There are 25 teachers in the entire school. If you multiply that by 21, there are 525 students in the entire school.

Can you simplify 10/16?

Answers

Answer:

5/8

Step-by-step explanation:

help help i need help please​

Answers

hope it helps you

this is my answer

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