An office supply store purchased a case of binders for $600. The profit (P) to be made on the binders is defined by the function
P(b) - 8.50b - 600, where b is the number of binders sold.
Part A What is the range of the function if the domain is {10, 45, 72, 100)?
Part B What do the domain and range represent in this situation?
Part C What is the minimum number of binders that the store needs to sell in order to make a profit (P >0)? Show or explain your work.
Part D What is the minimum profit the store can make on the sale of these binders? Show or explain your work.

h(x) = x^2 - 2

h(-3) = (-3)^2 - 2

= 9-2

= 7

The domain and range of the linear function described are given as follows:

The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, the car travels 425 miles at a speed of 50 miles per hour, hence for the amount of miles left for the car to travel after t hours is given by a linear function with m = -50 and b = 425, that is:

d(t) = 425 - 50t.

The domain is the set of all possible values of the input, which considering that the car travels while the distance is greater than 0, is given by:

d(t) > 0 -> 425 - 50t > 0 -> t < 8.5.

The range is the set of all possible values of the input, which is the distance remaining, assuming real values from 0 to 425.

Hence, the correct option is:

The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425.

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Answer:

5 x - 6 y - 8 = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

168  would be the range because the range is the highest number - the lowest number so 168=highest and 000=lowest

so 168-000 or just0=168

here's some extra answers.

The mean=100 rounded up to nearest 100

Mean= the average of the data set.

Median=127

The median is the middle number when the numbers in the data set are sorted least to greatest.

Mode=000 or just 0

The mode is the number that appear the most in the data set and 000 or just 0 appears twice rather than,all the other numbers only appear once.

Minimum=000 or just

The minimum is the lowest number in the data set and as for this one is is 0.

Maximum=168

The maximum is the highest number and the data set and 168 is the highest in this one.

Hope it helps have a great day:)

Answer:

7 days

Step-by-step explanation:

Let us represent the number of days = a

Kilani currently consumes 1200 calories a day and will increase that number by 100 calories each day.

1200 calories + 100 calories × a

1200 + 100a

Adrian currently consumes 3230 calories a day and will decrease that number by 190 each day.

3230 calories - 190 calories × a

3230 - 190a

The number of days that they would be consuming the same number of calories =

Kilani = Adrian

1200 + 100a = 3230 - 190a

Collect like terms

190a + 100a = 3230 - 1200

290a = 2030

a = 2030/290

a = 7 days

Therefore, the would be consuming the same number of calories in 7 days

Answer:

(x²+5)(x+2)

simple find the common factor between x³ and 2x² and the cf of 5x and 10

u will end up with these results then^

Answer:

2feet

Step-by-step explanation:

There brother is 2 feet and 6 inches

Formula: 12 inches = 1 foot

4'2 + 10 inches = 5 foot

Half of 5 foot would be 2'6 since there are 12 inches in a foot.

Answer:

4858

Step-by-step explanation:

5,638-780=4,858

Answer:

x= (2b-2c)/3a

Step-by-step explanation:

3ax+2c=2b

or, 3ax= 2b-2c

Therefore, x= (2b-2c)/3a

Answer:

x= 9.3 but im not to sure this is right

Step-by-step explanation:

Answer:

8.1

Step-by-step explanation:

The length of the missing side is 8.1 inches. You apply the pythagorean theorem to 5,b,10 and get 5sqrt3. Next, you apply the pythagorean theorem to 3, b, 5sqrt3 to get the square root of 66, which is 8.1, rounded to the nearest tenth.

Answer:

[tex]\displaystyle 8,1[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem twise [first time for the reflexive edge and the second time for the longer leg of the other triangle]:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ a^2 + 5^2 = 10^2 \hookrightarrow 100 = 25 + a^2 \hookrightarrow \sqrt{75} = \sqrt{x^2}; 5\sqrt{3}\:[or\:8,6602540378...] = a \\ \\ \\ \\ a^2 + b^2 = c^2 \\ \\ x^2 + 3^2 = 5\sqrt{3}^2 \hookrightarrow 75 = 9 + x^2 \hookrightarrow \sqrt{66} = \sqrt{x^2}; \sqrt{66}\:[or\:8,1240384046...] = x \\ \\ \boxed{\boxed{8,1 \approx x}}[/tex]

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Answer:

the sale price will be 130% off

Step-by-step explanation:

Answer:

10x+2

Step-by-step explanation:

2×(2x+1+3x)

4x+2+6x

10x+2

Answer:

10x + 2

Step-by-step explanation:

The perimeter is the sum of the 4 sides of the rectangle, where opposite sides are equal in measure, thus

perimeter = 3x + 3x + 2x + 1 + 2x + 1 = 10x + 2

Answer:

GOODMORNING!!!

Step-by-step explanation:

I pray you, have a wonderful day!!  

Answer:

edge ⬇️  

If   invested at the rate of 2.5% for one year. The amount that tyrell pay in additional interest each month is: c. $1,000.

First step

Amount for one year=Simple interest amount/Interest rate

Amount for one year=$300/0.025

Amount for one year=$12,000

Second step

Additional interest each month=$12,000/12 months

Additional interest each month=$1,000

Therefore the amount that tyrell pay in additional interest each month is: c. $1,000.

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Answer:

9*3.14=28.26

Step-by-step explanation:

Hope this Helps!

Answer:

[tex]C\approx28.27ft[/tex]

Step-by-step explanation:

[tex]C=\pi d\\C=\pi(9)\\C=9\pi\\C\approx28.27[/tex]

Thus, your circumference is about 28.27 ft

Answer:

it looks like c

Step-by-step explanation:

its not quite 50 but its extreemly close so its got to be c

[tex]12 {}^{2} = 9 {}^{2} + 8 {}^{2} - 2(9)(8)(cosx)[/tex]

[tex]144 = 81 + 64 - 2(72)(cosx)[/tex]

[tex]144 = 145 - 144(cosx)[/tex]

[tex] - 144(cosx) = 144 - 145[/tex]

[tex](cosx) = \frac{ - 1}{ - 144} [/tex]

[tex]arccos( \frac{1}{144} ) = > a = 89.6[/tex]

Answer:

237

Step-by-step explanation:

1000 minus 355= 645

645 minus 233= 412

412 minus 175= 237

Answer:

237 students

Step-by-step explanation:

355 are playing sports

233 are in a school band.

175 in both

355 + 233 + 175 = 763

763 students are in sports, band or both

1000 - 763 = 237

237 students aren't participating in neither.

hope this helps :)

Answer:

Length = 18 cm

Width = 12 cm

Area = 216 cm^2

Step-by-step explanation:

The perimeter of a rectangle is twice it's length(l) plus twice it's width(w):

Perimeter = 2l + 2w

We are told that (l/w) = (3/2) [ratio of its length to its width is 3:2]

Therefore:

60cm = 2l + 2w

---

(l/w) = (3/2)

We can rewrite this as:  l = (3/2)w

----

Now substitute this expression into the perimeter equation:

60 cm = 2l + 2w

60 cm = 2((3/2)w) + 2w

60 cm = 3w + 2w

60cm = 5w

w = 12 cm

l = (3/2)w

l = (3/2)*12

l = 18 cm

Area = 1*w

Area = (12cm)(18cm) = 216 cm^2

Answer:
28cx2m−12cx+12c−35x2m+15x−15

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

356-56

=300

300/50

=6

Answer:

[tex]\left \{ {{x=-2} \atop {y=1}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{y=-2x-3} \atop {y=2x+5}} \right.[/tex]

Substitute into one of the equations
[tex]-2x-3=2x+5[/tex]

Rearrange variables to the left side of the equation
[tex]-2x-2x=5+3[/tex]

Combine like terms
[tex]-4x=5+3[/tex]

Calculate the sum or difference
[tex]-4x=8[/tex]

Divide both sides of the equation by the coefficient of variable
[tex]x=-\frac{8}{4}[/tex]

Cross out the common factor
[tex]x=-2[/tex]

Substitute into one of the equations
[tex]y=-2\times\left(-2\right)-3[/tex]

Calculate
[tex]y=1[/tex]

The solution of the system is
[tex]\left \{ {{x=-2} \atop {y=1}} \right.[/tex]

I hope this helps you! Don't forget to check the picture I uploaded as well

:)

Answer:

[tex]\displaystyle [-2, 1][/tex]

Step-by-step explanation:

Use the Elimination method sinse both coefficients in the system are OPPOCITES:

[tex]\displaystyle \left \{{{y = -2x - 3} \atop {y = 2x + 5}} \right.[/tex]

2y = 2; 1 = y [Plug this y-coordinate back into the system to get the x-coordinate of −2 (−2 = x).]

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Answer:

38.33 feet.

Step-by-step explanation:

Answer: 38.33ft

Explanation: I looked it up :)

Answer:

48%

Step-by-step explanation: multiply 4 with the numerator and denominator

Answer:

The constant of proportionality in the equation y=0.41 is 0.41

Step-by-step explanation:

Answer:

10.) b. not a function

11.) a. function

Step-by-step explanation:

hope it helps. good luck :)

Answer:

[tex] - 13107[/tex]

Step-by-step explanation:

We would like to evaluate the following Geometric Series ,

[tex]\displaystyle\longrightarrow \sum _{n=1}^8 (-4)^{n-1 }[/tex]

In a geometric series, a common number is multiplied to the previous term in order to find the next term . And that common number is called common ratio (r) .

As we know that ,

[tex]\displaystyle\longrightarrow \sum_{x = 1}^n f(x) = f(1) + f(2) + \dots + f(n) [/tex]

So , we can write the series as ,

[tex]\displaystyle\longrightarrow (-4)^{1-1}+(-4)^{2-1}+\dots +(-4)^{8-1} [/tex]

Simplify,

[tex]\displaystyle\longrightarrow (-4)^0 + (-4)^1+(-4)^2+\dots +(-4)^7 [/tex]

We can find the common ratio by dividing and successive term by its preceding term , as ;

[tex]\displaystyle\longrightarrow r =\dfrac{-4}{1}=-4 [/tex]

Again , here ;

And we can find the sum of geometric series using the formula , ( this is used when the value of r is less than 1 , here it is -4 ) .

[tex]\displaystyle\longrightarrow \Bigg[ Sum = \dfrac{a(1-r^n)}{1-r}\Bigg] [/tex]

On substituting the respective values, we have;

[tex]\displaystyle \longrightarrow\rm{ Sum }=\dfrac{ 1\{1-(-4)^8\}}{1-(-4)}\\ [/tex]

Simplify ,

[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{1-65536}{1+4}\\[/tex]

[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{-65535}{5} [/tex]

Simplify by dividing ,

[tex]\displaystyle\longrightarrow \underline{\underline{ \rm{Sum} = -13107}} [/tex]

And we are done !