a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items

Answer:

y = 4 (x + 1)² - 16

Step-by-step explanation:

Step 1: Equation at the end of step 1

(2²x²+8x)-12

Step 2:

Step 3: Pulling out like terms

Pull out like factors :

4x² + 8x - 12  =   4 • (x² + 2x - 3)

Trying to factor by splitting the middle term

Factoring  x²+ 2x - 3

The first term is,  x²

its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   2 .

   -3    +    1    =    -2  

     -1    +    3    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  3

x² - 1x + 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (x-1)

            Which is the desired factorization

Final result :

Final result :

 4 • (x + 3) • (x - 1)

Now convert to vertex form:

y = 4 (x + 1)² - 16

Answer: D i think

Step-by-step explanation:

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

Simplify the expression, then we have

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

⇒ − 7x + 6x − 24 − 2x − 6 + 10

⇒ − 3x − 20

⇒ − (3x + 20)

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ5

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

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

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

Answer:

40-d

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Because the step in puting slope is respectly (x,y)

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

Answer:

He is been paid $7 per hour

Step-by-step explanation:

140dollars/ 20 hours

Answer:

No the graph is not correct.  The point of intersection is (-3, 4)

Points on line y = x + 7  are  (-3, 4)  (0, 7) and (2, 9)

Points on line y = -1/3x +3  are (-3, 4) (0, 3) and (-6, 5)

Step-by-step explanation:

y = x + 7              do not change

y = -1/3x + 3        substitute into the top equation and solve for x

-1/3x + 3 = x + 7

       -3  =      -3    

-1/3x    =   x + 4  

- x      =   -x        

-1  1/3x =   4

 - 4/3x  = 4            Changed -1 1/3x to -4/3x

   x    =  4/ -4/3

  x =  -3

  y = x + 7

  y = -3 + 7

 y = 4                         Point of intersection is (-3, 4)  

[tex]300 {ft}^{2} [/tex]

Step-by-step explanation:

d=20

r=10

π=3

[tex]a = \pi{r}^{2} [/tex]

[tex]a = (3) {(10)}^{2} [/tex]

[tex]a = 300[/tex]

Answer:

A = 300 ft^2

Step-by-step explanation:

First we need to  find the radius

r = 1/2 d

The diameter is 20

r = 1/2(20) = 10

A =pi r^2

We are using 3 for pi

A = 3( 10)^2

A = 3 * 100

A = 300 ft^2

Answer:

eat tacos until you bloat

Step-by-step explanation:

AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA

Answer:

8.175$

Step-by-step explanation:

If we do 23+25+(3.25)×2

The sum of all the bought

It will equal to 54.5

So if we do as the waiter planned

We must to 54.5×15%=8.175$

Answer:

6.5

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer:

log[x⁵/(x-8)⁶]

Step-by-step explanation:

5log(x) - 6log(x-8)

log(x⁵) - log((x-8)⁶)

log[x⁵/(x-8)⁶]

[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]

Answer:

48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

The equation of the line is y-2x+5=0 I believe. Good luck :)

Answer:

525

Step-by-step explanation:

hope this helps

Answer:

526

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

this is beacuse of the ? mark!

Glad this will help

The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Given the expression:

Take the LCM of the fraction to have:

[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]

Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Learn more on fractions here; https://brainly.com/question/78672

Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

Answer:

the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt

Step-by-step explanation:

Sorry if this is late lol. Hope this helps other people too though.

Alternative interior

4 & 6

3 & 5

Corresponding

1 & 5

4 & 7

2 & 6

3 & 8

Alternative

1 & 8

2 & 7

Consecutive

4 & 5

3 & 6

Answer:

Y= -5x + 6Y

Step-by-step explanation:

(-5, -2.5) to (1.5, 6)

Answer: B: 3.45

Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.

Answer:

probably 4.5 if im not mistaking

Answer:

4 1/2

Step-by-step explanation:

(-2 7/10) = (-2.7)

9/5 = 1.8

1.8 - (-2.7)

= 1.8 + 2.7

= 4.5 or 4 1/2

Answer:

so that's how you plot their intersection

0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.

Given :

The following steps can be used in order to determine what does 0.92 represents:

Step 1 - Write the given function.

[tex]f(x)=24000(0.92)x[/tex]

Step 2 - In the given function $24000 represents the original value of the car.

Step 3 - According to the given data, 'x' represents the number of years.

Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/5245372

Answer:

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the given trapezoid

[tex] = \frac{a + b}{2} c[/tex]

[tex] = \frac{175 + 185}{2} \times 100[/tex]

= 360 × 50

= 18000

Hence,

The required area of the given trapezoid is 18000 (Ans)

Answer:

no cuh

Step-by-step explanation: