The profit P in dollars, gained by selling x computers is modeled by p = -5x²+1000x+5000. How many computers must be sold to obtain a profit of 55,000,00

Answer:

Step-by-step explanation:

We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.

Equation of the Line

y - 5 = - 4 (x - 3)

Finding x and y-intercepts

y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)

since y - 5 = - 4 (x - 3)

         y - 5 = -4 x + 12

              y = -4 x + 17    

            ∴ point of the y-intercept is (0, 17)

x-intercept occurs when y = 0

 y = -4 x + 17  

 0 = -4 x + 17

-17 = -4x

   x = ¹⁷/₄

            ∴ point of the x-intercept is (¹⁷/₄, 0)

Graph the line

We can now plug in the points and draw the line.

See the example below.

Note: You only need two points to graph the line. I just did a third as a check.

Answer:

(1) 5

(2) 20

(3) 28

(4) 25

Step-by-step explanation:

(1)

Substitute: 7 - 2

Calculate the sum or difference:

Answer: 5

(2)

Substitute: 2 × 7 + 3 × 2

Calculate the product or quotient: 14 + 6

Calculate the sum or difference: 20

Answer: 20

(3)

Substitute: 2 × 7 × 2

Calculate the product or quotient: 28

Answer: 28

(4)

Substitute: (7 - 2) ²

Calculate the sum or difference: 5²

Calculate the power: 25

Answer: 25

Answer:

Step-by-step explanation:

7-2=5

2×7+3×2=20

2×7×2=28

(7-2)^2

7-2=5

5^2=25

Answer:

  A) $3100

  B) $6700

Step-by-step explanation:

The first table entry is the value of the opening balance of Caroline's account.

$3100 was in Caroline's account when it was opened.

__

After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...

  24 × monthly deposit + initial balance

  = 24 × $150 + $3100 = $3600 +3100 = $6700

Caroline would have saved $6700 after 2 years.

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.

Answer:

b = 39

Step-by-step explanation:

To complete the full circle would need 360°

So, the equation is:

b + 28 + 293 = 360

b + 321 = 360

b = 360 - 321

b = 39

Answer:

  0

Step-by-step explanation:

The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.

The slope of the new road should be zero.

[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]

[tex]\text{And length,}[/tex]

[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]

Answer:

Step-by-step explanation:

The numbers are in the form of:

When a = 16, b = 10 the number is:

Correct choice is A

Answer:

16x - 12

Step-by-step explanation:

6x + 2(5x - 6)

then 2 * 5 = 10x

then 2 * (-6) = -12

that will be 10x - 12

then you have 6x + 10x -12

combine the like terms which are 6x and 10x

then 16x - 12

The solution of the equation will be (16x - 12).

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

The expression is given as;

6x + 2(5x - 6)

Now,

Apply distributive property we can solve the equation as;

6x + 2(5x - 6)

6x + 2 × 5x - 2 × 6

6x + 10x - 12

16x - 12

Thus, The solution of the equation will be (16x - 12).

Learn more about the distributive property visit:

https://brainly.com/question/16374277

#SPJ5

Answer: 7

Step-by-step explanation:

it is trust me.

Answer:

0 and 1 and -2 and -3

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

25:75=75:?

25*3 is 75, so 75*3 is ?

75*3 is 225

Hope this helps!

Let me know if it does

Answer: 225 cats

Step-by-step explanation:

25 dogs x 3: 75 cats x 3

75 dogs: 225 cats

Answer:

=34

Step-by-step explanation:

4x+12x-6=4(4x+7) ur question

using BODMAS

4x+12x-6=16x+28

16x-6=16x+28

16x-16x=28+6

0=34

but make sure your question is right, can you go through it again

Answer:

Obtuse Angle

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

Answer:

c. -19

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given a polynomial in standard form

The leading coefficient is the coefficient of the variable with the largest exponent.

The term with the largest exponent of the variable is

[tex]\frac{1}{4}[/tex] [tex]x^{5}[/tex]

Then the leading coefficient is [tex]\frac{1}{4}[/tex] → A

Answer:

c (I think it is c, but I am not a 100% sure)

Step-by-step explanation:

x and y have to be same

Have a nice day! :-)

Answer:

  a.  ∞, -∞

Step-by-step explanation:

The line has negative slope, so the sign of the end value of y will be the opposite of the sign of the end value of x.

  x → -∞,  y → ∞ . . . . . off the top of the graph as x goes to the left

  x → ∞, y → -∞ . . . . . . off the bottom of the graph as x goes to the right

The end behavior is summarized as ...

  ∞, -∞ . . . . . matches choice A

Answer:

The year will be 5 years from the starting year

Step-by-step explanation:

because if you add 7% by 9,000 until you get 50,000 just count how many times you added

Step-by-step explanation:

the sum of the interior angles of a polygon (a closed object with n edges) is always (n-2)×180°.

we have here 5 edges, so the sum of all 5 angles is

(5-2)×180 = 3×180 = 540°.

now, let's simply calculate

5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 + 10x - 3 = 540

43x - 62 = 540

43x = 602

x = 14

therefore,

angle S = 13x - 31 = 13×14 - 31 = 182 - 31= 151°

Answer:

i think seventy two......72

Answer:

d=7

Step-by-step explanation:

7-2.125= 4.875

7 is your answer as it balances both sides of the equation.

i got seven by adding 2.125. to 4.875

Answer:

Step-by-step explanation:

1. add 2.125 to both sides of your equation

4.875 = d - 2.125

+2.125        +2.125

7 = d

The d is now isolated which allows us to see the answer is 7 for d

Answer:

\(x = 1\)

Step-by-step explanation:

Based on the given conditions, formulate: \(x = 12 \div 12\)

Cross out the common factor:\(x = 1\)

Answer: \(x = 1\)

Answer:

32

Step-by-step explanation:

y = 1/2sin[2(x + π/2)]. Now you can read that the graph is shifted from its standard starting position at (0, 0) left by π/2 and the period ...

Answer:

The fraction is 13/21.

Step-by-step explanation:

The denominator of a fraction is 8 more than its numerator.

Let x be the numerator: x

So the denominator is: x + 8

[tex]\frac{x}{x + 8}[/tex]

If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.

It will become:

[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]

[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]

Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.

It will become:

2x - 2 = x + 11

Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.

2x - x = 11 + 2

x = 13

So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])

Put the value of x in it.

[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]

[tex]\frac{12}{24} = \frac{1}{2}[/tex]

12/24 is equivalent to 1/2 so that is correct.

Now, to find the main fraction. Go back to the original equation which is;

([tex]\frac{x}{x + 8}[/tex])

Put the value of x.

[tex]\frac{13}{8 + 13}[/tex]

= 13/21

Not a verified expert but I put much effort to answer your question. Hope it helps:)

Answer:

Step-by-step explanation:

So you can do that for me and you have a lot to say I don’t want you have a lot