MATHEMATICS HIGH SCHOOL

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.If 75 pairs are sold, what's the company's profit?

a)$500
b)$1,450
c)$1,500
d) $2,250

Answers

Answer 1

Answer: Hello,

P(x)=20x-50
==>P(75)=20*75-50=1450
Answer B

Answer 2

Answer:

The correct answer is the second option!

B) $1,450

Just took the test on edgen & got it right! :)

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

Answers

Answer: y = -x + 5 and y = -x - 7 (see attached graph)

Step-by-step explanation:

y = $(9)/(x + 1)$

= 9(x + 1)⁻¹

Use the product rule to find the derivative

a = 9 a' = 0

b = (x + 1)⁻¹ b' = -(x + 1)⁻²

ab' + a'b

= 9[-(x + 1)⁻²] + 0[(x + 1)⁻¹ ]

= $(-9)/((x + 1)^(2))$

Set the derivative equal to the desired slope of -1 to solve for x

-1 = $(-9)/((x + 1)^(2))$

-(x + 1)² = -9

(x + 1)² = 9

√(x + 1)² = √9

x + 1 = +/- 3

x + 1 = 3 x + 1 = -3

x = 2 x = -4

Plug those values into the original equation to solve for y:

y = $(9)/(x + 1)$

= $(9)/(2 + 1)$

= 3

(2, 3)

y = $(9)/(x + 1)$

= $(9)/(-4 + 1)$

= -3

(-4, -3)

Next, plug in the given slope (-1) and the coordinates above into the Point-Slope formula y - y₁ = m(x - x₁) to find the equations:

m = -1, (x₁ y₁) = (2, 3) m = -1, (x₁ y₁) = (-4, -3)

y - 3 = -1(x - 2) y + 3 = -1(x + 4)

y - 3 = -x + 2 y + 3 = -x - 4

y = -x + 5 y = -x - 7

Answer:

$f(x)=\frac9{x+1}\n f'(x)=-\frac9{(x+1)^2}\n f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\n |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\n x_1=2\ \vee\ x_2=-4\n f(x_1)=f(2)=\frac9{2+1}=3\n f(x_2)=f(-4)=\frac9{-4+1}=-3$

First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

Second tangent line:

$y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7$

Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

WHICH TABLE DOES NOT REPRESENT A FUNCTION ANSWER ASAP !!!

Answers

Answer:

Step-by-step explanation:

A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs of congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted

Answers

from the figure we can express as Pythagoras theorem for rectangle triangles:

a^2 = r^2 + z^2

b^2 = r^2 + z^2

sen m = z/a
cos m = r/a

hence by the law of sines and cosines:

sen^2 m + cos^2 m = 1
(z/a)^2 + (r/a)^2 = 1

z^2/a^2 + r^2/a^2 = 1

substitue first equation value for a^2
z^2/(r^2 + z^2) + r^2/(r^2 + z^2) = 1

which proves that in fact is a triangle rectangle due to Pythagoras and sine-cosine laws, the same procedure can be follow for the other rectangle triangule in teh figure.

The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

Answers

$100\%-25\%=75\%=(75)/(100)=0.75\n\n100\%+20\%=120\%=(120)/(100)=1.2\n\n1.2\cdot0.75=0.9=0.9\cdot100\%=90\%\n\n100\%-90\%=10\%\n\nAnswer:Single\ reduction\ is\ 10\%.$

How do I solve a problem like -8(n+3)+28=-5n-5

Answers

-8(n+3)+28=-5n-5

-8n-24+28=-5n-5

-8n+4=-5n-5

-8n+4-4=-5n-5-4

-8n=-5n-9

-8n+5n=-5n+5n-9

-3n=-9

-3n/-3=-9/-3

n=3

n=3 is the correct answer

What is (5x + 3z) +9z simplified

Answers

5x+12z Because you take, 3z+9z and that is equivalent to 12z. and then you put the 5x back into the equation so it is 5x+12z

the answer is 8x+12z

your welcome

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