Mom paid me 15.00 i now have 47’.00 how much did I start with

The polynomial that represents the length is:

h(x) = 11x + 1.

We know that the area of the top surface is given by:

f(x) = 66x^2 + 17x + 1

And the width of the top surface is:

g(x) = 6x + 1.

We can assume that the length, h(x), is another polynomial of degree 1, so we can write:

h(x) = a*x + b

Now, the area is the product of the width and the length, so we have:

f(x) = g(x)*h(x)

f(x) = (6x + 1)*(ax + b)

     =   6ax^2 + (6b)x + (a)x + b

     =   (6a)x^2 + (6b + a)x + b

Now let's compare this with f(x), correspondent coefficients must have the same value.

66x^2 + 17x + 1 = (6a)x^2 + (6b + a)x + b

Then we have:

66 = 6a

17 = 6b + a

1 = b

From the first equation we have:

66/6 = a = 11

And from the third:

b = 1

Then the length is:

h(x) = 11x + 1.

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The profit function of the company is the difference between the cost and the revenue functions of the company

The given parameters are:

C(x) = 60x + 300 --- the cost function

R(x) = 100x - 0.5x^2 ---- the revenue function

The profit function is calculated as:

P(x) = R(x) - C(x)

So, we have:

[tex]P(x) = 100x - 0.5x^2 - 60x - 300[/tex]

Rewrite as:

[tex]P(x) = - 0.5x^2 + 100x - 60x - 300[/tex]

[tex]P(x) = - 0.5x^2 + 40x - 300[/tex]

This means that the expression of the profit function is [tex]- 0.5x^2 + 40x - 300[/tex]

This means that:

P(x) = 50

So, we have:

[tex]- 0.5x^2 + 40x - 300 = 50[/tex]

Subtract 50 from both sides

[tex]- 0.5x^2 + 40x - 350 = 0[/tex]

Multiply through by -2

[tex]x^2 - 80x + 700 = 0[/tex]

Expand

[tex]x^2 - 70x - 10x + 700 = 0[/tex]

Factorize

[tex]x(x - 70) - 10(x - 70) = 0[/tex]

Factor out x - 70

[tex](x - 10)(x - 70) = 0[/tex]

Solve for x

x = 10 or x = 70

Hence, the two values of x that creates a profit of $50 are x = 10 and x = 70

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y'' + 5y' + 6y = 0

has characteristic equation

r² + 5r + 6 = (r + 2) (r + 3) = 0

with roots at r = -2 and r = -3, hence the differential equation's characteristic solution is

[tex]y(t) = C_1 e^{-2t} + C_2 e^{-3t}[/tex]

Given that y(0) = 1 and y'(0) = 2, we have

[tex]y(t) = C_1 e^{-2t} + C_2 e^{-3t} \implies 1 = C_1 + C_2[/tex]

[tex]y'(t) = -2C_1 e^{-2t} - 3C_2 e^{-3t} \implies 2 = -2C_1 - 3C_2[/tex]

and solving the resulting system of equations yields C₁ = 5 and C₂ = -4.

So the particular solution to the ODE is

[tex]\boxed{y(t) = 5 e^{-2t} - 4 e^{-3t}}[/tex]

Answer:

x =(2+√40)/18=(1+√ 10 )/9= 0.462

or:

 x =(2-√40)/18=(1-√ 10 )/9= -0.240

Answer:

X

Step-by-step explanation:

[tex]36 {}^{x} (6 {}^{x - 2} )[/tex]

[tex]36 {}^{x} ( \frac{6 {}^{x} }{6 {}^{2} } )[/tex]

[tex]36 {}^{x} ( {6}^{x} ) \frac{1}{6 {}^{2} } [/tex]

[tex]6 {}^{2} (6 {}^{x} )6 {}^{ - 2} [/tex]

[tex]6 {}^{x} [/tex]

F(x)=x.

Answer: f (x) = 3x-2

Step-by-step explanation:

Answer:

0, 3, -6, 7

Step-by-step explanation:

x(x − 3)(x + 6) (x – 7) = 0

so x = 0

or x - 3 = 0, x = 3

or x + 6 = 0, x = -6

or x - 7 = 0, x = 7

Answer: 0, 3, -6, 7

Answer:

6

Step-by-step explanation:

6 in hundred thousands place

Answer:

Six is the correct answer.

Answer:

768$

Step-by-step explanation:

I multiplied 24$ times 32.

Answer: y=25x

Step-by-step explanation:

Answer:

It is, in fact, a rational number.

Answer:

the answer is 48.139 in²

Step-by-step explanation:

I took the test.

48.139 in² of the figure area is painted yellow in color.

An area is amount of space occupied by a two dimensional shape or object.

The area of the figure = Area of the square + Area of the triangle

Area of the figure = (7 in * 7 in) + (1/2) * (12 * 7) = 91 in²

Since 52.9% of the area is painted yellow, hence:

Area painted yellow = 52.9% of 91 = 48.139 in²

48.139 in² of the figure area is painted yellow in color.

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Answer:

i believe the answer is 9.1

Step-by-step explanation:

6.5 x 40% or in other words .4 is 2.6.

then you add 2.6 to 6.5 and that gives you 9.1

Answer:

x = 15/8

Step-by-step explanation:

Let x = unknown number

Given:

some number minus -15 is equal to the product of the number and 9

⇒ x - -15 = x · 9

⇒ x + 15 = 9x

⇒ 15 = 9x - x

⇒ 15 = 8x

⇒ x = 15/8

Answer:

15/8

Step-by-step explanation:

Let's assume that the number is 'n'. Provided that number 'n' minus -15 is equal to the product of the number 'n' and 9. Simply jot down the above statement in mathematical form:

[tex] \implies\:\sf{\red{n \: - \: ( - 15) \: = \: n \: \times \: 9}}[/tex]

Now, simply solve the above equation.

[tex]\implies\:\sf{n \: + \: 15 \: = \: 9n}[/tex]

Take the like terms on one sides.

[tex]\implies\:\sf{9n \: - \: n \: = \: 15}[/tex]

Do the rest calculations.

[tex]\implies\:\sf{8n \: = \: 15}[/tex]

[tex]\implies\:\sf{\red{n \: = \: \dfrac{15}{8}}}[/tex]

Hence, the required value of n is 15/8.

Answer:

12

Step-by-step explanation:

30*(100-60)/100

30*4/10

3*4

12

sale price =12 (answer) this means the cost of the item to you is 12$. you will pay 12$ for a item with original price of 30$ when discounted 60% off 30%

Answer:

0.8

Step-by-step explanation:

Convert 71/100 into a decimal

.71

0.8 > .71

Answer:

C. 240 in^2

Step-by-step explanation:

is it stated that two triangles are similar.

If they are similar then their area must be proportional too.

The side lengths' proportion is :

12/60 = 1/5 this can be used to find the area of the smaller triangle, ABC
Let x represent the are of triangle ABC

1/5 = x/1200 cross multiply both sides

5x = 1200 divide both sides by 5

x = 240 since the area is indicated with square value so the answer is

C. 240 in^2

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we draw diameter through A and let it meet the circumference at D .

Let O be the center.

∠DAC=90-40=50°

∠DOC=2×50=100°

arc ABD=180°

arc ABC=180+100=280°

Answer:

The answer to this question is 60degree

Answer:

The answer isn't listed in your options, are you sure you didn't make any typos?

Step-by-step explanation:

29*63=1,827

Answer:

~Male Y/n here~ I think that your A will be 77 feet in distance and your B would be 25 feet above ground.

(Hope this helps!)

Answer:

Step-by-step explanation:

this involves any number that when subtracted or added it gives each other the values of the family

7 + 6 equals 13, 13 - 6 equals 7,

please mark me brainiest

^_^

Answer:

7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6b

Step-by-step explanation:

I studied. :)

Answer: none

Step-by-step explanation: there are no WHOLE numbers between 39

Answer:

240 ounces is your answer

Answer:

5.4

Step-by-step explanation:

x2-12x+36 = 90

=> 2x - 12x + 36 = *90

=> 2x - 12x = 90 - 36

=> -10x = 54

=> (-10x)/-10 = (54)/-10

=> x = 5.4

Step-by-step explanation:

Let first find the x and y xomponets.

X componets is 8 and the y componets is -7 so

[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

[tex]r = \sqrt{ 64 + 49} [/tex]

[tex]r = \sqrt{113} [/tex]

[tex] \csc(x) = \frac{r}{y} [/tex]

So

[tex] \csc(x) = - \frac{ \sqrt{113} }{ 7} [/tex]

Answer: Your answer is 3.53 as a Decimal.

Hope this helps!

Answer:

3.53

Step-by-step explanation:

If you have been wondering what is 353% in decimal form, or if you have been looking for how to change 353% to decimal, then you are definitively right here.

353%, 353 pct and 353 percent all mean 353 by the hundred. 353 percent as a decimal equals:

353% as a decimal = 3.53

353 percent as a decimal = 3.53

Presumably, the first limit is some finite number

[tex]\displaystyle \lim_{x\to\pi} \frac{f(x)}{x-\pi} = c[/tex]

Since x - π clearly approaches 0 as x approaches π, we must also have f(x) approaching 0,

[tex]\displaystyle \lim_{x\to\pi} f(x) = 0[/tex]

Recall the double angle identity,

sin(2t) = 2 sin(t) cos(t)

and rewrite the limit as

[tex]\displaystyle \lim_{x\to\pi} \frac{\sin(2 f(x))}{x - \pi} = \lim_{x\to\pi} \frac{2 \sin(f(x)) \cos(f(x))}{x - \pi} = 2 \lim_{x\to\pi} \frac{\sin(f(x))}{f(x)} \times \frac{f(x) \cos(f(x))}{x - \pi}[/tex]

Recall that

[tex]\displaystyle \lim_{x\to0}\frac{\sin(x)}x=1[/tex]

which means

[tex]\displaystyle \lim_{x\to\pi}\frac{\sin(f(x))}{f(x)} = \lim_{f(x)\to0}\frac{\sin(f(x))}{f(x)} = 1[/tex]

and by continuity,

[tex]\displaystyle \lim_{x\to\pi} \cos(f(x)) = \cos\left(\lim_{x\to\pi} f(x)\right) = \cos(0) = 1[/tex]

Then

[tex]\displaystyle 2 \lim_{x\to\pi} \frac{\sin(f(x))}{f(x)} \times \frac{f(x) \cos(f(x))}{x - \pi} \\\\ = 2 \left(\lim_{x\to\pi}\frac{\sin(f(x))}{f(x)}\right) \left(\lim_{x\to\pi} \frac{f(x)}{x-\pi}\right) \left(\lim_{x\to\pi}\cos(f(x))\right) \\\\ = 2 \times 1 \times c \times 1 = \boxed{2c}[/tex]

Answer:

To find the x-intercept, substitute in 0 for

y and solve for x. To find the y-intercept, substitute in 0

for x and solve for y. x-intercept(s): (2^3,0) y-intercept(s):

(0,−2)