A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function
V(t) = 350 - 205, where t is the number of years since it was purchased and Vt) is its value in dollars) at that time. What is
the value of the painting 10 years after its purchase?

a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8) is: f(x) = - 2 (x + 3) (x - 1) (x - 4)

A cubic function is a function whose expression contains the cube of the x variable. A function is referred to as a cubic function if its formula is f(x) = ax³ + bx² + cx + d. a, b, c, and d can all be constants in this case, but make sure that a 0. The b, c, or d might all be zeros.

A cubic function has 3 roots.

Let, assume α, β and γ.

So, f(x) = K (x - α). (x - β). (x - γ)

f(x) is defined by values of x where f(x) = 0

0 = K (x - α). (x - β). (x - γ)

x = α, β, γ

The given cubic function graph is cutting x - axis at 3 points: (-3, 1 ,4)

Now, f(x) = K (x - (-3). (x - 1). (x - 4)

f(x) = K (x + 3) (x - 1) (x - 4)

Next, f(x) passes through point (0,8) which means:

f(0) = 8

so, 8 = K (0 + 3) (0 - 1) (0 - 4)

or, k = - 2

Now, f(x) = - 2 (x + 3) (x - 1) (x - 4)

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Answer:

A: Ralph y = 10 + 7.50x

Frank y = 10x

B: x = 4, y = 40

C: x = 4 means that in order for the companies to make the same amount of money, they have to sell 4 shirts each. When the companies sell 4 shirts (or multiples of 4) they are making the same amount of money.

Step-by-step explanation:

Because both equations are equal to y, set them equal to each other.

10x = 10 + 7.50x

2.5x = 10

x = 4

Plug in x to a y equation.

y = 10(4)

y = 40

Answer:

[tex] \approx \: 198.1 \: {cm}^{2} [/tex]

Step-by-step explanation:

Given figure consists of a parallelogram and two semicircles with diameters 14 cm and 8 cm

(Opposite sides of a parallelogram are equal in measure and they are the diameters of the semicircles)

Therefore,

Area of the figure = Area of the parallelogram with base 8 cm and height 12 cm + Area of semicircle with radius (14/2 = 7) 7 cm + Area of the semicircle with radius (8/2 =4) 4 cm

[tex] = b \times h + \frac{1}{2} \times \pi {(7)}^{2} + \frac{1}{2} \times \pi {(4)}^{2} \\ \\ = 8 \times 12 + \frac{1}{2} \pi(49 + 16) \\ \\ = 96 + \frac{1}{2} \times 3.14 \times 65 \\ \\ = 96 + 102.05 \\ \\ = 198.05 \\ \\ \approx \: 198.1 \: {cm}^{2} [/tex]

Answer:

6a

Step-by-step explanation:

Answer:

(3,18)

Step-by-step explanation:

You do not give the center of dilation, so I am using the origin (0,0)

You multiply the x and y by 3

(1,6)

1 x 3 = 3

(1,6)

6 x 3 = 18

(3,18)

9514 1404 393

Answer:

  400

Step-by-step explanation:

The statement of proportionality means the ratio of y to √x is the same. Then we can write ...

  (√x)/100 = (√81)/45

  √x = 100(√81)/45 = 20 . . . . . multiply by 100

  x = 20² = 400

x is 400 when y is 100.

Step-by-step explanation:

Lets first find the remainder when p(x) is divided by x-2

p(2)=2(2)³+b(2)²+3(2)-5

p(2)=16+4b+6-5

p(2)=4b+17

Now let's find the remainder when q(x) is divided by x-2

q(2)=(2)³+(2)²-4(2)-b

q(2)=8+4-8-b

q(2)=4-b

Now let's equate both of them

4b+17=4-b

4b+b=4-17

5b=-13

b=-13/5 as required

The linear equation in this case is . The [tex]$3 x^2+4 x+4=0$[/tex] answer is [tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex] and [tex]$3 y^2+2 x+4=0: \quad$[/tex]: quadratic [tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex] , is the solution.

[tex]$3 x^2+4 x+4=0 \quad: \quad x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}$[/tex]

[tex]$3 x^2+4 x+4=0$[/tex]

Apply the quadratic formula to the problem. [tex]$x_{1,2}=\frac{-4 \pm \sqrt{4^2-4 \cdot 3 \cdot 4}}{2 \cdot 3}$[/tex]

Simplify [tex]$\sqrt{4^2-4 \cdot 3 \cdot 4}: \quad 4 \sqrt{2} i$\\[/tex]

[tex]$x_{1,2}=\frac{-4 \pm 4 \sqrt{2} i}{2 \cdot 3}$[/tex]

Distinguish the answers

[tex]x_1=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}, x_2=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}\\x=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}\\x=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

The following are the quadratic equation's solutions:

[tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]

2) [tex]$3 y^2+2 x+4=0: \quad$[/tex] A parabola with a focal length of and a vertex at (h,k)=(-2, 0) [tex]$|p|=\frac{1}{6}$[/tex]

[tex]$3 y^2+2 x+4=0$[/tex]

[tex]$4 p(x-h)=(y-k)^2$[/tex] is the common formula for a right-to-left parabola with a vertex at (h, k) and a focal length of |p|.

Rewrite [tex]$3 y^2+2 x+4=0$[/tex]  using the proper form: [tex]$4\left(-\frac{1}{6}\right)(x-(-2))=(y-0)^2$[/tex]

The following are characteristics of parabolas:

[tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex]

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Answer:

No it is not an exponential function

volume of cone

= ⅓πr²h

= ⅓ × 3.14 × 9 × 9 × 12

= 3.14 × 3 × 108

= 3.14 × 324

= 1017.36 cm³

Answer:

3

Step-by-step explanation:

2,082/694 = 3

Answer:

3

Step-by-step explanation:

2,082/694 = 3

Answer:

1

Step-by-step explanation:

Answer:

I believe it is 1

Step-by-step explanation:

Answer:

Expression: 48x + 120y & Area = 1,008 square feet

Step-by-step explanation:

12(4x + 10y)

multiple the 12 into 4x + 10y

12 x 4x = 48x

12 x 10y = 120y

48x + 120y

x = 6 ft

y = 4 ft

Substitite in numbers

48x + 120y

48(6) + 120(6)

Multiply

288 + 720

Add

288 + 720 = 1,008 square feet

The values of the variables in the circles are

From the question, we have the following parameters that can be used in our computation:

Circles and missing angles (see attachment for the figures)

Circle 1

To determine the unknown variable (a), we make use of the following theorem

The angle subtended by an arc at the circumference is twice the angle subtended at the circumference

Mathematically, this means that

a = 2 * 17 degrees

Evaluate the product

a = 34 degrees

Circle 2

To determine the unknown variable (a), we make use of the following theorem

The angle at the circumference in a semicircle is 90 degrees.

Mathematically, this means that

b = 90 degrees

Also, we have

a + 122 degrees = 180 degrees

Evaluate

a = 58 degrees

Using the theorem in (a), we have

b + a/2 + c = 180

This gives

90 + 58/2 + c = 180

Evaluate the like terms

c = 61 degrees

Hence, the angle c is 61 degrees

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Answer:

23/4

Step-by-step explanation:

5*4 = 20

20+3=23

Answer:

23/4

Step-by-step explanation:

I learned it like this

4x5+3

So basically you multiply the bottom number with the whole number on the side and add the top number to it

And 4x5+3=23

You keep the bottom number of the mixed number

So it's 23/4

(I'm not super good at explaining things, but I hope this helped)

Answer:

x≤ −6/ 17

Step-by-step explanation:

Let's solve your inequality step-by-step.

−34x≥12

Step 1: Divide both sides by -34.

−34x/ −34 ≥ 12/ −34

x≤ −6/ 17

Answer:

x≤ −6/ 17

D I think 13.34

Step-by-step explanation:

Answer:

Choice B 2 and -2

Step-by-step explanation:

2 would be opposite of -2

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Answer:

11.4

Step-by-step explanation:

Its a right triangle so we can use the Pythagorean Theorem to solve it

Answer:

43 feet 9 inches

Step-by-step explanation:

Since there are 12inches in a feet you would have to first make the feet in to inches so 8x12 which would give you 96in and since there 9 extra inches you would add them to get 96+9=105inches then you muiltiply by 5 and lastly you make them back in to feet by dividing by 12 since there are 12inches in a feet. It would look like this: 525/12= 43.75 or 43ft and 9in

Answer:

it would be a rectangular pyramid

Answer:the interest would be $3,500

Step-by-step explanation:  you have to multiply all of the numbers together but change the 3.5% to a decimal of 0.035

Answer:

36 estimated amount of people

Hope this helps!!!! Love the pig pic btw ^-^

So there's 30 people or slots. The odds that Fatheya will be chosen to perform first is 1/30. But now there's one less slot.

Now with Fatema, there's 29 slots, so there's a 1/29 chance. Then combine these values by multiplying them:

1/30 * 1/29 = 1/870

All done!

Answer:

1+1=2

Step-by-step explanation:

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