The price of silver has increased by 25% per year from 2000. In the year 2000,Harry bought a silver bowl for $170. Write a function F(x) that can be used to represent the price of the bowl in x years after 2000

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3)) = 3 + (4x² - 15x - 4) / ((x² + 4) (x - 3))

Now decompose the remainder term into partial fractions:

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = (ax + b) / (x² + 4) + c / (x - 3)

Multiply both sides by the denominator on the left:

4x² - 15x - 4 = (ax + b) (x - 3) + c (x² + 4)

Expand the right side:

4x² - 15x - 4 = ax² + (b - 3a) x - 3b + cx² + 4c

4x² - 15x - 4 = (a + c) x² + (b - 3a) x - 3b + 4c

Then

a + c = 4

b - 3a = -15

-3b + 4c = -4

Solve this system to get

a = 5, b = 0, c = -1

We end up with

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = 5x / (x² + 4) - 1 / (x - 3)

and so

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3))

= 3 + 5x / (x² + 4) - 1 / (x - 3)

Answer:

you have to give me more information

Step-by-step explanation:

Answer:

m = -72

Step-by-step explanation:

m = 6

36 - 6m,

36 - 6(6)

using pemdas, you get 36 - 36,

-36, + -36

and you get -72,

so m = -72

hope this helps

Answer: The size and shape will only change when the transformation being made to the figure is a dilation. Since it is only being translated, its image and preimage are still congruent in size.

Step-by-step explanation:

For dilation, the size and shape of a figure only changes when transformed while if translated, the image and preimage  of the figure remains congruent in size.

Transformation is a way of changing the size and shape of an object in an xy-plane

Some of the transformation techniques used are translations and dilation

For dilation, the size and shape of a figure only changes when transformed while if translated, the image and preimage  of the figure remains congruent in size.

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13. 5m-10

14. 8y+16

15. -3m-12

16. a^2+3a

17. h^2-2h

18. 2m^2+8m

19. -2z+16

20. -4x^2+40

50% or 1/6

Its because half the numbers would be even.

Answer:

f+1/4= -7/2

f= 15/4 or -3 3/4 as a mixed number

Hope this helps.... Stay safe and have a great week!! :D

Answer:

a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Step-by-step explanation:

Original equation: w=3(2a+b)-4

1. Distribute the 3 to the numbers inside parenthesis to get:

    w=6a+3b-4

2. Subtract 6a from both sides to get:

    -6a+w=3b-4

3. Subtract w from both sides to get:

    -6a=3b-4-w

4. Divide both sides by -6 and simplify to get:

    a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w

Answer:

12b.) d ≈ 6 (d = 5.9895833) and d represents the number of days you're renting for.

Step-by-step explanation:

Set up an equation:

(c + h)(d) = 600

(c + h)(d) = 96d + 25

96d + 25 = 600

Subtract 25 on both sides to isolate the d term:

(96d + 25) - 25 = (600) - 25

96d = 575

Divide by 96 on each side to fully isolate d:

(96d) ÷ 96 = (575) ÷ 96

d ≈ 5.9895833

Approximate to: d = 5.9896 or 6 (depending on how exact your answer has to be)

The value of d in this situation represents the number of days you're renting for.

Hope this helps! I'd appreciate brainliest but if not that's fine!

Answer:

Yes

Step-by-step explanation:

This is rational because its in a pattern that is repeating

Answer:

3 pizzas

Step-by-step explanation:

34-4=30

30/10=3

Answer:

3 pizzas

Step-by-step explanation:

34-4=30 since we already know the delivery fee

30/10=3 since we have 30 dollars left without the delivery fee we are just left to divide 30 by 10 to get the total number of pizzas

Answer:

C.

Step-by-step explanation:

cytosine and guanine are 2 of the 4 main chemical bases in DNA

Can I have brainly?

Answer:

since it bisects angles 1 and 2 this makes them equivalent to each other

angle 1 = angle 2

and if angle 1 is equal to angle 3 than angle 2 must also be equal to angle 3

Answer:

5) x

6) -7

7) 3

Step-by-step explanation:

if you fill in those numbers and solve, x times x = [tex]x^{2}[/tex], x times -7 = -7x, 3 times x = 3x, and -7 times 3 = -21.

Answer:

it A

Step-by-step explanation:

tan c=opp c/adj c

tan c=7/16

tan c=0.44

Answer:

D

Step-by-step explanation:

The tangent of C = opposite (7) over the adjacent (18)

Tan C = 7/18

Tan C = 0.388

The closest answer is D

Answer: x=5.75

Step-by-step explanation:

4x+5=28

subtract 5 from both sides

4x=23

divide both sides by 4

x=5.75

In the given figure it looks like rhombus , so we know that all sides of rhombus are equal

Thus

FG=EG

28=4x+5

28-5=4x

23=4x

x=23/4

3.6

2.1(2.1) - 0.9(0.9)

4.41 - 0.81 = 3.6

Answer:

ACB:64   ACD:116  GFH:64  EFG:26

Step-by-step explanation:You could see how the angles are located.

Answer:

A ) Adjacent  and supplementary  B) Adjacent n neither C) is the same as A D) Non adjacent n complementary

Step-by-step explanation:

The Small arrow is Non adjacent or adjacent and under the big one is complementary, supplementary or neither

The mathematical statement as an expression is 3/w - v

The mathematical statement is given as

v fewer than the quotient of 3 and w

The quotient of numbers means division

So, we have

v fewer than the 3/w

V fewer than means - v

So, we have

3/w - v

Hence, the mathematical statement as an expression is 3/w - v

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Answer:

The x coordinate of the vertex is 0.

Step-by-step explanation:

y=2x(x+4)

y = 2x^2 + 8

Vertex form is

y = 2(x - 0)^2 + 8.

So, the vertex is at (0, 8)

Answer:

-3x-11x²+7

Step-by-step explanation:

For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?

The value of tan(2x) is equal to -4/3

Please let me know if you have any other questions

The value of tan(2x) will be -1.333.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given that,

cosx = 1/√5

x = 63.435°

Now tan2x = tan2(63.435)

tan(126.87) =-1.333

Hence the correct answer to the given question will be -1.33.

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Answer:

1) Subtraction Property of Equality

2) Multiplication Property of Equality

3) Addition Property of Equality

4) Division Property of Equality

Step-by-step explanation:

We proceed to present the correct answer to this question and explain the reason behind the election of each option below:

1) [tex](6+3)-3 = 9 - 3[/tex] Subtraction Property of Equality

Reason - Subtraction is a particular form of addition based on the consideration of the existence of additive inverses. The subtraction property of equality is defined as:  [tex]a = b[/tex] if and only if  [tex]a+(-c) = b+(-c)[/tex].

2) [tex](6+3)\times 3 = 9 \times 3[/tex] Multiplication Property of Equality

Reason - The multiplication property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c = b\cdot c[/tex].

3) [tex](6+3)+3 = 9+3[/tex] Addition Property of Equality

Reason - The addition property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a+c = b+c[/tex].

4) [tex](6+3)\div 3 = 9 \div 3[/tex] Division Property of Equality

Reason - The division is a particular form of multiplication based on the consideration of the existence of multiplicative inverses. The division property of equality is defined as: [tex]a = b[/tex] if and only if [tex]a\cdot c^{-1} = b\cdot c^{-1}[/tex].

Answer:

y = 40             x = 80

Step-by-step explanation:

520 = 3.25x + 6.5y     and   x+y=120

x+y=120

x = 120-y

520 = 3.25(120-y)+6.5y

520 = 390-3.25y+6.5y

520 = 390+3.25y

130=3.25y

40 = y

x = 120-y

x = 120-(40)

x = 80

here's a graph

Answer:

-1/2 is the work

Step-by-step explanation:

hope this helped

The location of the x value of R' after using the translation rule is 28

The translation rule is given as:

(x + 4, y - 7)

The pre-image of R is located at (24, -13)

Rewrite as

R = (24, -13)

When the translation rule is applied, we have:

R' = (24 + 4, -13 - 7)

Evaluate

R' = (28, -20)

Remove the y coordinate

R'x = 28

Hence, the location of the x value of R' after using the translation rule is 28

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Answer:

[tex]--------------------------------------------[/tex]

[tex]\frac{3}{4}\cdot\frac{-1}{8}[/tex] = [tex]-0.09375[/tex] [tex]or[/tex] [tex]-\frac{3}{32}[/tex]  

[tex]\frac{3}{4}\cdot-\frac{1}{6}[/tex] = [tex]-0.125[/tex] [tex]or[/tex] [tex]-\frac{1}{8}[/tex]

[tex]--------------------------------------------[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{3}{4}\cdot-\frac{1}{6}[/tex] = [tex]-0.125[/tex] [tex]or[/tex] [tex]-\frac{1}{8}[/tex]

[tex]or[/tex]

If you meant [tex]\frac{-1}{8}[/tex], [tex]then[/tex]

[tex]\frac{3}{4}\cdot\frac{-1}{8}[/tex] = [tex]-0.09375[/tex] [tex]or[/tex] [tex]-\frac{3}{32}[/tex]  

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

the simplified form of 3/4 x - 1/6 is (9x - 2) / 12.

To simplify the expression 3 / 4 x - 1 / 6, we can find a common denominator for the fractions and then combine the terms.

The common denominator for 4 and 6 is 12.

Multiplying the first term by 3 / 3 and the second term by 2 / 2 to get the same denominator:

(3 / 4) x (3 / 3) - (1 / 6) x (2 / 2)

This gives us:

9/12 x - 2/12

Now, we can combine the terms:

(9x - 2) / 12

Therefore, the simplified form of 3/4 x - 1/6 is (9x - 2) / 12.

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An equation of the parabola with focus (2, 2) and vertex (2, 6) is  mathematically given as

(x-2)^2=-16(y-6)

This is further explained below.

Generally, A planar curve that is mirror-symmetrical and has an approximation of the form of the letter U is called a parabola.

It agrees with a number of mathematical descriptions that, at first glance, seem to be very distinct from one another, but which can be shown to describe the same curves. A point and a line are two components that may be used to describe a parabola.

In conclusion, It can be shown theoretically that the equation of the parabola with focus (2, 2) and vertex (2, 6) is as follows:

(x-2)^2=-16(y-6)

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