1. Use the picture to answer the following questions.

2. Find the missing value(s) in the ratio table.

The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). For example -

y = 4x⁴ + 3x³ + 2x² + 6x + 7

We have the following polynomial -

y = 2x⁴ - 5x³ + x² - 2x + 4

Now -

at x = 0, y = 4

at x = 1, y = 0

at x = 2, y = 32 - 40 + 4 - 4 + 4 = - 4

Refer to the graph attached. The points (0, 4), (1, 0) and (2, - 4) are plotted.

Therefore, the graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

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a ) The expression for the radius of the circle = r = 2x + 3

b ) The least possible value of radius is - 1.5

Given : Area of the circle = 4πx² + 12πx + 9π

a) The expression for the radius of the circle = r = 2x + 3

we can find this out by middle term split

we can write the area of the circle as

4πx² + 12πx + 9π

4πx² + 6πx + 6πx + 9π

this implies 2πx ( 2x + 3 ) + 3π ( 2x + 3 )

π( 2x + 3 ) ( 2x + 3 )

thus the radius expression is 2x + 3

b ) The least possible value of radius is 2x + 3 = 0

this implies 2x = - 3

x = - 1.5

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The doubling time will be 4.4 years for a city is population is growing by 17% per year.

It's time to double down on the time-doubling equation (pun intended). On the assumption that the growth in amount remains constant from one period to the next, the equation is as follows:

Doubling time = log 2 / log (1 + increase)

It has given that the population of the city is growing back 17% per year.

Doubling time = log 2 / log (1 + increase)

Doubling time = log 2 / log (1 + 17/100)

[tex]\mathrm{Apply\:log\:rule}:\quad \frac{\log _c\left(b\right)}{\log _c\left(a\right)}=\log _a\left(b\right)[/tex]

[tex]=\log _{1+\frac{17}{100}}\left(2\right)[/tex]

Doubling time = 4.41484

Round to the nearest tenth decimal.

Doubling time = 4.4

Thus, the doubling time will be 4.4 years for a city is population is growing by 17% per year.

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We can conclude that (C) Gibbons will live in a building that is similar to the Chimpanzee's rectangular house.

So, observe the given shapes on the graph:

Therefore, we can conclude that (C) Gibbons will live in a building that is similar to the Chimpanzee's rectangular house.

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Answer:

No

Step-by-step explanation:

It does not make sense becuse 6x9=54

And 4x9(2)=72 so it would make no sense

The answer will be A-3*13.75+30 using arithmetic operation.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Alisha used her bank card to buy a bus pass 3 times.

Each time she bought a pass it cost her $13.75,

She then deposited $30 into her bank account.

So the expression A-3*13.75+30

A is the initial value.

Hence this will be the expression A-3*13.75+30

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Answer:_______________________________

The explicit form of the arithmetic sequence is

5, 13, 21, 29, .....

What is arithmetic sequence?

A sequence of numbers is said to be in arithmetic progression if the difference between the consecutive terms of the series are same

If the first term is a, common difference is d, then nth term of the sequence is given by

[tex]a_n = a + (n-1)d[/tex]

The recursive form of the given arithmetic series is

[tex]a_n = a_{n-1} + 8[/tex]

First term [tex]a_1 = 5[/tex]

[tex]a_2 = a_1 + 8\\a_2 = 5 + 8\\a_2 = 13[/tex]

[tex]a_3 = a_2 + 8\\a_3 = 13 + 8\\a_3 = 21[/tex]

[tex]a_4 = a_3 + 8\\a_4 = 21+8\\a_4 = 29[/tex]

So the explicit form of the arithmetic sequence is

5, 13, 21, 29, .....

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Answer:

The answer would be A. (Not sure if its A B C or D question but I will have picture below)

Step-by-step explanation:

Hope this helps you! :))

If you do not pay anything on that loan during the year and assuming there is no compounding, the total sum owing is $1,216.50.

When money is given to someone else with the knowledge that it would be returned with interest, it is referred to as a loan. . Lenders will consider a borrower's income, credit rating, and level of debt before deciding to grant a loan.

Money borrowed from a bank or other financial organization is known as a loan. The borrower consents to repay the loan's principal plus interest. There are many different kinds of loans, such as auto loans, student loans, and mortgages.

The amount is 1000(1 + 0.0765), or 1000 x 1.0765, or 1,076.50.

Punishment equals 12(0.02 x 1000) = 12(20) = 240.

The total sum owing is $1,216.50 (1,076.50 plus 240).

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Answer: 17/5 or 3.4

Step-by-step explanation:

Substitute  p for 3/5 so it would be 2/3(3/5)+3

2/3(3/5)= 2/5

2/5+3=17/5 or 3.4

Hope this helps :)

Answer:

Step-by-step explanation:

Substitute  p for 3/5 so it would be 2/3(3/5)+32/3(3/5)= 2/52/5+3=17/5 or 3.4

Weight of cat when 13 grams food is fed is 151.11 ounces.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign.  LHS = RHS (left hand side = right hand side) appears in all mathematical equations. You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity.

Given, the formula for weight,

W = 0.86[tex]g^{2}[/tex] - 0.01g + 5.9

    = 0.86[tex](13^{2} )[/tex] - 0.01*13 + 5.9

    = 0.86*169 - 0.13 + 5.9

    = 145.34 - 0.13 + 5.9

    = 151.11 ounces

Therefore, the weight of the cat will be 151.11 ounces.

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Answer:

  $920

Step-by-step explanation:

You want to know the original price of a suit on sale for $331.20, if that price represents a 64% discount.

The discounted price is found by subtracting the amount of the discount from the original price. That amount is the product of the original price and the rate of the discount.

  discounted price = price - (discount)·(price)

  discounted price = price · (1 - discount)

The the original price is ...

  price = (discounted price)/(1 - discount) = $331.20/(1 -0.64)

  price = $920

The original price of the suit was $920.00.

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Answer:

The answer to your question is,

MEAN = 43.6

MEDIAN = 43

MODE = 43

RANGE = 5

Step-by-step explanation:

BC  I know math :)

Answer:

1  :  4

Step-by-step explanation:

There are 4 squares and 16 triangles.

That is,

Squares : Triangles

          4  :  16

To write it in its simplest ratio, divide both by 4.

Squares : Triangles

         1  :  4

Answer:

[tex]\frac{7}{4}[/tex] or 1 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

I am not sure if you meant 6x or 6+x at the end of the equation. I went with what was written.

5x -3(x-3) = -5 +4x +6x  Distribute the -3

5x -3x + 9 = -5 + 4x + 6x  Combine like terms

2x + 9 = -5 + 10x  Subtract 2x from both sides

9 = -5 + 8x  Add 5 to both sides

14 = 8x  Divide both sides by 5

[tex]\frac{14}{8}[/tex] = x

[tex]\frac{7}{4}[/tex] o r 1 [tex]\frac{3}{4}[/tex]

The 6th term of this sequence is 360

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

Sequence representation = 2n² × 5

This means that

nth term = 2n² × 5

So, we have

f(n) =  2n² × 5

For the 6th term, the value of n is 6

i.e. n = 6

Substitute the known values in the above equation, so, we have the following representation

f(6) =  2(6)² × 5

Evaluate

f(6) =  360

Hence, the 6th term s 360

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Answer:

.

Step-by-step explanation:

For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Here,

a. No for every 4 beef cattle there is 3 dairy cattle.

b. 4/3=x/24

x=4*24/3

x=32 beef cattle

There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.

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Answer:

2 pairs of parallel sides

The equation of line parallel to 2x +3y = 9 and passing through the point (6,4) is 3y + 2x = 24

Gradient or slope is the ratio of the change in y to the change in x between two points in a line.

Gradient tells how steep a line is. A perfectly vertical or horizontal line has no slope.

2x + 3y = 9

making y the subject,

3y = 9 - 2x

y = 9/3 -2x/3

Comparing the above equation, with equation of a straight line, y = mx + c

m, which is slope = -2/3

The new line will also have a slope of -2/3 because they are parallel.

Equation for new line,

y-[tex]y_{1}[/tex] / x - [tex]x_{1}[/tex] = slope

The new point is (6,4)

y - 4 / x -6 = -2/3

By cross multiplying

3(y-4) = -2(x - 6)

3y - 12 = -2x + 12

3y + 2x = 24

In conclusion, the equation o the new line is 3y + 2x = 24

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The solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is -5ax⁶(2ax⁴ + 7x²). The solution of the expression will be done as,

E =  -5ax⁶(2ax⁴ + 7x²)

E = -10a²x¹⁰-35ax⁸.

Therefore, the solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.

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The required angles of x and y are x = 65° and y = 25°

Given is a triangle which is right angled

Thus the sum of the right angled triangle is 180 degrees

So we will write

y° + x + 90 = 180 [ angle sum property of the triangle ]

90 + x + y = 180

let the above equation be considered as equation 1

Since two sides are equal

thus the other angle will also be x°

Also the angle adjacent to 40° can be found out by linear angle property

thus according to this :

x + x + ( 90 - 40 ) = 180 °

2x + 50 = 180

thus subtracting 50 on both sides we get

2x = 130

x = 65°

Thus by equation 1

we can rewrite it as

y + x + 90 = 180

65 + 90 + y = 180

155 + y = 180

this implies y = 180 - 155

y = 25°

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Answer:Qadrant 4

Step-by-step explanation:

a) The penalty Lorna must pay for the late payment of her real estate tax is $26.50.

b) The total amount Lorna must pay on February 27 is $2,037.38.

The penalty for unpaid taxes is computed by determining the number of days the taxes remained unpaid.

Then the penalty rate is applied to the unpaid taxes multiplied by the number of days taxes were outstanding, divided by 365 days.

The product of the above multiplication and division operations is the penalty.

Outstanding real estate tax = $2,010.88

Due date for the tax = December 14, 2017

Payment date for the tax = February 27, 2018

Number of days, tax outstanding = 74 days

Penalty rate for late payment = 6.5%

Penalty = $26.50 ($2,010.88 x 6.5% x 74/365)

Total payment on February 27 = $2,037.38 ($2,010.88 + $26.50)

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Answer:

49

Step-by-step explanation:

35+14=49

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The table of the equivalent ratios is:

Toss     Dollars  

5             2

30           12

45           18

The points are plotted in the diagram below.

Applying the knowledge of ratios we can create a table of equivalent ratios, given that it cost $12 to toss 30 rings.

Therefore, the ratio of dollars to toss is: 12:30 = 2:5.

Number of toss = x

Amount in dollars = y

Substitute k = 2/5 into y = kx to derive an equation to use to create a table of equivalent ratios:

y = 2/5x.

Therefore, wheny = 2:

2 = 2/5(x)

10 = 2x

x = 5 toss

When x = 45:

y = 2/5(45)

y = 18 dollars

The table of equivalent ratios is completed as:

Toss     Dollars  

5             2

30           12

45           18

(5, 2), (30, 12), and (45, 18), which are the points of the equivalent ratio table are plotted as shown in the diagram below.

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