Part 1: Choose the equation represented by the model given below.

The solution is:

Part A) The polynomial has three terms

Part B) The terms are  

Part C) Is a 2nd degree polynomial

Part D) The name of the polynomial is a 2nd degree trinomial

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

we have

8x^2+ 3x-5

The polynomial has three terms

The terms are

8x^2,3x , -5

therefore

The polynomial is a trinomial

The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

The term is 8x^2

The highest exponent is the 2 so this is a 2nd degree polynomial

therefore

The name of the polynomial is a 2nd degree trinomial.

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complete question:

Given the polynomial, 8x^2 + 3x - 5, identify the following:

A) number of terms

B) list each term

C) degree of the polynomial

D) name of the polynomial

The exponential form of 6 × 6, is written as: 6².

Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.

Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:

6 × 6 = 6².

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Answer:

The y-coordinate of P is approximately 24.68. Round this answer to 2 decimal places, we have 24.68.

Step-by-step explanation:

Let's call the coordinates of point P (x,y).

According to the ratio, we can write the following equation:

(AP)/(PB) = 3/4, where AP is the distance from A to P and PB is the distance from P to B.

We can use the distance formula to find the coordinates of P:

AP = sqrt((x-5)^2 + (y+10)^2)

PB = sqrt((x-1)^2 + (y-8)^2)

We substitute these into the equation above:

(sqrt((x-5)^2 + (y+10)^2))/(sqrt((x-1)^2 + (y-8)^2)) = 3/4

Squaring both sides:

((x-5)^2 + (y+10)^2)/((x-1)^2 + (y-8)^2) = (3/4)^2

Expanding and simplifying:

3x^2 - 26x + 104 = 0

We can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac))/2a, where a = 3, b = -26, and c = 104

x = (26 ± sqrt(26^2 - 43104))/2*3

x = (26 ± sqrt(676))/6

x = (26 ± 26)/6

x = 26/6 or 0

Since x cannot be 0, we choose x = 26/6 = 4.33

Substituting x back into one of the original equations:

y = sqrt(3(4.33-5)^2 + (4.33+10)^2)

y = sqrt(3(4.33-5)^2 + 24.66^2)

y = sqrt(3(-0.67)^2 + 24.66^2)

y = sqrt(3*0.4489 + 606.1296)

y = sqrt(1.3467 + 606.1296)

y = sqrt(607.4763)

y = 24.68

So the y-coordinate of P is approximately 24.68. Round this answer to 2 decimal places, we have 24.68.

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Answer:

three

Step-by-step explanation:

The three countries expect to have an increase in population. Then the correct option is C.

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

The bar chart of the countries is shown.

From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Australia increased.

From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Hungary first increases then decreases.

And from the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Canada increased.

From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 in South Korea first increases then decreases.

From the bar chart, the population from 1950 to 2000 and from 2000 to 2050 of Egypt increased.

The three countries expect to have an increase in population.

Then the correct option is C.

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Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

140

Step-by-step explanation:

140 is the first multiple that all 3 numbers share.

Answer: f(x)=2^x+5

Step-by-step explanation:

math

Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

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Answer: A

Step-by-step explanation:

Answer:

The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.

Have a good day

Answer:

Step-by-step explanation:

a) gradient of AB

  or

  Slope of AB

  \(Slope , m = \frac{y_B - y_A}{x_B - x_A}\)

               \(=\frac{1 - 3 }{7 - 1 } \\\\=\frac{-2}{6}\\\\=-\frac{1}{3}\)

b)

when lines are perpendicular to each other, the product of their slope = - 1

That is ,

           \(m_{AB} \times m_{perpendicular} = - 1 \\\\- \frac{1}{3} \times m_{perpendicular} = - 1\\\\m_{perpendicular} = - 1 \times \frac{-3}{1} = 3\)

c) Equation of the line perpendicular to line AB and passing through ( 4 , 2 )

  \(( y - y_1) = m_{perpendicular} ( x - x_1) \ where \ (x_1 , y_ 1 ) = ( 4 , 2 ) \\\\( y - 2 ) = 3(x - 4 ) \\\\y = 3x - 12 + 2\\\\y = 3x - 10\)

Answer:

The midline is y=-1

Amplitude = 3

The period is 2 units

Step-by-step explanation:

Sinusoidal Function

It refers to a mathematical curve with a smooth and periodic oscillation. Its name comes from the sine function but it can be a cosine function too. They only differ by the phase angle of 90 degrees or π/2 radians.

The amplitude is half the distance from the maximum and the minimum points. The graph shows a sinusoid with a maximum value of y=2 and a minimum value of y=-4.

The amplitude is:

\(A=\frac{2+4}{2}=3\)

Amplitude = 3

The midline is the distance from the center of the sinusoid to the x-axis. It's also called the vertical shift.

The midline can be found by subtracting the amplitude A=3 to the maximum value M=2:

ML = 2 - 3 = -1

It can also be found by adding the amplitude to the minimum value:

ML = -4 + 3 = -1

The midline is y=-1

The period is the time the wave takes to complete a full cycle. We only have to focus at any point on the wave (xo,yo) and find the next value of x where the sinusoid has the very same behavior (x1,y1). The period is then x1-x0.

We find at x=0, y=-1 and it's moving up. At x=1 it has the same value but it goes down, so the wave is at its half cycle. At x=2 it repeats the same behavior as for x=0. Thus:

The period is 2 units

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.

The formula to calculate sale price of the item according to discount and original price will be -

Sale price = 25% × original price

Keep the value of original price in the formula to find the sale price

Sale price = 25% × 35

Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item

Sale price = 8.75

Hence, the item on sale costs $8.75.

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The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.

To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:

1(1!)+2(2!) +3(3!) +4(4!) +3(3!)

= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)

= 1 + 4 + 18 + 96 + 18

= 137

Therefore, the value of the summation when m = 3 is 137.

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Answer:

0-3=-3

Step-by-step explanation:

The polynomial is quadratic trinomial

The polynomial function is given as:

4x^2+ 8x +16

The highest power in the above polynomial is 2.

This represents quadratic

The number of terms in the above polynomial is 3

This represents trinomial

Hence, the polynomial is quadratic trinomial

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Answer.

The school but would have been driving at about 81 miles per hour.

Fun note.

The bus driver would have gotten a speeding ticket on almost all national highways in America if they were going at that speed.

Answer:

61

Step-by-step explanation:

2w + 43 = ?, w = 9

Answer:

134 sneakers and 66 sandals

Step-by-step explanation:

Sneakers= x, sandals= y

Profit rate:

Sneakers are more profitable, so it should be maximized.

Cost:

8x+14y≤2000

x+y≤200

if we assume the maximum of 200 shoes stocked, then:

x= 200-y

8(200-y)+14y ≤ 2000

1600 - 8y +14y ≤ 2000

6y≤400

y≤66 and x=134 is the best option

Step-by-step explanation:

A straight line graph is of the form:

y = mx+b

So we get our equation in this form:

9=2x+3y

or, 9-2x=3y

or, -2x+9 = 3y

or, y= (-2x+9)/3

or, y = -2/3x + 3

So,

Slope(m)=−2/3

y-intercept (b) = 3

Therefore, slope(m) is -2/3x and y-intercept(b) is 3.

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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Answer:

Company B

Step-by-step explanation:

the team will buy each toy for $5
company A sells 18 which will get $90 for buying it for almost $49
amount won will be $41
company B sells 15 wich will get $75 for buying it for almost $14
amount won will be $61
company C sells 12 which will get $60 for buying it for almost $32
amount won will be $28

by comparing the amount won for each company after selling
A $41
B $61
C $28
company B is worth it!

Answer: D

30 60 90 trinagle rules

a=8

b=a sqaure root of 3 or 8square root of 3

c=2a or 2*8 or c=16

Step-by-step explanation:

Step-by-step explanation:

sin30°=8/c

1/2=8/c

8×2=c

16=c

tan30°=8/b

\( \frac{1}{ \sqrt{3} } = \frac{8}{b} \\ 8 \sqrt{3} = b\)

option. d

Answer:

x= 2.25

Step-by-step explanation:

-3x +10= 5x -8

Bring all x terms to 1 side, constants to the other:

5x +3x= 10 +8

8x= 18

Divide both sides by 8:

x= 18 ÷8

x= 2.25

∴ The value of x is 2.25 to make the equation to be true.

Answer:

x = 13 or x = 1

Step-by-step explanation:

To solve the equation (x - 7)^2 = 36, we can take the square root of both sides:

(x - 7)^2 = 36

sqrt((x - 7)^2) = sqrt(36)

x - 7 = ±6

Solving for x, we get:

x - 7 = 6 or x - 7 = -6

x = 13 or x = 1

Therefore, the values of x that satisfy the equation are x = 13 and x = 1. The values x = -29 and x = 42 do not satisfy the equation.

Answer:

Let's assume the number be 100.

According to the problem , 100 is increased by 100%.

So, new number will be 100+100=200

Now 200 will decreased by 20%.

So, 20% of 200= 0.20*200= 40.

So, again the number has been changed into 200+40=240.

So, x=240

Step-by-step explanation:

9514 1404 393

Answer:

  x/1.6

Step-by-step explanation:

Let n represent the number. When n is increased by 100%, its new value is ...

  n(1 +100%) = n(1 +1) = 2n

When this value is decreased by 20%, its new value is ...

  (2n)(1 -20%) = (2n)(0.8) = 1.6n

This value is x, so the number is ...

  1.6n = x

  n = x/1.6 . . . . . . . divide both sides by 1.6