The figure below shows the relationship between two supplementary angles.


Which of the following represents the value of x and a?

Answer:

C

Step-by-step explanation:

YEAH

Answer:

Option C

Step-by-step explanation:

Given expression is [tex]\frac{-5x^3+2x^2+9x+2}{(x^2+2)^2}[/tex]

Option A

[tex]\frac{A}{x^2+2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]

= [tex]\frac{A(x^2+2)}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]

= [tex]\frac{Ax^2+2A+Bx+C}{(x^2+2)^2}[/tex]

Numerator is a quadratic polynomial, while the expression has the numerator as a cubic .

Therefore, both the expressions are not equivalent.

Option B

[tex]\frac{A}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]

= [tex]\frac{A+Bx+C}{(x^2+2)^2}[/tex]

Here, numerator of the expression is a linear polynomial which is not equal to given expression.

Therefore, both the expressions are not equivalent.

Option C

[tex]\frac{Ax+B}{(x^2+2)}+ \frac{Cx+D}{(x^2+2)^2}[/tex]

= [tex]\frac{(Ax+B)(x^2+2)}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}[/tex]

= [tex]\frac{Ax^3+Bx^2+2Ax+2B+Cx+D}{(x^2+2)^2}[/tex]

= [tex]\frac{Ax^3+Bx^2+x(2A+C)+D}{(x^2+2)^2}[/tex]

Here, numerator is a cubic polynomial.

Therefore, both the expressions are equivalent.

Option D

[tex]\frac{Ax+B}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}[/tex]

= [tex]\frac{x(A+C)+(B+D)}{(x^2+2)^2}[/tex]

Numerator is a linear polynomial.

Therefore, sum is not equal to the given expression.

Option C will be the answer.

Answer:

[tex](x,y) = (5,15)[/tex]

Step-by-step explanation:

Given

[tex]Nickels = x[/tex]

[tex]Pennies = y[/tex]

Minimum of 20 coins means:

[tex]x + y \ge 20[/tex]

A nickel worth $0.05

A penny worth $0.01

So, the worth can be represented as:

[tex]0.05x + 0.01y \le 0.40[/tex]

See attachment for graph

From the attachment, the solution is:

[tex](x,y) = (5,15)[/tex]

Answer:

84 Percentage increase

Step-by-step explanation:

Detailed calculations & verification

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

40% = 40/100 = 40 ÷ 100 = 0.4.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by 40% of its value.

Percentage increase = 40% × 210

New value = 210 + Percentage increase

Calculate the New Value

New value =

210 + Percentage increase =

210 + (40% × 210) =

210 + 40% × 210 =

(1 + 40%) × 210 =

(100% + 40%) × 210 =

140% × 210 =

140 ÷ 100 × 210 =

140 × 210 ÷ 100 =

29,400 ÷ 100 =

294

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 210 =

294 - 210 =

84

Answer:

b height of trees

Step-by-step explanation:

Answer:

what is the ?

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

b = 90 degrees

a= 68.5 degrees

angle a = 1/2(137)

a = 68.5

Step-by-step explanation:

step 1. x intercepts are where y = 0

step 2. y = 0 when factors are equal to zero

step 3. the x intercepts are 0, sqr(3), -sqrt(3), -1/5

step 4. answer: 4.

Answer:

21

Step-by-step explanation:

Answer:

Its 21

Step-by-step explanation:

Answer:

28.740,

Step-by-step explanation:

Answer:

28.7 and plus dont use people for internet gaming sidechicks its just wrong go find someone that can actually be there for you

Step-by-step explanation:

Answer:

25 cups per hour that should be it

18

Answer:

83.25

Step-by-step explanation:

add all the numbers and divide by 8. 666/8 = 83.25

Answer:

83.25

Step-by-step explanation:

Mean = sum of all terms / number of terms

82+100+92+66+72+96+70+88 = 666

666 / 8 = 83.25

Answer:

180 tickets

Step-by-step explanation:

750 + 150 = 900 they will have to make

900/5 = 180 tickets

To raise at least $750, the seventh-grade class needs to sell a minimum of 180 tickets, priced at $5 each, to cover the fundraising goal and the $150 auditorium rental cost.

Given that,

Seventh-grade class is putting on a variety show to raise money.

The auditorium rental cost is $150.

Each ticket is priced at $5.

The goal is to raise at least $750.

Denote the number of tickets they need to sell as "x".

The revenue generated from ticket sales can be calculated by multiplying the number of tickets sold (x) by the ticket price ($5),

Which gives us 5x dollars.

Now since,

Total revenue from ticket sales - Auditorium rental cost ≥ Fundraising goal

Therefore,

5x - 150 ≥ 750

Add 150 to both sides:

5x ≥ 900

Divide both sides by 5 to solve for x:

x ≥ 180

Since the seventh-grade class cannot sell a fractional number of tickets,

Hence,

They need to sell at least 180 tickets to raise at least $750 and cover the auditorium rental cost.

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Answer:

The area of the triangle is 9 and the area of the regtangle is 54 so when you add them you will get 63 i hope it will help!

Answer:

Yes, this is a parallelogram

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]a + 0.5b - 4 a - b \\ - 3a - \frac{1}{2} b[/tex]

the answer for your question is...

tbh I have no clue i just want 5 points.

Answer: A salesperson at a jewelry store earns 5​% commission each week. Last​ week, Heidi sold $750 worth of jewelry. How much did she make in​ commission? How much did the jewelry store make from her ​sales?

Step-by-step explanation: sorry I want five points now

Answer:

Equations:

[tex]4H + 3P = 13.75[/tex]

[tex]2H + 5P = 11.25[/tex]

[tex]H = 2.50[/tex] --- Hot dog

[tex]P = 1.25[/tex] --- Pretzel

Step-by-step explanation:

Represent hot dogs with H and Pretzels with P.

For Tina:

[tex]4H + 3P = 13.75[/tex]

For Doug:

[tex]2H + 5P = 11.25[/tex]

Solving for the price of both items:

We have:

[tex]4H + 3P = 13.75[/tex] --- (1)

[tex]2H + 5P = 11.25[/tex] --- (2)

Multiply (2) by 2

2 * ([tex]2H + 5P = 11.25[/tex])

-------------------

[tex]4H + 10P = 22.50[/tex] --- (3)

Subtract (3) from (1)

[tex]4H + 3P = 13.75[/tex]

[tex]4H + 10P = 22.50[/tex]

----------------------

[tex]4H - 4H + 3P - 10P = 13.75 - 22.50[/tex]

[tex]3P - 10P = 13.75 - 22.50[/tex]

[tex]-7P = -8.75[/tex]

Solve for P

[tex]P = \frac{-8.75}{-7}[/tex]

[tex]P = 1.25[/tex]

Substitute 1.25 for P in (2)

[tex]2H + 5P = 11.25[/tex]

[tex]2H + 5 * 1.25 = 11.25[/tex]

[tex]2H + 6.25 = 11.25[/tex]

Collect Like Terms

[tex]2H = 11.25-6.25[/tex]

[tex]2H = 5[/tex]

Solve for H

[tex]H = \frac{5}{2}[/tex]

[tex]H = 2.50[/tex]

Answer:

there's no picture

Step-by-step explanation:

Answer:

What is 0.2 percent of 2? = 0.004.

Answer:

x = 10%

Step-by-step explanation:

Simple: 2 divided by 0.2 equals 10.

If you multiply 0.2 by 10 you get 2.

Lemme know if you need me to elaborate!

Answer:

h(5) = -22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

h(x) = -5x + 3

h(5) is x = 5

Step 2: Evaluate

Answer:

yes

Step-by-step explanation:

because if you multiply 6 and n it is 6n and 6 x 3 are 18 but subtract 4 and it is correct

Answer:

60 ounces

Step-by-step explanation:

18/3=6

6x10=60

Answer:

60 ounces

Step-by-step explanation:

First you need to find how many ounces are in one cheesecake. 18 ÷ 3 = 6. Then, you multiply 6 by 10, which is 60.

Answer:

Step-by-step explanation:

4,15

The point (4, 3) is on the graph of this exponential model.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the given information to form two equations with two unknowns (a and b) and solve for them.

From the first data point (2, 3 km):

y = a b^x

3 = a b^2

From the second data point (3, 9 km):

y = a b^x

9 = a b^3

Dividing the second equation by the first equation:

9/3 = (a b³) / (a b²)

3 = b

Substituting b = 3 into the first equation:

3 = a x 3²

a = 1/9

So the exponential model is y = (1/9) x 3^x.

To find another point on the graph of this exponential model, we can choose a value for x and calculate y.

Let's try x = 4:

y = (1/9) x 3^4

y = 1 x 3/3 x 3/3 x 3/3 x 3/9

y = 3

Therefore,

The point (4, 3) is on the graph of this exponential model.

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Answer:

Linear.

Step-by-step explanation: