Mathematics High School

suppose you can factor x^2 +bx +c as (x+p)(x+q) . If c<0, what could be the possible values of p and q?

A: p= -3, q= 7

B: p= 11, q= 4

C: p= -2, q= -5

D: p= 1, q= 10

Answers

Answer 1
What you should know is that the value of c will be given by the following product:
 c = p * q
 So that c <0
 We have that the possible values are:
 p = -3
 q = 7
 Thus, the value of c is:
 c = p * q
 c = (- 3) * (7)
 c = -21 <0
 Answer:
 the possible values of p and q could be
 A: p = -3, q = 7
Answer 2
Ans: Option A

Explanation:
Let's solve it smartly!

Given expression: [tex] x^{2} + bx +c[/tex] --- (A)
Factors: (x+p)(x+q)

Condition: c<0

Now let us expand (x+p)(x+q):
=> [tex] x^{2} + (p+q)x + pq[/tex] --- (B)

By comparing (B) with (A), we can say that:

pq = c --- (C)

Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.

1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.

2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.


We are left with Option A:
p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)). Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7

Related Questions

Can somebody please help me with these two problems?

1. What is the sum of the finite arithmetic series? 26 + 29 + 32 + 35 + 38 + 41 + 44
2. What is the sum of the finite arithmetic series? 7.6 + 6.3 + 5 + 3.7 + 2.4 + 1.1 + (–0.2) + (–1.5),

Answers

The formula for sum of AP is S = [2a + (n - 1)d]*n/2 where a is first term of series, n is number of terms and d is the difference 1. here a=26, n=7 and d= 29-26=3 so S = [2*26 + (7 - 1)*3]*7/2 S=245 2. here a=7.6, n=8 and d= 6.3-7.6=-1.3 so S = [2*7.6 + (8 - 1)*-1.3]*8/2 S=24.4

The sum of the finite arithmetic series 26 + 29 + ... + 44 is 245. The sum of the series 7.6 + 6.3 + ... + (-1.5) is 24.4.

To solve these problems, we will use the formula for the sum of a finite arithmetic series, which is given by S = n÷2  × (a₁ + aₙ), where S represents the sum of the series, n is the number of terms, a₁ is the first term, and aₙ is the last term.

Problem 1:

The series is: 26, 29, 32, 35, 38, 41, 44. First, we find the number of terms (n). Since the common difference (d) is 3, we have n = (44 - 26)÷3 + 1 = 7. Now, apply the formula to find the sum: S = 7÷2 × (26 + 44) = 245.

Problem 2:

The series is: 7.6, 6.3, 5, 3.7, 2.4, 1.1, -0.2, -1.5. Here, d = -1.3 and n = 8. So the sum is: S = 8÷2 × (7.6 - 1.5) = 24.4.

Solve 2 log 2x = 4. Round to the nearest thousandth if necessary

Answers

Answer:
x = 50

Explanation:
Before we begin, remember the following:
logₐ  (x) = b
is equivalent to:
aᵇ = x

log with no base written has the default base 10

Now, let's check the given:
2 log 2x = 4

We will start by dividing both sides by 2:
log 2x = 2

Now, applying the above rules, we can get the value of the x as follows:
log 2x = 2
10² = 2x

[tex] \frac{2x}{2} [/tex] = [tex] \frac{10^2}{2} [/tex]

x = 50

Hope this helps :)

Answer:

For [tex]2log2x=4[/tex] , x = 50

Step-by-step explanation:

Given : [tex]2log2x=4[/tex]

We have to find the value of x.

Consider the given [tex]2log2x=4[/tex]

Divide both side by 2, we have,

[tex]\frac{2\log _{10}\left(2x\right)}{2}=\frac{4}{2}[/tex]

Simplify, we have,

[tex]\log _{10}\left(2x\right)=2[/tex]

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

[tex]2=\log _{10}\left(10^2\right)=\log _{10}\left(100\right)[/tex]

[tex]\log _{10}\left(2x\right)=\log _{10}\left(100\right)[/tex]

When log have same base, we have,

[tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\quad \Rightarrow \quad f\left(x\right)=g\left(x\right)[/tex]

We have,

[tex]2x=100[/tex]

Divide both side by 2, we have,

[tex]x=50[/tex]

Thus, For [tex]2log2x=4[/tex] , x = 50

If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?

Answers

54.35(1.18) = 64.13 total bill

The required total bill would be $64.134 including of 18% tip.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

According to the question,

To leave an 18% tip for a waiter on a $54.35 meal,
Total bill = 54.35 + 18% of 54.35
              = 54.35 [1 + 0.18]
              = 54.35 (1.18) = 64.134

Thus, the required total bill would be $64.134.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ6

Plz help. ,,, ,,,,,,,,,,,,,,........





Answers

6. 3x - 3
7. -2b + 12
8. 2y-12

Hi there!

To simplify, we need to combine like terms.

6.
6x + 2 - 3x - 5
= 3x + 2 - 5
= 3x - 3

To simplify this, we need to distribute.

7.
-2 × b + 2 × 6
= -2b + 12

8.
4y - 12 + 2y
= 6y - 12

Hope this helps!

Find the value of 'm' if (-m,2) is a solution of equation 4x+9y-6=0

Answers

-4m +18-6=0
-4m+12=0
-4m=-12
m=3

Please help !! I fan and medal!!

1.)rewrite the following expression using the distributive property.
5(2x-8)
A.)-30x
B.)10x-40
C.)10x+40
D.)10x-8

2.)simplify the following expression:
-16-18/2+25/5+1. ( the -16 and -18 are both on top of the 2 it's a fraction)
A.)-18
B.)6
C.)10
D.)-6

Answers

1. B. 10x-40
2 i think you wrote it wrong but I'm going to guess to the best of my abilities
D. -6

What are the x-intercepts of the quadratic function? f(x)=x2+2x−24

Answers

The Answer is -6 and 4

Answer:

Just took the test the answers are -6 and 4 for anyone else wondering! :)

Step-by-step explanation:

PS. Use the site called "Desmos" and type your function in the box and just find where it crosses the x axis!

Find the image of P(–2, –1) after two reflections; first Ry=−5(P), and then Rx=1(P1).
(1, –5)
(–1, –6)
(4, –9)
(–2, –1)

Answers

Answer: third choice (4 - 9).

Explanation:

1) The first reflection, Ry = - 5, means a reflection is across the line y = - 5

2) Since the point P has y-coordinate  - 1, its discance to the line y = - 5 is 4 units (P is located 4 units upper the line y = - 5).

Then, the reflection of the y-coordinate will be 4 units below the line y = - 5, which is -5 - 4 = - 9,

Therefore, the y-coordinate of the image is - 9.

3) The second reflection, Rx = 1, means a reflection across the line x = 1.

4) Since the point P has x-coordinate - 2, its distance to the line x = 1 is 3 units (P is located 3 units to the left of the line x = 1).

Then, the reflection of P will be 3 units to the right of the line x = 1.

That is 1 + 3 = 4.

Therefore, the x-coordinate of the image is 4.

5) You have obtained the x and y - coordinates of the image, x = 4 and y = -9, that is (4, - 9) which is the third choice.

FAN AND MEDAL: NEED HELP PLEASE! Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.

x - 62,500 = 0.25y

If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values.,

Answers

x-62500=0.25y y has been given as 125000 So x-62500 =0.25*125000 x-62500 = 31250 Making x the subject of the equation: x=31250+62500 x=93750 Therefore Maya received 93750 votes.

Maya recived exactly 93750 votes



25 POINTS PLEASE HELPIf the fifth term of an arithmetic sequence is 11 and the common difference is​ 4, then the sixth term of the sequence is.

Answers

Final answer:

The sixth term of an arithmetic sequence, with a fifth term of 11 and a common difference of 4, is calculated to be 15.

Explanation:

The student's question is about determining the sixth term of an arithmetic sequence when the fifth term and the common difference are given. The fifth term is 11, and the common difference is 4. To find the sixth term, we follow the definition of an arithmetic sequence where each term is equal to the previous term plus the common difference.

Arithmetic sequence formula

:

Tn = T(n-1) + d

Where:

Tn is the nth termT(n-1) is the previous termd is the common difference

Applying this formula to find the sixth term:

Sixth term = Fifth term + Common difference

= 11 + 4

= 15

Therefore, the sixth term of the sequence is 15.

This figure shows circle C with diameter LM and inscribed ∠LMN .

m∠LMN=32°



What is the measure of arc LMN?

Enter your answer in the box.

Answers

the answer is 296 degress

Answer:

[tex]296^{\circ}[/tex]

Step-by-step explanation:

It is given that figure shows circle C with diameter LM and inscribed ∠LMN and    m∠LMN=32° .

We know that the angle formed at the center is double the angle formed on the vertex that is an inscribed angle, thus on joining NC, we have

[tex]{\angle}NCL=2({\angle}LMN)[/tex]

Substituting the given values, we have

[tex]{\angle}NCL=2(32^{\circ})[/tex]

[tex]{\angle}NCL=64^{\circ}[/tex]

Now, [tex]minor{\angle}LCN+major{\angle}LCN=360^{\circ}[/tex] (complete angle)

[tex]major{\angle}LCN=296^{\circ}[/tex]

Therefore, the measure of the arc LMN is [tex]296^{\circ}[/tex].

Preform the indicated operation. Then choose the best answer. 27.7 x 1.9

Answers

Your answer would be 526.3

Worker A earns $8.10 per widget produced, produces 10 widgets per day, and works 9 hours per day. Worker B earns $8.40 per widget produced, produces 8 widgets per day, and works 7 hours per day. Which of these statements is true?

A. Worker B earns more per day than worker A but less per hour than worker A.
B. Worker A earns more per day than worker B but less per hour than worker B.
C. Worker A earns more per day than worker B and more per hour than worker B.
D. Worker B earns more per day than worker A and more per hour than worker A.

Answers

Worker A:
Total earning per day = $8.10 x 10 = $81

He works 9 hours a day.  Find the rate for 1 hour.
81 ÷ 9 = 9
He earns $9 an hour

Worker B:
Total earning per day = $8.40 x 8 = $67.20

He worked 7 hours a day. Find the rate for 1 hour.
67.20 ÷ 7 = $9.60
He earns $9.60 per hour

Worker A earns more per day than worker B but less per hour than worker B. (Answer B)
Final answer:

By calculating the total earnings per day and earnings per hour for Worker A and Worker B, we deduce that Worker A earns more per day than Worker B but earns less per hour than Worker B.

Explanation:

To answer this question, we first need to calculate the total earnings per day and then the earnings per hour for both Worker A and Worker B.

For Worker A, the total earnings per day can be calculated as: 10 widgets/day * $8.10/widget = $81/day. For Worker B, the total earnings per day can be calculated as: 8 widgets/day * $8.40/widget = $67.20/day.

Therefore, we can see that Worker A earns more per day than Worker B.

Next, we calculate the earnings per hour. For Worker A, the earnings per hour amount to: $81/day ÷ 9 hours/day = $9/hour. For Worker B, the earnings per hour amount to: $67.20/day ÷ 7 hours/day = $9.60/hour.

Thus, Worker B earns more per hour than Worker A.

Given the calculations, the correct statement is B. Worker A earns more per day than Worker B but less per hour than Worker B.

Learn more about Salary Comparison here:

https://brainly.com/question/31588990

need help please!! thanks

Answers

7a-5b=28
The answer be D. (4,0)
Brainliest pts pls
To find the answer to #1 we need to use substitution to replace the variables with numbers

(-3,-2)
Substitute
(7)(-3) - (5)(-2) = 28
(7)(-3) - (5)(-2) Does not equal 28

(4,0)
Substitute
(7)(4) - (5)(0) = 28
This is true 
(4,0) is your answer
====================================================================
2.)
4x - 5y = 9
y = 4/5x - 9/5

Find the percent of discount. Round to nearest tenth.
Original price $24,365; selling price $16,820

Answers

Your answer is 31% I believe. 

If AB=6and AC=8, which statement will justify similarity by SAS?

Answers

1). is the correct answer.
the answer to this problem is choice 4 because
[tex]ab = 6 \: \: and \: \: ac = 8[/tex]
so we need to find the answer choice such that we can set up a proportion of sides that are equal
[tex] \frac{ab}{de} = \frac{ac}{df} [/tex]
plugging in choice we find choice 4 is correct because
[tex] \frac{15}{6} = \frac{20}{8} [/tex]
simplify and get
[tex]2.5 = 2.5[/tex]
this would mean the sides are similar of both triangles. now we can consider the angle were given and justify that both triangles are similar under choice 4




how many integer solutions are there to the equation x^3-5x^2+2x+13=5

Answers

three possible solutions
Hello,

To find the solutions to this, you can either graph it on a graphing calculator or factor it.

If you factor it, first set it equal to 0 by subtracting 5 from both this.
The you can factor it to: (x - 2)(x - 4)(x + 1) = 0
Using the zero product rule, our solutions are 2, 4, and -1.

There are 3 integer solutions.

Good luck,
MrEQ

How can you minimize the risk from your investments?

A.) By investing in a stock with the highest volatility.
B.) By investing in a stock with maximum returns.
C.) By investing in a variety of investment options.
Will fan and medal,

Answers

You can minimize the risk from your investments by investing in a variety of investment options. The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy. Your investment portfolio should contain different types of investments so that the risk would be spread to these investments.

By investing in a variety of investment options will minimize the risk from your investments.

What is Investment?

Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time

We need to find in which way we can  minimize the risk from your investments.

Before you begin to invest, think about what returns you’re realistically expecting and be clear on what your investment goals are.

The greater the potential returns, the higher the level of risk.  

The variety of your investments will reduce the overall risk from your investments by purchasing variety of investments in different sectors of the economy.

So one can minimize the risk from your investments by investing in a variety of investment options. Your investment should contain different types of investments so that the risk would be spread to these investments.

Hence, By investing in a variety of investment options will minimize the risk from your investments.

To learn more on Investment click:

https://brainly.com/question/15353704

#SPJ5

How do you get 90 dollars per 5 hours to 180 dollars to BLANK amount of hours with the numbers of 10,15,45,216,360 to choose from?????

Answers

90/5  = 180 / x

90x = 5 * 180 = 900

x = 10 Answer

The masses of four planets in a solar system outside the Milky Way are given below.

Mass of Planet A: 5.97 × 10^24 kg
Mass of Planet B: 3.30 × 10^23 kg
Mass of Planet C: 1.89 × 10^27 kg
Mass of Planet D: 4.87 × 10^24 kg

What is the order of these planets from least to greatest mass?
-Planet C, Planet B, Planet D, Planet A
-Planet C, Planet A, Planet D, Planet B
-Planet B, Planet D, Planet A, Planet C
-Planet A, Planet D, Planet B, Planet C

Answers

Your answer is Planet B, Planet D, Planet A, Planet C. 
Look at the exponents.
23 comes before 24 and 27. So 3.30 x 10 ^ 23 comes first. Next, 24, and there are 2, so  go by the decimals, 4.87 comes before 5.97. So 4.87 x 10^24 comes before 5.97 x 10^24. Then, that leaves 1.89 x 10^27.

The beginning balance in the computers account was $2000.the company purchased an additional $1000 worth of computers.the balance in the account is a ?

A. Credit of $2000
B. Debit of $2000
C. Credit of $3000
D. Debit of $3000

I need the answer ASAP!!!!!!!

Answers

D. Debit of $3000
The balance of account a need to be as much as $3000

What is the trigonometric ratio for sin C ?

Enter your answer, as a simplified fraction.

Answers

By definition we have to:
 Sin (x) = C.O / h
 Where,
 x = angle
 C.O = opposite leg
 h: hypotenuse.
 Substituting values we have:
 Sin (C) = AB / 82
 We should look for AB. For this, we use the following relationship:
 AB ^ 2 + 80 ^ 2 = 82 ^ 2
 Clearing AB:
 AB = root ((82 ^ 2) - (80 ^ 2))
 AB = 18
 Substituting we have:
 Sin (C) = 18/82
 Simplifying:
 Sin (C) = 9/41

 Answer:
 the trigonometric ratio for sin C is:
 Sin (C) = 9/41

A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. To study the impact of adding ingredient P, Q, R, S, or T to the recipe, they baked 270 loaves of bread. Some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. The freshness of the bread was checked one week later, and the results were used to create the two-way tables below.

Which tables suggest an association between adding an extra ingredient and the freshness of the bread? Check all that apply.

(Tables Below)

Answers

Answer:

Effect of ingrediant R on freshness

Effect of Ingredient S on freshness

Effect of ingrediant T on freshness

Step-by-step explanation:

X Effect of ingrediant P on freshness

X Effect of ingrediant Q on freshness

* Effect of ingrediant R on freshness

* Effect of Ingredient S on freshness

* Effect of ingrediant T on freshness

Answer on edge

What is the angle for a and b

Answers

angle A and B would be identical

a triangle is 180 degrees

180 - 40 = 140

140 /2 = 70

angle a and b are 70 degrees
It is an isosceles triangle, so
∠a = ∠b

180 - 40 = 140
140 ÷ 2 = 70° 

∠a = 70°
∠b = 70°

------------------------------------------------------------------
Answer: ∠A = 70° , ∠B = 70°
------------------------------------------------------------------

If the √4 is 2, what is 89²?

Answers

Your answer is 7,921.

Calculations: 

89x89 = 7,921
89x89=7,921 would be the answer

USING 56 POINTS PLEASE HELP! A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.

How many feet of molding will he need? Round to the nearest foot.

(Thank you!!) PLEASE ROUND THE NUMBER TO THE NEAREST FOOT.

Answers

HE WILL NEED 12 FEET WICH ROUNDED TO THE NEAREST FOOT IS 10 

Answer:

If this is right then yw :)

Step-by-step explanation:

Leslie says that 5 multiplied by an even number always results in an even product. Is Leslie's statement correct?

Answers

Yes, Leslie is correct. Two such examples are 5*100, which is 500 (even) and 5*18, which is 90 (also even).

Leslie's statement is correct. 5 multiplied by an even number always results in an even product

Number multiplication rules

From the question, we are to determine if Leslie's statement is correct.

From the given information,

Leslie says that 5 multiplied by an even number always results in an even product

An even number is a whole number that is able to be divided by two into two equal whole numbers

NOTE: The multiplication of any integer by an even number will always result in an even product.

An integer is a positive or negative whole number.

Since, 5 is an integer, then the multipliction of 5  by an even number will always results in an even product.

Hence, Leslie's statement is correct. 5 multiplied by an even number always results in an even product.

Learn more on Number multiplication rules here: https://brainly.com/question/14176303

What is the definition of asymptote?
What is the facts or characteristics of asymptote?
What is some examples of asymptote?
What is some non-examples of asymptote?

Answers

A straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line.
Final answer:

An asymptote is a line that approaches a curve indefinitely without intersecting it at any finite point. Examples include the line y = 0 for the function y = 1/x, whereas a non-example would be the intersecting line y = x with a parabola y = x^2.

Explanation:

An asymptote is a line that a curve approaches as it heads towards infinity, but never actually reaches.

There are several characteristics of an asymptote that are notable. First, the distance between the curve and the asymptote approaches zero as one moves along the curve towards infinity. However, the curve will never intersect the asymptote at any finite point. There are two main types of asymptotes: vertical and horizontal.

An example of an asymptote is the line y = 0, which is a horizontal asymptote for the function y = 1/x as x approaches infinity.

A common non-example of an asymptote is any line or curve that intersects a graph at a finite number of points, such as the line y = x when compared with a parabola y = x2.

1. Is -7 + 9= -9 + 7 true, false, or open

A. True
B. False
C. Open

2. Is 4x - 3 = 19 true, false, or open

A. True
B. False
C. Open

3. Which of the following is a solution to the equation 16 = 4x - 4

A. -5
B. -4
C. 5
D. 16

4. An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 in. What should the width of the model be?

A. 17.5 in
B. 20.5 in
C. 83.6 in
D. 100.8 in

5. Use mental math to determine the solution to x - 3 = 10

A. X=7
B. X=13
C. X=30
D. X=0

Answers

1. -7 + 9= -9 + 7 is false 
2. Is 4x - 3 = 19 is open, because this could be a valid equation.
 3. 16 = 4x - 4 
  So, 16+4=4x; 4x=20; x=20/4; x=5..... option C is the correct one.
 4. length of the classroom is 2.4 times its width. 
  given length = 42 in, and since length = 2.4 times width, width = 42/2.4,
hence option A) 17.5 in is correct
 5. x - 3 = 10
  x = 10+3 =13
 Option B is the right one.

The answer of the following mathematical expressions are,

1. True

2. False

3. C. 5

4. A. 17.5 in

5. B. x = 13

Let's go through each of the expression ,

Is -7 + 9 = -9 + 7 true, false, or open?

It is option A. True

Both sides of the equation simplify to 2, so the equation is true.

Is 4x - 3 = 19 true, false, or open?

It is option B. False

When you solve for x, you get 4x = 22, and then x = 5.5. Therefore, the equation is false.

Which of the following is a solution to the equation 16 = 4x - 4?

The value of x is option C. 5

When you solve for x, you get 4x = 20, and then x = 5. So, x = 5 is a solution to the equation.

An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student's model is 42 inches. What should the width of the model be?

The width is equal to option A. 17.5 inches

If the length is 2.4 times the width, then the width should be 42 inches / 2.4 = 17.5 inches.

Use mental math to determine the solution to x - 3 = 10.

the value of x is option B. x = 13

Adding 3 to both sides of the equation gives x = 10 + 3, which is x = 13.

learn more about expressions here

brainly.com/question/34132400

#SPJ3

PLEASE HELP!!ABCD∼EFGH

AD=30 in. , EH=50 in. , and CD=15 in.

What is GH ?

Answers

Hello there user!

You're answer is going to be -

GH= 25 inches

Explain)

A-D= 30 inches

Half of AD = 15 inches, therefore all you need to do is split the next set in half as well.

50 divided by two is 25, therefore you're answer is 25 inches.

Hope this helps you! Have a great rest of you're day!

~Alexa

Answer: GH =25 in.

Step-by-step explanation:

Given: [tex]ABCD\sim EFGH[/tex]

We know that if two polygons are similar then their corresponding sides are proportional.

Thus, [tex]\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}[/tex]

Since, AD=30 in. , EH=50 in. , and CD=15 in.

Then we have ,

[tex]\frac{CD}{GH}=\frac{AD}{EH}\\\\\Rightarrow\frac{15}{GH}=\frac{30}{50}\\\\\Rightarrow\ GH=\frac{50\times15}{30}\\\\\Rightarrow\ GH=25\ in.[/tex]

Other Questions
what is the solution to the equation(3/m+3)-(m/3-m)=(m^2+9/m^2-9) Which of the following functions has a maximum at x=3? SELECT ALL THAT APLLY.A. f(x)= (x-3)^2B. f(x)= (x-2)(4-x)C. f(x)= -x^2+6x-5D. f(x)= 1-(x-3)^2E. f(x)= (x+3)^2-9F. f(x)= x^2-4x+3 the number of waves passing a given point in one second is the help me please I dont know the answer.. Last questionDuring era 3, from 1000 B.C.E to 500 B.C.E most tools were made out ofA) IronB) BronzeC) Stone the equation of a circle is (x-5)^2+(y+3)^2=25 what are the coordinates of the center of this circle A business anticipates future operating revenue of $200 million, future operating costs of $150 million, and sunk costs of $60 million. should the business shud donw or remain in operation? explain. Which US politician worked to make Neoclassical architecture the template for the country's government buildings?a. George Washingtonb. Henry Jamesc. John Adamsd. Thomas Jefferson An isosceles trapezoid has a perimeter of 57 millimeters. Its shorter base measures 6 millimeters and its longer base measures 15 millimeters. The two remaining sides have the same length; what is that length? Matias and Hannah are responsible for the centerpieces on the buffet tables at the school dance.they have 6 dozen carnations,80 lilies,and 64 rosebuds. all the centerpieces must be identical.determine the greatest number of centerpieces Matias and Hannah can make if they use all the flowers.then describe the centerpiece What is emphasized by Alices and the Queens differing point of view? (Story-Through the looking glass) A)The Garden is a dangerous environment B)Alice must follow the Queens leadership C)Alice is overwhelmed by the scenery in the garden D)The garden is a place that follows a different type of logic During world war ii, the united states and japan engaged in battle in the pacific region. how did the war between both nations come to an end? Why is the cost of reproduction different for males and females? Which was not a motivation for European exploration in the fifteenth and sixteenth centuries? a. the desire to find a sea route to Asiab. the promise of richesc. intellectual curiousityd. the Muslim invasion of Spain The big break in the Watergate scandal came when Alexander Butterfield revealed that _____. A.) Spiro Agnew was really at the bottom of all the controversy B.)Nixon had kept a series of secret tapes of his meetingsC.) he was the informant giving details to the press D.) President Nixon actually knew nothing about the break-in During protein synthesis which part of RNA is joined together to form a sequence for a functional protein? Exons, introns, both exons neither exons or introns Which correctly lists the outer planets from the least number of moons to the greatest number of moons?a)Neptune, Uranus, Jupiter, Saturnb)Saturn, Jupiter, Uranus, Neptunec)Jupiter, Neptune, Uranus, Saturnd)Uranus, Neptune, Jupiter, Saturn Explain,in terms of particles,how heat is transferred through the glass wall of a boiling tube MATH HELP. ^^Answer the two pages below. What agreement has the goal of stopping the loss of biodiversity?the Kiev Resolutionthe Kyoto Protocolthe Montreal Planthe Soviet Doctrine