ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

ASAP!! Please Help Me. I Will Not Accept Nonsense Answers, But Will Mark As BRAINLIEST If You Answer

Answers

Answer 1

Answer:

f(x) = 2(x –3)²

Step-by-step explanation:

f(x) = 2x² – 12x + 18

The vertex form of the above expression can be obtained as follow:

f(x) = 2x² – 12x + 18

Factorise

f(x) = 2(x² – 6x + 9)

Next, we shall simplify x² – 6x + 9 by factorisation method.

This is illustrated below:

x² – 6x + 9

Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².

Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.

The factors are –3x and –3x

Next, replace –6x with –3x and –3x in the equation above as shown below:

x² – 6x + 9

x² – 3x –3x + 9

Factorise

x(x – 3) –3(x –3)

(x –3)(x –3)

(x –3)²

f(x) = 2x² – 12x + 18

f(x) = 2(x² – 6x + 9)

f(x) = 2(x –3)²

Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is

f(x) = 2(x –3)²


Related Questions

A survey asks "would you like to see more or less government spending on natural disasters?" Of the 1496 respondents, 723 responded "more" or "much more". The population of interest consists of

A) the proportion of American adults who would respond "more" or "much more"

B) the 723 respondents who responded "more" or "much more"

C) the 1496 respondents

D) all American adults

E) the proportion of respondents who responded "more" or "much more"

Answers

Answer:

D) all American adults

Step-by-step explanation:

The 1496 respondents are the sample of the survey that was used to represent the population of interest, which is the total population from which the sample was drawn and the population from which the researchers want to find conclusions.

Looking at the alternatives, the only one that fits the description is alternative D) all American adults .

Find the total surface area.

Answers

The pyramid consists of 4 congruent triangular faces, and 1 square base.

Area of 1 triangular face:

1/2 * (5 in)/2 * (5.6 in) = 7 in^2

Area of base:

(5 in)^2 = 25 in^2

Then the total surface area is

4 * (7 in^2) + 25 in^2 = (28 + 25) in^2 = 53 in^2

What is the angle formed by the line y=2x−1 and x-axis?

Answers

Answer:

63.4°

Step-by-step explanation:

y = 2x - 1

dy/dx = 2

∴ The angle is arc tan(2) = tan^-1(2) = 63.4°

Please help urgently ❤️❤️❤️

Answers

Greetings from Brasil...

Here we have application of Trigonometry

COS β = adjacent side ÷ hypotenuse (H)

bringing to our problem....

COS A = AC ÷ H

But we dont have AC.... We have to use Pitagoras:

AB² = AC² + BC²

AC² = AB² - BC²

AC = √(AB² - BC²)

AC = √(10² - 8²)

AC = √(100 - 64)

AC = √36

AC = 6

So

COS A = AC ÷ H  ⇔ COS A = AC ÷ AB

COS A = 6/10

COS A = 3/5

Answer: B) 3/5

Step-by-step explanation:

Cos = adjacent/hypotenuse

Thus, the cos is AC/AB.

Because of Pythagorean Theorem, AC^2=AB^2-BC^2.  Let AC be x.

[tex]x^2=10^2-8^2\\x^2=100-64\\x^2=36\\x=6[/tex]

Thus, the cos is 6/10, or 3/5

What is the sine value of pi over 6? negative 1 over 2 1 over 2 negative square root 3 over 2 square root 3 over 2

Answers

Answer:

1/2

Step-by-step explanation:

[tex]sin(\frac{\pi }{6} )=\frac{1}{2}[/tex]

sin(pi) = 0

sin(7pi/6) = -1/2

sin(pi/6) = 1/2

sin 3pi/2 = -1

sin pi/2 = 1

sin pi/3 = √3/2

sin 4pi/3 = -√3/2

Answer:

1/2

Step-by-step explanation:

I got it right on the exam.

HELP ME ASAP WITH MATH MONEY & WAGES

Answers

Answer:

96,220

Step-by-step explanation:

187,400 x .3 (30%)= 56,220

56220+40000= *96,220

Answer:

96,220

Step-by-step explanation:

187,400 x 0.3 = 56,220

56220+40000= 96,220

hope this helps, have a great day :)

These box plots show daily low temperatures for a sample of days in two different towns.

Answers

Answer: Choice A.

The distribution for town A is positively skewed, but the distribution for town B is symmetric.

============================================================

Explanation:

The length of the whiskers tell us if we're dealing with a symmetric distribution, or a skewed distribution. For town A, the right whisker is longer than the left whisker. So this distribution is positively skewed. We can say it is skewed to the right, or right skewed.

Town B has whiskers of equal length. In addition, the two distances inside the box are equal to one another. We have a perfectly symmetric distribution. One half is a mirror copy of the other half.

Answer:

Hey there!

This is a box and whisker plot, and since the right whisker is longer, this is positively skewed. (For town A)

This is also a box and whisker plot, and since it is even on both sides, it is symmetric.

Hope this helps :)

Please help ive been trying and i just cant get it right

Answers

The correct answer is c. :)

Daniel is a very good television salesperson. His annual sales average at $187,400. His commission on sales is 30% and his annual base salary is $40,000. On average what is his annual gross income?

Answers

Answer: $96,220

Step-by-step explanation:

From the questionwe are we informed that Daniel is a very good television salesperson and that his annual sales average at $187,400 and his commission on sales is 30% while his annual base salary is $40,000.

His annual gross income will be his annual base salary plus commission annually. This will be:

= $40,000 + (30% × $187,400)

= $40,000 + (0.3 × $187,400)

= $40,000 + $56,220

= $96,220

ASAP! PLEASE help me with this question!

Answers

Answer:

The last graph is the correct answer

Step-by-step explanation:

Here, we are interested in picking the correct graph that best answers the question.

Before we pick any of the graphs as our answer, it will be appropriate to solve the inequality.

-4h + 42 <34

-4h < 34-42

-4h < -8

Now divide both side by -4; kindly note that when dividing an inequality by a negative number, the sign will change

h > -8/-4

h > 2

So which of the graph best showcases this?

The correct answer is the last graph

An umbrella is made up by stitching some triangular
pieces of clothes of too different colours, each
piece measuring
25 cm, 25cm and 14cm so that
1680 cm2 of clothes is required. If the cost of
each triangular piece of the cloth is Rs. 101, find
the total cost of cloth.​

Answers

Answer:

there are 10 triangles

5 triangles of blue colors

and 5 triangles of grey colors

area of each cloths = 5 × (area of 1 triangle)

Step-by-step explanation:

Area of triangle

Area of triangle = √s(s - a)(s - b)(s - c)Here, s is the semi-perimeterand a,b,c are the the side of the triangle

A total of 46 percent of the voters in a certain city classify themselves as Indepen-dents, whereas 30 percent classify themselves as Liberals and 24 percent say thatthey are Conservatives. In a recent local election, 35 percent of the Independents,62 percent of the Liberals, and 58 percent of the Conservatives voted. A voter ischosen at random. Given that this person voted in the local election what is theprobability that he or she is

Answers

Complete question :

A total of 46 percent of the voters in a certain city classify themselves as Indepen-dents, whereas 30 percent classify themselves as Liberals and 24 percent say thatthey are Conservatives. In a recent local election, 35 percent of the Independents,62 percent of the Liberals, and 58 percent of the Conservatives voted. A voter ischosen at random. Given that this person voted in the local election what is theprobability that he or she is Given that this person voted in the local election, what is the probability that he or she is (a) an Independent? (b) a Liberal? (c) a Conservative? (d) What fraction of voters participated in the local election?

Answer:

A) 0.331 ; B) 0.383 ; C) 0.286 ; D) 0.4862

Step-by-step explanation:

Given the following :

P(Independent(I)) = 46/100 = 0.46

P(Liberal(L)) = 30/ 100 = 0.3

P(Conservative(C)) = 24 / 100 = 0.24

Election participation (EP) :

P(EP | I) = 35 / 100 = 0.35

P(EP | L) = 62/100 = 0.62

P(EP | C) = 58/100 = 0.58

P(EP) = P(EP | L)*P(L) + P(EP | I)*P(I) + P(EP | C)*P(C)

P(EP) = (0.62*0.3) + (0.35*0.46) + (0.58*0.24)

P(EP) = 0.186 + 0.161 + 0.1392 = 0.4862

A) probability of Independent given that the person participated in election:

P(I Given EP) = [P(EP | I) * P(I)] / P(EP)

= (0.35 * 0.46) / 0.4862

= 0.161 / 0.4862

= 0.331

B) probability of Liberals given that the person participated in election:

P(L Given EP) = [P(EP | L) * P(L)] / P(EP)

= (0.62 * 0.3) / 0.4862

= 0.186 / 0.4862

= 0.383

C.) P(C Given EP) = [P(EP | C) * P(C)] / P(EP)

= (0.58 * 0.24) / 0.4862

= 0.1392 / 0.4862

= 0.286

what is the slope of y =2x-1​

Answers

Answer:

The slope m = 2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation:

y = 2x - 1 → m = 2, b = -1

Answer:

The slope of this equation is 2.

Step-by-step explanation:

In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.

So y=mx+b -> y=2x+b -> 2=m, b=-1

Two angles form a linear pair. The measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘ . Find the measure of each angle.

Answers

Answer:

70° and 110°

Step-by-step explanation:

If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

Ahmed wants to get a loan from his credit union for $20,000 to buy a new car. He can get an interest rate of 5% and can pay off the loan in 5 years. How much will Ahmed pay each month?, How much will Ahmed pay in interest?

Answers

Answer:

Step-by-step explanation:

The cost of the new car is $20,000.

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $20000

r = 0.05/12 = 0.0042

n = 12 × 5 = 60

Therefore,

P = 20000/[{(1+0.0042)^60]-1}/{0.0042(1+0.0042)^60}]

20000/[{(1.0042)^60]-1}/{0.0042(1.0042)^60}]

P = 20000/{1.286 -1}/[0.0042(1.286)]

P = 20000/(0.286/0.0054012)

P = 20000/52.95

P = $378

Ahmed will pay $378 each month

The total payment is

378 × 60 = $22680

The amount that Ahmed will pay in interest is

22680 - 20000 = $2680

Which of the following is a key property of the quadratic parent function?

Answers

Answer: B

Step-by-step explanation:

Quadratic parent function is y=x^2  which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.

Please answer this in two minutes

Answers

Answer:

u = [tex]\sqrt{6}[/tex].

Step-by-step explanation:

This is a 45-45-90 triangle.

That means that there are two side lengths with lengths of x, and a hypotenuse with a length of xsqrt(2). We can then set up a proportion.

[tex]\frac{1}{\sqrt{3} } =\frac{\sqrt{2} }{u}[/tex]

1 * u = [tex]\sqrt{3} * \sqrt{2}[/tex]

u = [tex]\sqrt{6}[/tex].

Hope this helps!

Currently 350bales of hay are stored in a barn. Each day, a farmer stacks 30 more bales of hay in the barn. Let H be the number of bales of hay in the barn after t days have passed. Which of the following best explains the relationship between t and H?

Answers

Answer:

Hey there!

We have H=30t+350.

350 is the original value, and for every day t, 30 more bales are added.

Hope this helps :)

Answer:

H = 350 + 30t

Step-by-step explanation:

350 bales plus 30 bales per day

350 + 30t

H = 350 + 30t

how do i find x?
is the formula
"the sum of exterior angles=360°" false for concaved polygons?​

Answers

Answer:

  To find x you need to divide polygon into trianglesThe formula : "the sum of exterior angles=360°" is false for concaved polygons

Step-by-step explanation:

α = 180° - 135° = 45°

β = 180° - 120° = 60°

γ = 180° - 60° = 120°

δ = 180° - x

ε = 180° - 80° = 100°

If we divide the pentagon into five triangles then:

5•180° = α + β + γ + δ + ε + 4x

900° = 45° + 60° + 120° + x + 100° + 4x

900° = 325° + 5x

5x = 575°

x = 115°

60° + 120° + 135° + 80° + 115° = 510° ≠ 360°

What is the solution to the linear equation?
2/3x - 1/2 = 1/3 + 5/6x
X = -5
X = -1/6
X = 1/6
X = 5

Answers

Hey there! :)

Answer:

x = -5.

Step-by-step explanation:

Solving for x from the equation:

[tex]\frac{2}{3}x - \frac{1}{2} = \frac{1}{3} +\frac{5}{6}x[/tex]

Begin by creating a common denominator for the terms involving x as well as the constants:

[tex]\frac{4}{6}x - \frac{3}{6} = \frac{2}{6} +\frac{5}{6}x[/tex]

Now that each term has a common denominator, we can begin solving for x by isolating the variable:

Subtract 5/6x from both sides:

[tex]\frac{4}{6}x-\frac{5}{6}x - \frac{3}{6} = \frac{2}{6}[/tex]

[tex]-\frac{1}{6}x - \frac{3}{6} = \frac{2}{6}[/tex]

Add 3/6 to both sides:

[tex]-\frac{1}{6}x = \frac{5}{6}[/tex]

Divide -1/6 from both sides. (Multiply by the reciprocal, or -6)

[tex]-\frac{1}{6}x(-6) = \frac{5}{6}(-6)[/tex]

x = -5.

can someone help....​

Answers

Answer:

-7 is no, -2 is no, 7 is no, and 10 is yes

Step-by-step explanation:

-5+9*(-7)>58

-5+-63>58

-68>58

-5+9*(-2)>58

-5+-18>58

-23>58

-5+9*(7)>58

-5+63>58

58>58

-5+9*(10)>58

-5+90>58

85>58

so the only one that is a solution is v=10, hope this helps

Answer: No, No, No, Yes

Step-by-step explanation:

Solve the equation for "v":

-5 + 9v > 58

      9v > 63

        v > 7

Check the options to see if they make a true statement:

-7 > 7    False

-2 > 7    False

7 > 7     False

10 > 7   TRUE!

What is the simplified form of -9x+3x

Answers

Answer:

-6x

Step-by-step explanation:

you can combine numbers with the same coefficient like any other number

Answer:

-6x

Step-by-step explanation:

It would be doing the same thing as -9 + 3, but without a variable.  

A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His teammate catches it 3.5s later, at a height above the ground of 5 ft. Which quadratic model

Answers

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

What percent of 300 is 67?

Answers

Answer:

22.33%

Step-by-step explanation:

First, divide 67 by 300. Next, take this result and multiply it by 100

67÷300=0.2233

0.2233×100=22.33

So the answer is 22.33%

please help :) What is 96,989,200 written in scientific notation? A. 96.9892 × 10 to the 5 power B. 9.69892 × 10 to the 7 power C. 9.69892 × 10 to the 6 power D. 9.69892 × 10 to the 8 power

Answers

Answer: B. 9.69892 × 10^7

You'd have to move the imaginary decimal at the end of the number 96,989,200 seven times in order to get only one number that isn't zero before the decimal point.

Please help ASAP! I’ll give brainliest:))

Answers

Answer with explanation:

After dilation about the origin(0,0) with the scale factor of 'k" , the image of the original point (x,y) becomes (kx,ky)

From the given graph, the coordinates of point C = (0,6)  [Since it lies on y-axis , the x-coordinate is zero]

After a dilation about the origin(0,0) with the scale factor of [tex]\dfrac{1}{2}[/tex], the new point will be [tex](\dfrac{1}{2}\times0,\dfrac{1}{2}\times6)=(0,3)[/tex]

Now plot this point on y-axis at y=3 as given in the attachment.

solve systems by substitution method x + y = 20 3x + 4y = 72

Answers

Answer:

x = 8; y = 12.

Step-by-step explanation:

x + y = 20

x = -y + 20

3x + 4y = 72

3(-y + 20) + 4y = 72

-3y + 60 + 4y = 72

y = 12

x + 12 = 20

x = 8

Check your work!

3(8) + 4(12) = 72

24 + 48 = 72

72 = 72

Hope this helps!

Answer:

X=-12 and Y= 32

Step-by-step explanation:

x+y=20 -> 1

3x+4y=72 -> 2

Form 1,

[x+y=20]×4

4x+4y=60 ->3

Form 2,

3x+4y=72

4y= 72 -3x ->4

Sub (4) into (3)

4x+72-3x= 60

x = -12

Sub X=-12 into (1)

-12+y=20

y= 32

Hope this helps.

Pls help I'm so dumb​

Answers

Answer:

C. p > -3

Step-by-step explanation:

We observe the characteristics of the shaded ray on the number line.

It goes to the right, so the inequality must be either greater than or greater than or equal to.

The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.

Now, without even looking at the numbers themselves, we can find our answer.

There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.

PLEASE HELP!!!

What is the interquartile range of this data set?
1,5, 27, 29, 34, 46, 48, 61, 64, 84, 96

Answers

Answer:

37

Step-by-step explanation:

Answer:

D. 37

Step-by-step explanation:

Your choice is correct!


I think its D but im not sure.​

Answers

Answer:

[tex]\sqrt[5]{2^3}[/tex]

Step-by-step explanation:

2 is the base

The top of the fraction is the power

The bottom of the fraction is the root

[tex]\sqrt[5]{2^3}[/tex]

Answer: A

Step-by-step explanation:

A fractional exponent can be written as a number with a radical to the power of the denominator raised to the power of the numerator.  It sounds difficult, but is really very easy.

[tex]x^{\frac{4}{13} } =\sqrt[13]{x^{4} } \\x^{\frac{7}{3} } =\sqrt[3]{x^{7} } \\[/tex]

Thus, the answer is A

Other Questions
can someone help me please Please answer the following questions If each of two competing monopolists undertakes equal advertising efforts to attract consumers away from the other, the total result is Group of answer choices which linear inequality is represented by the graph At a boating and sport store the cost of renting a personal watercraft is $64.20 per half hour, which includes a 7% sales tax. Determine the cost of a half hour rental before tax The grade point average collected from a random sample of 150 students. Assume that the population standard deviation is 0.78. Find the margin of error if cequals0.98. find dy/dx if x=at, y = at On December 31, it was estimated that goodwill of $51,500 was impaired. In addition, a patent with an estimated useful economic life of 12 years was acquired for $115,200 on April 1.a. Journalize the adjusting entry on December 31 for the impaired goodwill b. Journalize the adjusting entry on December 31 for the amortization of the paten Computing and analyzing acid-test and current ratios LO A1 Case X Case Y Case ZCash $ 2,000 $ 110 $ 1,000 Short-term investments 50 0 580 Current receivables 350 470 700 Inventory 2,600 2,420 4,230 Prepaid expenses 200 500 900 Total current assets $ 5,200 $ 3,500 $ 7,410 Current liabilities $ 2,000 $ 1,000 $ 3,800Compute the current ratio and acid-test ratio for each of the above separate cases.Current Ratio Choose Numerator: Choose Denominaa Current Ratio / = Current ratio Case X / = to 1 Case Y / = to 1 Case Z / = to 1 Acid-Test Ratio Choose Numerator: Choose Denominator: Choose cid-Test Ratio / = Acid-test ratio Case X / = to 1 Case Y / = to 1 Case Z / = to 1 Sample gas has a volume of 3.40 L at 10C what will be its volume at 100C pressure remaining constant What is the answer? What is A? There are 25 students in Mr. Jones art class. Mr. Jones is planning a project where each student needs 0.3 jar of paint. Exactly how much paint does Mr. Jones need for the art project? Two points on line p havecoordinates (2, 1) and (5, 3).The slope of the line is?A. 2B. 3/2C. 1D. 2/3E. 4 To most closely estimate the difference below, would you round the numbers to the nearest ten thousand, the nearest thousand, or the nearest hundred? Explain. 62,980 - 49,625 =? When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to create a perfect square trinomial? How did the League of United Latin American Citizens challenge segregationin public schools?A. By joining the National Council of La Raza to fight discriminationB. By working in the farm bracero program during World War IIC. By persuading the Census Bureau to classify Latinos as whiteO D. By filing lawsuits similar to Brown v. Board of Education What is the reason for step 5 in this proof Calculate the amount of leather needed to manufacture a basketball if it has a radius of 11.14 cm. I need ASAP please and thank uuu Suppose that you were born during World War II, write a persuasive letter to the Supreme Court in support or in opposition to releasing the Japanese people and closing the internment camps. A multistep reaction can only occur as fast as its slowest step. Therefore, it is the rate law of the slow step that determines the rate law for the overall reaction. Consider the following multistep reaction:A+B ----- AB(slow)A+AB-----A2B(fast....................................................2A+B ----- A2B(overall)Based on this mechanism, determine the rate law for the overall reaction.a) rate = kA2BABb) rate = kABc) rate = kAABd) rate = kA2B