The axis of symmetry for a quadratic equation can be found using the formula x equals StartFraction negative b Over 2 a EndFraction, where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. What is the equation when solved for a?

Answers

Answer 1

Answer:

[tex]a=-\frac{b}{2x}[/tex]

Step-by-step explanation:

The equation of a quadratic function is given as:

ax² + bx + c = 0

where a, b and c are the coefficient in the quadratic equation.

The axis of symmetry of the quadratic equation is given as:

[tex]x=-\frac{b}{2a}[/tex]

To get the equation for a, we have to make a the subject of formula:

[tex]x=-\frac{b}{2a}\\\\multiply\ both\ sides\ by \ 2a:\\\\x*2a=-\frac{b}{2a}*2a\\\\2ax=-b\\\\Divide\ through\ by\ 2a\\\\2ax/2a=-b/2a\\\\a=-\frac{b}{2x}[/tex]

Answer 2

The value of a when solved from x = -b/2a is;

a = -b/2x

We are given the formula for axis of symmetry of a quadratic equation to be;

x = -b/2a

Where;

a and b are coefficients in the quadratic equation

x represents the values along a vertical line on the coordinate plane.

Now, we want to solve for a which means we make it the subject of the equation;

Using multiplication property of equality, we multiply both sides by 2a to get;

2ax = -b

We now use division property of equality by dividing both sides by 2x to get;

a = -b/2x

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Related Questions

Two pipes A and B can fill an empty tank in 3hrs and 5hrs respectively. Pipe C can empty the full tank in 6 hours. If the three pipes A, B, and Care opened at the same time, find how long it will take for the tank to be full. *​

Answers

Answer:

30/11 (hours)

Step-by-step explanation:

Pipe A can fill the tank until it is full in 3 hours.

=> In 1 hour, pipe A can fill 1/3 of tank

Pipe B can fill the tank until it is full in 5 hours.

=> In 1 hour, pipe A can fill 1/5 of tank

Pipe C can empty the full tank in 6 hours.

=> In 1 hour, pipe A can empty 1/6 of tank

Assume that we open 3 pipes A, B, and C at the same time.

Then, in 1 hour, the amount of water in tank is:

A =  1/3 + 1/5 - 1/6 = 10/30 + 6/30 - 5/30 = 11/30 (tank)

=> The time to fill up the tank is:

T = 1/A = 1/(11/30) = 30/11 (hours)

Answer:

30/11

Step-by-step explanation:

Imagine the tank can hold x litre of water

So,A can fill x/3 litre water per hour

And B can fill x/5 litre water per hour

And C can reduce x/6 litre of water per hour which is filled by A and B.

So the gross calculation per hour is:

(x/3+x/5)-x/6

=11x/30

Now suppose it tooks 'a' hour to fill the tank.

So, a(11x/30)=x

⇨ a= (30/11x)x

⇨a=30/11

Help please Which is the equation of a trend line that passes through the points (3, 95) and (11, 12)? Round values to the nearest ten-thousandths. y = negative 10.375 x + 126.125 y = negative 0.096 x + 13.056 y = 0.096 x + 10.944 y = 10.375 x 63.875

Answers

Answer:

y = -10.375x + 126.125

Step-by-step explanation:

(12-95)/(11-3) = -83/8 = -10.375

y = mx + b

12 = -10.375(11) + b

12 = -114.125 + b

b = 126.125

y = -10.375x + 126.125

The solution is, y = -10.375x + 126.125,  is the equation of a trend line that passes through the points (3, 95) and (11, 12).

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

given that,

a trend line that passes through the points (3, 95) and (11, 12).

so, the slope is,

(12-95)/(11-3) = -83/8 = -10.375

now, we have,

y = mx + b

12 = -10.375(11) + b

12 = -114.125 + b

b = 126.125

so, we get,

y = -10.375x + 126.125

Hence, The solution is, y = -10.375x + 126.125,  is the equation of a trend line that passes through the points (3, 95) and (11, 12).

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What types of concurrent constructions are needed to find the orthocenter of a triangle? A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint B. intersection of the lines drawn to bisect each vertex of the triangle C. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex

Answers

Answer:

intersection of the lines drawn to bisect each vertex of the triangle

Step-by-step explanation:

trust

how many are 6 raised to 4 ???​

Answers

Answer:

[tex]\large \boxed{1296}[/tex]

Step-by-step explanation:

6 raised to 4 indicates that the base 6 has an exponent or power of 4.

[tex]6^4[/tex]

6 is multiplied by itself 4 times.

[tex]6 \times 6 \times 6 \times 6[/tex]

[tex]=1296[/tex]

Simplify: (-2)(-3)+(4)(-8)

Simplify: (3)(-6)-18​

Answers

Answer:

4

Step-by-step explanation:

Answer:

-26, and -36

Step-by-step explanation:

(-2) (-3) + (4) (-8)

        6 + -32 = -26

(3) (-6) - 18

       -18 + -18 = -36

If a population grows 3.5% per year, how much does it grow per decade? A. 35% B. 41.1% C. 38% D. 27.6%

Answers

Answer: 35%

Step-by-step explanation: It grows 3.5% every year. A decade is 10 years. 10 x 3.5% = 35% because you move the decimal one point to the right.

The population grows 41.1% per decade. Therefore, option B is the correct answer.

What is population growth and population decrease formula?

If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.

Given that, a population grows 3.5% per year.

Now, D(n)=P(1+R/100)ⁿ

Let P=1

So, D(1)=1(1+0.035)¹

D(1)=1.035

Similarly per 10 years with the same rate

D(10)=1(1+0.035)¹⁰

= (1.035)¹⁰

= 1.41059

= 1.411-1 (Initial population is 1)

= 0.411

= 0.411×100

= 41.1%

The population grows 41.1% per decade. Therefore, option B is the correct answer.

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Write each fraction as a decimal and a percent. A) 7/8 B) 9/75 C/ 120/75​

Answers

Answer:

A) 0.875, 87.5%

B) 0.12, 12%

C) 1.6, 160%

Step-by-step explanation:

Answer:

A) 0.875, 87.5%

B) 0.001, 0.1%

C) 1.6, 160%

Step-by-step explanation:

I honestly just used a calculator, but it could also be solved using the butterfly technique. For percentages just move the decimal to the left two places.

What is the value of x in the equation 3x-4y=65, when y =4 will give brainliest

Answers

Hello!

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given:

3x - 4y = 65 where y = 4;

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Hope this helped you! :)

Answer:

x=27

Step-by-step explanation:

3x-4y=65

Let y=4

3x - 4(4) = 54

3x -16 = 65

Add 16 to each side

3x -16+16 = 65+16

3x = 81

Divide each side by 3

3x/3 =81/3

x =27

What is the answer?

Answers

The answer would be c since the ten is being subtracting

15 lwholes 5 over 8 % of a number is 555 find the number

Answers

Answer:

The number is 3,552

15⅝% of 3,552 is 555

Step-by-step explanation:

15⅝% of a number is 555.

To determine what number it is, let the number be x.

Thus,

15⅝%*x = 555

[tex] \frac{125}{8}*\frac{1}{100}*x = 555 [/tex]

[tex] \frac{125}{800}*x = 555 [/tex]

[tex] \frac{125*x}{800} = 555 [/tex]

Multiply both sides by 800

[tex] \frac{125*x}{800}*800 = 555*800 [/tex]

[tex] 125*x = 444,000 [/tex]

Divide both sides by 125

[tex] \frac{125*x}{125} = \frac{444,000}{125} [/tex]

[tex] x = 3,552 [/tex]

The number = 3,552

15⅝% of 3,552 is 555

Ken has 86 feet of fencing , to make a vegetable garden . Which design below will give ken the largest garden ?

Answers

Answer:it’s the top right box

Step-by-step explanation: what I did was I added 24+24 and 19+19 which gives you 86ft

Answer:It is left side 21ft and top 22ft Step-by-step explanation:

(08.02)How many solutions are there for the system of equations shown on the graph? No solution One solution Two solutions Infinitely many solutions

Answers

Answer: Infinitely many solutions

Step-by-step explanation:

There are many solutions because the lines lies on top of each other.

i dont know the exact answer but its not  

One solution

Two solutions

so its most likely

Infinitely many solutions


[tex]2x {}^{2} + 10x - 72[/tex]
What is the factor ​

Answers

Answer:

2(x-4) (x+9)

Step-by-step explanation:

Hi how do I solve this simultaneous equation

Answers

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

if a white birch tree and a pin oak tree each now have a diameter of 111 foot, which of the following will be closest to the difference, in inches, of their diameters 101010 years from now? (1(1(, 1 foot = 12=12equals, 12 inches))

Answers

Answer:

Can you solve #18 from practice test 5 calculator section? ... years old and a pin oak tree with a diameter of 12 inches is ... because on the test you would have figured these mechanics out on ... Now, note that the concept of a “growth factor” as provided in the table ... That's a difference of about 1.3 inches.

Step-by-step explanation:

Find the missing factor D that makes the equality true -15y^4=(D)(3y^2)

Answers

Answer:

[tex]D=-5y^2[/tex]

Step-by-step explanation:

We have the equation:

[tex]\displaystyle -15y^4=D(3y^2)[/tex]

And we want to find D such that the equation is true.

So, we can divide both sides by 3y². This will yield:

[tex]\displaystyle D=\frac{-15y^4}{3y^2}[/tex]

We can split this into:

[tex]\displaystyle D=\frac{-15}{3}\cdot\frac{y^4}{y^2}[/tex]

Simplify. Hence:

[tex]D=-5y^2[/tex]

what is the area of a circle if the diameter is 16 millimeters? ​

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

A ≈ 201.06 mm²

▹ Step-by-Step Explanation

A = πr²

Radius = 1/2d

Radius = 1/2(16)

Radius = 8

Substitute:

A = π8²

A ≈ 201.06 mm²

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

The answer is 201 mm²

Step-by-step explanation:

Area of a circle is given by πr²

where r is the radius

To find the radius we use the formula

radius = diameter / 2

From the question

diameter = 16mm

radius = 16 / 2 = 8mm

So the area of the circle is

π(8)²

= 64π

= 201.061

= 201 mm² to the nearest whole number

Hope this helps you

what is the solution to the equation below log5(2x-3)=2

Answers

Answer:

14

Step-by-step explanation:

I just got it correct on a.p.e.x :)

The solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14

How to determine the solution?

The equation is given as:

[tex]\log_5(2x - 3) = 2[/tex]

Convert the equation to an exponential equation

2x - 3 = 5^2

Evaluate the exponent

2x - 3 = 25

Add 3 to both sides

2x = 28

Divide both sides by 2

x = 14

Hence, the solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14

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one-third of a number is subtracted from 11.The result is one and half times the original number. what is the number.​

Answers

If 11 is subtracted from 3 times the number, the result is the square of 5 less than the number. What are the set of numbers that satisfy

Arjun has two denominations of coins. Two of the smaller denomination coins and three of the larger denomination coins have a value of $2. Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4. What denominations of coins does Arjun have?

Answers

Answer:

Smaller coin = s = $0.25 = 25cent.

larger coin = l = $0.5 = 50 cent

Step-by-step explanation:

Given the following :

Let the two coins be s and l

Where s = smaller denomination and l = larger denomination coins

Two of the smaller denomination coins and three of the larger denomination coins have a value of $2

2s + 3l = 2 - - - - (1)

Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4

2s + 7l = 4 - - - (2)

2s + 3l = 2 - - - (1)

2s + 7l = 4 - - - (2)

Subtracting both equations

3l - 7l = 2 - 4

-4l = - 2

l = 2/4

l = 0.5

Put l = 0.5 into (1)

2s + 3l = 2

2s + 3(0.5) = 2

2s + 1.5 = 2

2s = 2 - 1.5

2s = 0.5

s = 0.5 / 2

s = 0.25

Smaller coin = s = $0.25 = 25cent.

larger coin = l = $0.5 = 50 cent

If cot^(4)x − cot^(2)x = 1, then the value of cos^(4)x + cos^(2)x is

Answers

Answer:

1

Step-by-step explanation:

[tex]cot^4x-cot^2x=1\\cot^4x=1+cot^2x\\cot^4x=cosec^2x\\ cos^4xsin^2x=sin^4x\\cos^4x=\frac{sin^4x}{sin^2x}\\cos^4x=sin^2x[/tex]------- (1)

Putting the value of [tex]cos^4x[/tex] in the equation:

[tex]cos^4x+cos^2x\\sin ^2x +cos^2x\\1[/tex]            (Using the identity [tex]cos^2x +sin^2x=1)[/tex]

If x-a is a factor of polynomial x3-mn2-2nax+na2 prove that a=m+n and a is not = 0

Answers

Step-by-step explanation:

hope this helps

pls mark me brainliest

Below are a list of costs and discounts for groceries. Round to the nearest dollar to estimate the total cost
+ $12.34
+ $5.07
- $0.73
+ $2.84
- $1.50

Answers

Answer:

$18

Step-by-step explanation:

$18.02 rounds to $18

Answer:

  $17

Step-by-step explanation:

Rounded, the listed numbers are ...

  12 + 5 -1 +3 -2 = 17

The estimate of total cost is $17.

Find the 6th term in this geometric sequence?

Answers

Answer:

91.125

Step-by-step explanation:

Each term is multiplied by 1.5 to get the next term.

12,18,27,40.5, 60.75, 91.125

Hope that helped!!! k

Answer:

91.125

Step-by-step explanation:

We know that this is a geometric sequence. By definition, this means that each subsequent term divided by the previous one is a common ratio r.

Here, divide 18 by 12 to get:

18/12 = 3/2 = 1.5

Divide 27 by 18 to check if it's also 1.5:

27/18 = 3/2 = 1.5

Indeed, the common ratio is 1.5. Now, we simply multiply 27 by 1.5 to get the 4th term:

27 * 1.5 = 40.5

Multiply 40.5 by 1.5 to get the 5th term:

40.5 * 1.5 = 60.75

Finally, multiply 60.75 by 1.5 to get the 6th term:

60.75 * 1.5 = 91.125

Our answer is thus 91.125.

~ an aesthetics lover

calling all brainly users

Answers

Answer:

The triangles are not similar

Step-by-step explanation:

We can see that TU and EU are equal in length but SU and DU are not hence they are not similar

SELF-CHECK 1: Evaluate the expression given. Write the numerical answer
as a fraction below. *
1 point
2 3
+
5.7
Your answer

Answers

Step-by-step explanation:

so 2.3 + 5.7 is 8.0 is the answer

At dinner, 100 students pass through the cafeteria line and were served meals. 40 fish entrees and 60 pasta entrees were served to the students. A total of 20 students chose neither entree. Assuming all students were served zero, one, or two entrees, how many students were served two entrees

Answers

Answer:  20

Step-by-step explanation:

Given: Total students at the dinner = 100

Number of fish entrees = 40

Number of pasta entrees = 60

Number of students chose neither entree = 20

Now , Number of students chose either fish or pasta = (Total students) - (Number of students chose neither entree)

= 100-20

= 80

Now , Number of students chose either fish or pasta = (Number of fish entrees) + (Number of pasta entrees)- (Number of students chose both)

⇒ Number of students chose both = (Number of fish entrees) +(Number of pasta entrees)-(Number of students chose either fish or pasta)

= 40+60-80

= 20

Hence, the number of students were served two entrees = 20

20 students were served two entrees.

Given,

total student pass through cafeteria line and were served meal is 100.

No. of students choose fish entries is 40.

No. of students choose pasta entrees is 60.

No. of student choose neither entree is 20.

We have to calculate the no. of students served two entrees.

Now Number of students chose either fish or pasta will be,

[tex]N=100-20[/tex]

[tex]N=80[/tex]

Now no. of students choose both will be,

[tex]N=(fish\ entree+\ pasta \ entree )-Entree\ either \ pasta \ or \ fish[/tex]

[tex]N=60+40-80[/tex]

[tex]N=20[/tex]

Hence 20 students were served two entrees.

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Ten people were chosen at random and surveyed. The survey asked participants for the number of hours they sleep per night and the amount of their annual income. Letting X represent the number of hours the participant sleeps per night and Y represent the participant's annual income, the surveyor calculated the correlation coefficient between X and Y to be 0.29. Interpret the correlation coefficient calculated by choosing the statement below which correctly describes the correlation between X and Y. A. weak negative correlation B. strong negative correlation C. strong positive correlation D. weak positive correlation

Answers

Answer:

A. R=0.86; strong correlation

Step-by-step explanation:

The correlation coefficient of 0.29 indicates that the correlation is a weak positive correlation. Thus option (D) is the correct answer.

What is correlation?

"Correlation is a statistical tool that studies the relationship between two variables. Data sets have a positive correlation when they increase together, and a negative correlation when one set increases as the other decreases".

For the given situation,

Correlation coefficient = 0.29

Positive correlation: the two variables change in the same direction.

Negative correlation: the two variables change in opposite directions.

No correlation: there is no association or relevant relationship between the two variables.

The correlation coefficient lies between 0 to 0.3 indicating that the correlation is a weak positive correlation.

Hence we can conclude that option (D) weak positive correlation is the correct answer.

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Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 . What is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes Round your answers to the nearest tenth. The speed is equivalent to , or

Answers

Answer:

[tex]Speed = 159.4\ km/hr[/tex]

[tex]Speed = 2.6\ km/m[/tex]

Step-by-step explanation:

The question has missing details; However, the given parameters are

[tex]Speed = 99\ miles/hour[/tex]

Required

Determine the speed in

- kilometre per hour

- kilometre per minute

From the question; we have that

[tex]1\ mile = 1.61\ kilometers[/tex]

[tex]1\ hour = 60\ minutes[/tex]

[tex]Speed = 99\ miles/hour[/tex] can be rewritten as

[tex]Speed = \frac{99\ miles}{hour}[/tex]

It can be further expressed as

[tex]Speed = \frac{99\ *\ 1\ mile}{hour}[/tex]

Recall that [tex]1\ mile = 1.61\ kilometers[/tex]'

So;

[tex]Speed = \frac{99\ *\ 1.61\ kilometre}{hour}[/tex]

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

[tex]Speed = 159.39\ kilometres/hour[/tex]

[tex]Speed = 159.4\ km/hr[/tex] -- Approximated

Solving further to get kilometre per minute equivalent

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

This can be rewritten as

[tex]Speed = \frac{159.39\ kilometres}{1\ hour}[/tex]

Recall that [tex]1\ hour = 60\ minutes[/tex]; So,

[tex]Speed = \frac{159.39\ kilometres}{60\ minutes}[/tex]

[tex]Speed = \frac{2.5565\ kilometres}{minute}[/tex]

[tex]Speed = 2.5565\ kilometres/minute[/tex]

[tex]Speed = 2.6\ km/m[/tex] --- Approximated

Answer:

Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.

-Step by Step-:

-The speed of the car is given as  99 mi/hour.

Now, WE know that 1 Mile = 1.61 KM

Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.

⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour

Also, 1 hour = 60 minutes

⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min

Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?

Answers

Answer:

4 and 34/63

Step-by-step explanation:

we know that he has to walk 8 and 2 thirds of an kilometer to school. so far he has ran 1 10/11 of a kilo.

To solve this you would have to divide 8 2/3 by 1 10/11.

you would have to make them into improper fractions so 26/3 divided by 21/11

your answer will be 4 34/63

Alan covers he distance by walking is   6+25/33 km.

what is distance?

distance is a scaler quantity which means it only have magnitude and no direction if any person or any thing moves from place A to B then it will show the distance between A and B

Given that Alan's school a distance is 8+2/3 km which is 26/3 km,

and he ran one and ten elevenths kilometers

means 1+10/11 = 21/11 km

and walks rest

let distance covered by walking be x

total distance for Alan school = distance covered by running + distance covered by walking

26/3 = 21/11 +x

x = 26/3 - 21/11

x = 223/33 = 6+25/33

Hence rest walking distance for Alan is 6+25/33

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Balance the chemical equations: 1) ___ N2O5 ___ N2 + ___ O2 2) _____Fe + _____O2 _____ Fe2O3 3) _____H2 + _____Cl2 _____HCl Finding Side Lengths in a Right TriangleWhat is the value of s?15 units5B15SD What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please! how do you find the length of the hypotenuse when you have only the length of the altitude of the hypotensuse and a length of a leg? 100 PTS Based on your reading of Jennifer Buchets "Grief Along the Reef," explain why reefs are in danger of becoming extinct. Provide evidence from the text to support your answer. PLEASE HELP ASAP! Describe The Rocky Mountains. I will mark brainliest. 2,17,82,257,626,1297 next one please ? 12/6 and 4/2 state if each pair of ratios forms a proportion. helppppppp Somebody please help me on this math problem Read lines 31-35 from "Unferth's Challenge."..."Ah! Unferth, my friend, your faceIs hot with ale, and your tongue has triedTo tell us about Brecca's doings. But the truthIs simple: No man swims in the seaAs I can, no strength is a match for mine.The figurative and literal meanings of these lines convey a tone ofbelittling and pride.Bsarcasm and hostility.judgment and insecurity.Dsympathy and confidence. g Once supply side effects are taken into account, tax cuts for labor income can change i. the supply of labor ii. potential GDP. iii. the growth rate of potential GDP. Solve. 100+[12{20(105)}] Simplify (-8)2. please help While driving on a highway, your HMMWV starts to pull to one side. You stop and check your tires one tire is going flat. There is no spare, but the affected tire has a runflat device installed, and you are only 5 miles from the motor pool. What is your maximum allowable speed when driving with one flat tire? Without this, many cycles such as the water cycle and photosynthesis would not exist. What could all these cycles not exist without? PLZ HELPPPPPP. 25 POINTS. A store sells books for $12 each. In the proportional relationship between x, the number of books purchased, and y, the cost per books in dollars" to "y, the total cost of the books in dollars, the constant of proportionality is 12. Which equation shows the relationship between x and y? A. y=12/x B. y=12x C. y=12+x D. y=12x Who would fight his friend? He'd have to be good-for-nothing, senseless, yes, to challenge his host and come to grips in games, in a far-off land at that." * Two brothers, Tom and Allen, each inherit $39000. Tom invests his inheritance in a savings account with an annual return of 2.9%, while Allen invests his inheritance in a CD paying 5.7% annually. How much more money than Tom does Allen have after 1 year? You have a jar containing 55 coins, consisting entirely of nickels and quarters, worth atotal of $7.15. How many quarters are in the jar? Evaluate 3a2 + 4b2 for a =2 and b = 3.O16848O36