If a = 3n+4 and b = 7+9n^2, what is b in terms of a?
A) a^2 + 8a + 23
B) a^2 - 8a + 23
C) 9a^2 - 108a + 144
D) 9a^2 - 108a + 148

Answers

Answer 1

Answer: The answer is B

Step-by-step explanation:

a = 3n + 4

a - 4 = 3n

   a - 4         = n

      3

b = 7 + 9n^2 = 7 + 9  __(a - 4) ^2___ = 7 + 9   _(a - 4) ^2_____

                                         3^2                                 9

= 7 + (a - 4)^2 = 7 + a^2 - 8a + 16

= a^2 - 8a + 23

Answer 2
What are person said above me

Related Questions

Please answer quickly and correctly, and add the steps to solve the math equation!

Answers

Answer:

- 1/10 is the answer for A

420 is the answer for B

It took Matt twice the time to drive from home to work as it took him to drive back home from work by the same route.

Answers

Answer: D) 15

Step-by-step explanation:

Answer:  D) 15

Step-by-step explanation:

I got it right:)

Which angle is supplementary to ∠MPN?

five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees

∠NPL
∠LPM
∠IPK
∠KPL

Answers

The ∠LPM is supplementary to ∠MPN.

What is supplementary angles?

If two angles in geometry sum up to 180 degrees, they are considered to be supplementary angles. For instance, A and B are referred to as supplementary angles if ∠A + ∠B = 180°. When combined, supplementary angles always make a straight angle (180 degrees).

Given:  
Five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees

We have to find the angle which is supplementary to the ∠MPN.

Let, x be the angle supplementary to the ∠MPN.

So,

x + ∠MPN = 180

x = 124.4 = 180

x = 180 - 124.4

x = 55.6

Therefore, ∠LPM is supplementary to ∠MPN.

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Answer:

<LPM

Step-by-step explanation:

BYE!!!

Write three expressions that are equivalent to 70/-5.

Answers

-70/5, 140/-10, -140/10
140/-10 | 210/-15 | -70/5

Diego measured the diameter and circumference of several circular objects and recorded his measurements in the table.

One of his measurements is inaccurate. Which measurement is it? Explain how you know.

The measurement for the ____ is very inaccurate. It should be about ___ times the diameter (or a little more).

Answers

Answer:If the diameter of a circular object is 'd' units, circumference of the object will be represented by,

Circumference =

Now we will evaluate the circumferences of the different objects by the given measures of the diameters.

For Half dollar coins,

Step-by-step explanation:

   cm

For a flying disc,

   cm

For a jar lid,

   cm

For a flowerpot,

   cm

circumference of a circle is pi

WILL GIVE BRAINLIEST!! Which statement about the answer to this problem is most accurate 5/12 - 2/5 + 1/60 A: The answer 1/60 is reasonable because both fractions are closer to 1 then they are to 1/2, making the difference close to 0. B: The answer 1/60 is reasonable because both fractions are closer to 1/2 then they are to 0, making the difference close to 0. C: The answer 1/60 is not reasonable because 5/12 is closer to 1 then to 1/2, making the difference close to 1/2 D: The answer 1/60 is not reasonable because 5/12 is closer to 1/2 then to 1, and 1/5 is closer to 0 then 1/2, making the difference close to 1/2.

Answers

Answer:

B.

Step-by-step explanation:

1/60, is reasonable, and both fractions are closer to 1/2, than 1.

The answer is B because both of the fractions are closer to 1/2 then 0, as one of the sentences says

A recent conference had 650 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?

There were about 167 principals in attendance.
There were about 316 principals in attendance.
There were about 483 principals in attendance.
There were about 1,878 principals in attendance.

Answers

So first you divide 650 by 70 so that you know how many rooms there are. The answer is about 9. Then you multiply 9 by the number of principals, so that you know how many principals there are in total. 52x9= about 483. This means the answer is that there were about 483 principals.

There were about 483 principals in attendance.

The correct option is (3).

What is Arithmetic?

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.

As per the given data:

The total number of people in the recent conference = 650

The total number of people in one exhibit room = 70

Number of teachers in one exhibit room = 18

Number of principals in one exhibit room = 52

To find out the total number of exhibit rooms:

= Total number of people in the conference / total people in one room

= 650 / 70

= 9.28 = 9 {rounding off to the nearest integer}

Number of principals in one exhibit room = 52

Total number of principals in the conference:

= Number of rooms × Principals in one room

= 9 × 52 = 468 which is equal to 483 {approximate answer}

There were about 483 principals in attendance.

Hence, There were about 483 principals in attendance.

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Estimate 6.278 − 4.278 by rounding to the nearest whole number.

A: 2
B: 1
C: 6
D:8

Answers

The answer is A

6.278 - 4.278 = 2
6 answer

To round 6.278 to the nearest whole number consider the tenths value of 6.278, which is 2 and less than 5. Therefore we have to round down to the whole number ones place value of 6.278, 6, remains 6

If 4r + 3trs - 3u + 2 = 12s + r -1, then t =

Answers

Answer:

Step-by-step explanation:

c . just copy my work. i don't know the answer as well.

3trs= 12s+r-1-4r+3u-2

So t = (12s-3r-3+3u)/3rs

We can simplify to : t = (4s-r-1+u)/rs

The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What is the length and breadth of the pool?

Answers

Let:
P be the perimeter of the pool
L = length of the pool
B = breadth of the pool

Given
======

P = 2L + 2B = 154 m
L = 2 + 2B

P = 2(2 + 2B) + 2B ……. Substitute
154 = 4 + 4B + 2B ……. Distribution
154 = 4 + 6B ……… Add like terms
154 - 4 = 6B
150 = 6B

150/6 = 6B/6 …….. Divide both sides by 6

25 = B …. Breadth

L = 2 + 2B
L = 2 + 2(25) = 2 + 50
L = 52

Length = 52 and breadth = 25

Elena rode her bike 20 1/2 miles in 2 1/4 hours. What was her speed in miles per hour?

Answers

Answer: 9 1/9

Step-by-step explanation:

9 1/9 is the answer for the problem

PLEASE HELP AND ANSWER ALL QUESTIONS IF YOU CAN PLS AND TY.

Answers

Answer:

(-1,2.5) is on the line.

(11,10) is on the line.

(70,40 is not on the line.

(-2, 1.875) is on the line.

Step-by-step explanation:

First, find the equation of the line.  Two write an equation in the slope -intercept form of the line we need a slope and the y-intercept.  We can find this from the 2 points given (-5,0) and (3,5).  The ordered pair is written in the from (x,y)  The first number is how much we move right or left from the origin (0.0) and the second number tells us how much we move up or down from the origin (0,0).

To find the slope, we find the change in y over the change in x.

[tex]\frac{(5-0)}{3 - -5)}[/tex] = [tex]\frac{5}{3+ 5}[/tex] = [tex]\frac{5}{8}[/tex]  Now we can use either of the points to find the y-intercept.  Let's use (3,5)

slope = [tex]\frac{5}{8}[/tex]

x = 3

y =5

y=mx + b plug in what we know

5 = [tex]\frac{5}{8}[/tex](3) + b  This is the same as writing

5 = [tex]\frac{5}{8}[/tex][tex](\frac{3}{1})[/tex]      3 and [tex]\frac{3}{1}[/tex] mean the same thing

5 = [tex]\frac{15}{8}[/tex] + b  Now subtract [tex]\frac{15}{8}[/tex] from both sides of the equation

[tex]\frac{5}{1}[/tex] - [tex]\frac{15}{8}[/tex] = [tex]\frac{15}{8}[/tex] - [tex]\frac{15}{8}[/tex] + b

[tex]\frac{40}{8}[/tex] - [tex]\frac{15}{8}[/tex] = b

[tex]\frac{25}{8}[/tex] = b  Now we can write the equation

y = mx + b

y = [tex]\frac{5}{8}[/tex] x + [tex]\frac{25}{8}[/tex]

N ow that we have the equation, we can plug in the (x,y) and see if the equation is true or not.  If the equation is true, the point is on the line.

(-1,2.5)

y = [tex]\frac{5}{8}[/tex] x + [tex]\frac{25}{8}[/tex]

2.5 = [tex]\frac{5}{8}[/tex](-1) + [tex]\frac{25}{8}[/tex]

2.5 = [tex]\frac{-5}{8}[/tex] + [tex]\frac{25}{8}[/tex]

2.5 = [tex]\frac{20}{8}[/tex]

2.5 = 2.5

Yes, point (-1, 2.5) is on the line.

(11,10)

y = mx + b

10 = [tex]\frac{5}{8}[/tex](11) + [tex]\frac{25}{8}[/tex]

10 = [tex]\frac{55}{8}[/tex] + [tex]\frac{25}{8}[/tex]

10 = [tex]\frac{80}{8}[/tex]

10 = 10

Yes, point (11,10) is on the line.

(70,40)

y = mx + b

40 = [tex]\frac{5}{8}[/tex](70) + [tex]\frac{25}{8}[/tex]

40 = [tex]\frac{350}{8}[/tex] + [tex]\frac{25}{8}[/tex]

40 = [tex]\frac{375}{8}[/tex]

40 ≠ 46.875

Point  (70,40) is not one the line.

(-2, 1.875)

y = mx + b

1.875 = (-2)[tex]\frac{5}{8}[/tex] + [tex]\frac{25}{8}[/tex]

1.875 = [tex]\frac{-10}{8}[/tex] + [tex]\frac{25}{8}[/tex]

1.875 = [tex]\frac{15}{8}[/tex]

1.875 = 1.875

Point (-2, 1.875) is on the line.

(-1, 2.5) is yes, (11, 10) is yes, (70, 40) is no and (-2, 1.875) is yes.

Nathalia's credit in her student loan shows -$12,450.98 while Nicoll's credit shows -$12,956.05.

Which statement correctly compares the two amounts?


Nathalia's credit in her student loan shows -$12,450.98 while Nicoll's credit shows -$12,956.05.

Which statement correctly compares the two amounts?


A. -12,450.98 = -12,956.05
B.-12,450.98 < -12,956.05
C. |-12,450.98| > |-12,956.05|
D. |-12,450.98| < |-12,956.05|

Answers

Answer:

D. |-12,450.98| < |-12,956.05|

Step-by-step explanation:

|-12,450.98| < |-12,956.05| because 12,450.98 < 12,956.05

What the person said above me is right

What is -4/7 divided by 5?

Answers

Answer:

-4/35

Step-by-step explanation:

-4/35. use keep change flip with -4/7 / 5/1, KCF it to -4/7 x 1/5 then top times top bottom times bottom and get -4/35.

Samaj is making cupcakes for the school fair. One box of cake mix will make 20 cupcakes. Two boxes of cake mix will make 40 cupcakes. The constant of proportionality is k = 20. Which statement explains the meaning of the constant aof proportionality?

A) There are 20 cupcakes in one box of cake mix.
B) There is one cupcake in 20 boxes of cake mix.
C) There are 40 cupcakes in one box of cake mix.
D) Samaj does not have enough cake mixes to make the cupcakes needed.

Answers

Answer: A) There are 20 cupcakes in one box of cake mix.

Step-by-step explanation: The answer is A because the variable k is how many boxes of cake mix you use. So it is saying that for every box of cake mix you use you will get 20 cupcakes.

I need help please can someone help me out??

Answers

Answer:

the answer is C......................

The result of the simplified expression in this problem is given as follows:

D. 15.

How to simplify the expression?

The expression for this problem is defined as follows:

2³ + 6/3 - (-10/2)

The parenthesis takes precedence, hence:

2³ + 6/3 - (-5) = 2³ + 6/3 + 5

The power takes precedence, hence:

8 + 6/3 + 5

Division has higher precedence than addition, hence:

8 + 2 + 5.

Hence the result is given as follows:

8 + 2 + 5 = 15.

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How much 6.5% tax would be paid on a $175 bike?

Answers

$11.38 is the tax on the bike making the final total $186.38
$186.38 is the total

√9x^2 x √8x^2 please answer soon

Answers

there is no answer. what is x?
It’s kinda unclear. Bc what is times, and what is X???
12x^4 seems possible

Malia has $10 to spend at the fall carnival. She decides to order an ice cream cone for herself and one for her sister.

a. If the cost of each ice cream cone is $2.35, how much will she spend on the ice cream cones? Write an equation and solve.


b. How much change will Malia receive? Write an equation and solve.

Answers

Malia will receive 5.3 dollars back

Answer: She spent Four Dollars and seven cents and she gets five dollars and three cents back

Step-by-step explanation:   2.35+2.35=4.7      10-4.7=5.3

Declan is making a batch of cookies that contains eight cups of ingredients. Two cups of ingredients are sugar. What percent of the cookie ingredients are sugar?

If you can please add an explanation as well.

Answers

2/8 * 100/1

1/4 * 100

=25%

Answer:25%

Step-by-step explanation:

Some people advise that in freezing​ weather, you should keep the gas tank in your car more than half full. ​Irene's car had Irene 5.7 gallons in the ​13-gallon tank on the coldest day of the year. filled the tank with gas that cost ​$3.80 per gallon. How much did Irene spend on​ gas?

Answers

Some of the information here isn’t needed, like that fact that it’s freezing and that the tank holds 13 gallons. If gas costs $3.80 per gallon, then 5.7 gallons would cost $27.66

It’s 27.74. We take 13-5.7 which is 7.3. Then we multiply 7.3x3.80 which is 27.74.

Use digits and symbols to write ''The product of three and five is greater than the sum of three and five

Answers

Answer:

3*5>3+5

Step-by-step explanation:

product of three and five

3*5=15

sum of three and five

3+5=8

So,

3*5 > 3+5

3*5>3+5
Step-by-step explanation:
product of three and five
3*5=15
sum of three and five
3+5=8
So,
3*5 > 3+5

Can someone please rewrite this expression as a fraction and decimal? 10 to the power of -6

Answers

it is 1/000000
I would use a math app for the quick answers but here you go

Answer:

What is 10 to the power of 6 as a decimal?

Explanation: 10^-6 can be written as 1/10^6 which is 1/1000000.

Step-by-step explanation:

10-6 means we take 6 the power of 10

, then take the reciprocal of it. 6 the power of 10 is 1000000 , and reciprocal of it is 11000000

If we write it as a decimal number, the answer would be 0,000001

Consider the following expression.

Answers

Answer:

6 and 1 are like terms

9 is a coefficient

Step-by-step explanation:


What the other person said

what is 1,485 with a markup of 40%

Answers

The answer would be 25%

Explanation:

$10/$40 =0.25 now express it as an percentage. 25%

Answer:

Step-by-step explanation:

0.25

5x^2y^3 to the power of 2

Answers

Answer:

25x^4 y^6

Step-by-step explanation:

(5x^2 y^3)^2

Use the rules of exponents to simplify the expression.

(5x^2 y^3)^2

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

5^2 (x^2 )^2 (y^3)^2

Raise 5 to the power 2.

2^5(x^2)2(y^3)^2

To raise a power to another power, multiply the exponents.

25x^2×2 y^3×2

Multiply 2 times 2.

25x^4 y^3×2

Multiply 3 times 2.

25x^4 y^6

25x^4y^6

(5x^2 y^3)^2

(2005*40)/5
(ice melody)

Answers

Answer:

Well:

2005 times 40 = 80200

And:

80200/5 = 16040

So:

Answer is 16040!

Step-by-step explanation:

Hope it helps! =D

2,005x40=80,200

80,200/5= 16,040

Pls help with question 10. Pls show ur working. Thanks

Answers

Answer: Height of shed is 2.325m tall
explanation: Check the image i sent
what knwon2 said
hope you pass





Your fresh salsa recipe has been selected as a finalist at the county fair. All finalists will automatically participate in two rounds of competition that occur on the same day. For the first round, you need to make enough salsa for 6 servings for the judges who are professional chefs. In the second round, you will be presenting to a larger panel from the general public and need to have 40 servings. Your recipe makes 4 servings.Salsa Recipe•4 c chopped tomatoes•3 c chopped sweet onions•2 c chopped green peppers•1··2 c chopped hot peppers•1 tbsp fresh garlic•11··2 tbsp lime juice•1··4 c chopped cilantro•1 tsp saltA recipe always has a proportional relationship between the number of servings and each ingredient of the recipe. Find the amount of each ingredient you will need to make all of the servings needed for the competition. Show your work on the Recording Sheet.

Answers

Answer:

Step-by-step explanation:

46 SERVINGS

46/4=11.5

ROUND IT UP TO 12

multiply akll your ingredients by 12

48 chopped tomatos

36 chopped sweet onions

24 chopped green peppers and soo onthat will be your answer

In linear equation ,  48 chopped tomatos , 36 chopped sweet onions

24 chopped green the amount of each ingredient you will need to make all of the servings needed for the competition.

What is a linear equation example?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, calculating both intercepts is rather simple (x and y).

46 Servings

46/4=11.5

Round up to  12

multiply akll your ingredients by 12

48 chopped tomatos

36 chopped sweet onions

24 chopped green peppers and soo onthat will be your answer

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Hong will run at most 23 miles this week. So far, he has run 15 miles. What are the possible numbers of additional miles he will run? Use t for the number of additional miles he will run.

Answers

23 >= 15 + t
23 - 15 >= t
8 >= t or t <= 8
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