Use what you know about addition and subtraction of polynomials to find the missing term represented
by the question mark in each equation.
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8
? =
(-b3 + 3b2 + 8) – (? - 562 - 9) = 5b3 + 8b2 + 17
? =
DONE
vous Activity

Answers

Answer 1

Answer:

1= 6x2

2= -6b3

Step-by-step explanation:

Answer 2

The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given first equation,

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8

-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8

-4x² + 14x + 8 + ? = 2x ²+ 14x + 8

? = 2x ²+ 14x + 8 + 4x² - 14x - 8

? = 6x²

In the second equation,

(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17

(-b³ + 3b² + 8) - (5b³ + 8b² + 17) =  (? - 562 - 9)

? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571

? = -6b³ - 5b² + 562

Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".

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Related Questions

A grocery store sells jelly beans in the bulk section for $2.75 a pound. If Wanda buys 1.8 pounds, how much will it cost?​

Answers

Answer:

$4.95

Step-by-step explanation:

If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.

State the domain and range and determine if its a function?

Answers

Domain is 3, 6, 12, 18. Range is 5, 7, 9, 10. Not a function because the domain 6 has two different outputs

What is 300 million divided by 1 thousand?

Answers

Answer:

the answer is three hundred thousand

300 million / 1 thousand is simply 300 thousand. hopefully this bud helpful!

How do you do both questions?

Answers

1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.

The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?

Answers

Answer:

149.5 pages excluding the back parts

150.8 pages including the back parts

Step-by-step explanation:

Total pages in Math 123 book = 230 pages

You aim to complete 65% of all the pages, how many should you finish

65 % of 230 pages

= 65 / 100 × 230 pages

= 0.65 × 230 pages

= 149.5 pages excluding the bark parts of the book

If you include the back parts, that is, the beginning and ending page

You have a total of 230 pages + 2 pages

= 232 pages

65 % of 232 pages

= 65 / 100 × 232 pages

= 0.65 × 232 pages

= 150.8 pages including the back parts

Help me ASAP plssssssssss

Answers

Answer:

Community Parks

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)

I need help and can u explain how to do it please and thank u

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]

π[tex]6^{2}=113.0973355[/tex]

✦ Round:

[tex]113.0973355=113.1[/tex]

So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

yes ion think u need my help

Step-by-step explanation:

x/3 - 15 = -7 solve for x

Answers

Answer:

[tex]x=24[/tex]

Step-by-step explanation:

[tex]\frac{x}{3}-15=-7[/tex]

Add 15 to both sides:

[tex]\frac{x}{3}-15+15=-7+15[/tex]

[tex]\frac{x}{3} =8[/tex]

Multiply both sides by 3:

[tex]\frac{3x}{3}=8\times3[/tex]

[tex]x=24[/tex]

I am genuinely so confused please help

Answers

Answer:

I hope it will help you :)

Find the slope of the line passing through the points (8, 3) and (9, 7)

Answers

Answer:

4

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

    = ( 7-3)/(9-8)

    = 4/1

   = 4

Given Points:

(8, 3) and (9, 7)

To Find:

The slope of the line passing through the points (8, 3) and (9, 7).

Slope Formula:

y2 - y1 / x2 - x1

Solution:

7 - 3 / 9 - 8

= 4 / 1

= 4

Answer:

4

ASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months after joining the club. 3 22 9 19 12 3 9 13 12 17 7 3 7 17 14 a. Compute the values of the three quartiles and the interquartile range. Q1 = Q2 = Q3 = IQR = b. Calculate the approximate value of the 82nd percentile. Enter an exact value: c. Find the percentile rank of 14. Round your answer to the nearest integer: %

Answers

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:


[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]

If k>0 and x=7 in the equation, what is the value of k?​

Answers

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\sqrt{2k^2+17}-x=0[/tex]

Where:

[tex]k>0\text{ and } x=7[/tex]

And we want to find k.

Firstly, let's substitute 7 for x. So:

[tex]\sqrt{2k^2+17}-7=0[/tex]

Now, we can solve for k. Add 7 to both sides:

[tex]\sqrt{2k^2+17}=7[/tex]

Square both sides:

[tex]2k^2+17=49[/tex]

Subtract 17 from both sides:

[tex]2k^2=32[/tex]

Divide both sides by 2:

[tex]k^2=16[/tex]

Take the square root of both sides:

[tex]k=\pm\sqrt{16}[/tex]

Evaluate:

[tex]k=\pm 4[/tex]

Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:

[tex]k=4[/tex]

So, the value of k is 4.

And we're done!

SD and SG are tangent to ⊙ K. Identify SG. HELP!!

Answers

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63

If Ben invests $3000 at 4% interest per year, how much additional money must he invest at 5.5 % annual interest to ensure that the interest he receives each year is 4.5 % of the total amount invested?

Answers

Answer:

$1500

Step-by-step explanation:

Investment 1 = $3000Interest 1 = 4%Investment 2 = xInterest 2 = 5.5%Total interest = 4.5%

Total interest:

3000*0.04 + x*0.055 = (3000+ x)*0.045    ⇒ multiply by 100 both sides3000*4 + 5.5x = 3000*4.5 + 4.5x                ⇒ parenthesis5.5x - 4.5x = 3000(4.5-4)                             ⇒ collect like termsx = 3000*0.5                                                ⇒ simplifyx = 1500                                                        ⇒ answer

Additional money is $1500



Approximtely how many 27cubic volume cabinets will a container98,000cbic volume hold?

Answers

Answer: 3630

Step-by-step explanation:

Given that:

Volume of container = 98,000 cubic volume

Volume of cabinet = 27 cubic volume

The number of cabinets which the container will. Hold equals:

Volume of container / volume of cabinet

= 98000 cubic volume / 27 cubic volume

= 3629.6296

The container will hold approximately 3630 27 cubic volume of cabinet.

PLEASE HELP PLEASE PLEASE

Answers

Answer:

The second one is d. 13

Step-by-step explanation:

Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.

10 [12 2+ (4 x 2)] ÷ 8 2

Answers

The answer is =
20x+60

Express the ratio BC/EF in simplest form

Answers

Answer:

bc/ef =48/32

divide by 16 you will get

3/2

Step-by-step explanation:

Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).

Answers

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

4 customers entered a store over the course of 6 minutes. At what rate were the

customers entering the store in customers per minute?

Answers

50 seconds per minute

The rate of entering customers per minute, if 4 customers entered a store over the course of 6 minutes, is 2 / 3.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

4 customers entered a store over the course of 6 minutes,

Calculate the rate of entering customers per minute as shown below,

The rate of entering customers per minute = total number of customer / total time

The rate of entering customers per minute = 4 / 6

The rate of entering customers per minute = 2 / 3

Thus, the rate of entering is 2 / 3.

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The length of a rectangle is 5 centimeters longer than twice its width. If the perimeter of the rectangle is 88 centimeters, what is the width?

Answers

Answer:

The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?

width=x

length=2x+5

perimeter=88=2L+2W

 

so half perimeter=44=L+W

x+2x+5=44

3x=39

x=13 cm width ANSWER

2x+5=31 cm length

The width of the rectangle is Width, W = 13 centimeters.

Let the length of the rectangle be L. Let the width of the rectangle be W.

Given the following data:

Perimeter of rectangle = 88 centimeters

Translating the word problem into an algebraic equation, we have;

[tex]L = 2W + 5[/tex]

To find the width of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P = 2(L + W)[/tex]

Substituting the values into the formula, we have;

[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]

Width, W = 13 centimeters.

Therefore, the width of the rectangle is Width, W = 13 centimeters.

Find more information: brainly.com/question/897975

What’s is ittttt I neeed helppp

Answers

Answer:

n = 14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

n = 14

Answer:

n=14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

Hope it helps :3

A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit

Answers

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

Urgent Fast!!!!!!!??????​

Answers

If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.

The area of a square = (side)^2

In this problem,

Area = 484

side = # of rows

Let's plug our values into the formula above

484 plants = (side)^2

Take the sqrt of both sides.

22 rows = side.

Answer:

This is the answer..........

PLEASE HELP!! BEST ANSWER WILL BE MARKED BRAINIEST! The stadium is at (-2,3) and the high schools (1,8). What is the shortest driving distance (in blocks) between these two locations? Can you figure this out without looking a the grid

Answers

Answer:

Shortest distance is 5 blocks.

Answer:

5.8

Step-by-step explanation:

I'm not 100% on this as the decimal in the answer makes me doubt myself. Here's the explanation anyways

How would you do this question?

Answers

Answer:

1) ∫ x² e^(x) dx

4) ∫ x cos(x) dx

Step-by-step explanation:

To solve this problem, eliminate the choices that can be solved by substitution.

In the second problem, we can say u = x², and du = 2x dx.

∫ x cos(x²) dx = ∫ ½ cos(u) du

In the third problem, we can say u = x², and du = 2x dx.

∫ x e^(x²) dx = ∫ ½ e^(u) du

2. Graph the inequality.
y<- 3x-2

Answers

Answer:

(2,-8)  (0,-2)

Step-by-step explanation:

y=mx+b
M= slope
B= y-intercept

-2 is the y-intercept (0,-2), plot those coordinates

-3x is the slope
- slope is -3/1
- top number depicts if you go up or down, (-) go down and (+) go up
- the bottom number you go to the right

So, from (0,-2) go down three and to the right one

Graph a dotted line since it is

I will give brainliest answer

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Right now, P is at (3,-4).  After the translation, it would be at

(-2,-1)

Crude oil Imports to one country from another for 2009-2013 could be approximated by the following model where t is time in years since the start of 2000,
(1) --33428001 - 1,000 thousand barrels per day (9 st s 13)
According to the model, approximately when were oil imports to the country greatest? HINT (See Example 1) (Round your answer to two decimal places.)
How many barrels per day were imported at that time? (Round your answer to two significant digits.)
thousand barrels

Answers

Answer:

Time = approximately mid 2012Oil import rate = 3600 barrels

Step-by-step explanation:

Unclear part of the questionI(t) = −35t² + 800t − 1,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?  t =  ? Solution

Given the quadratic function  

The vertex of a quadratic function is found by a formula: x = -b/2a

As per given function:

b = 800, a = -35

Then

t = - 800/2*(-35) = 11.43 which is within given range of 9 ≤ t ≤ 13

This time is approximately mid 2012.

Considering this in the function, to get oil import rate for the same time:

l(11.43) = -35*(11.43)² + 800*11.43 - 1000 = 3571.4285

Rounded to two significant figures, the greatest oil import rate was:

3600 barrels

2
If A=
4 3
find A1 using
elementary row operations.​

Answers

Answer:   [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

Step-by-step explanation:

                  [tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]

[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]

[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]

[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

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