A rectangle has sides measuring (2x + 7) units and (5x + 9) units.

Part A: What is the expression that represents the area of the rectangle? Show your work.

Part B: What are the degree and classification of the expression obtained in Part A?

Part C: How does Part A demonstrate the closure property for polynomials?

Answers

Answer 1

Answer:

Part A:

(2x+7)(5x+9)

(2x*5x)+(2x*9)+(7*5x)+(7*9)

10x^2+18x+35x+63

10x^2+53x+63

Part B:

The polynomial has two terms, so is a binomial; also, the polynomial only has one variable, x, and the largest exponent of that variable is 2; therefore is a degree 2 polynomial. In summary, we have a binomial of degree 2.

Part C: Part A demonstrates the closure property for polynomials because after multiplying the polynomials we obtained another polynomial.

Step-by-step explanation:


Related Questions

Write the equation of a line, in slope-intercept form, with a slope of -2 and a y-intercept of 8.
Oy= 2x + 8
Oy=-2x - 8
O y=-2x + 8
Oy= 2x - 8

Answers

Y=-2x+8

The value before the x is the slope and the value adding or subtracting from the x is the intercept

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?

Answers

Answer:

(x+7) to the 2nd power + 9

Step-by-step explanation:

a. 4.9
b. 3.7
c. 10.9

Answers

B because the equation

Please help me with this question

Answers

Answer:

Step-by-step explanation:

74+47=x(sum of two interior opposite angle is equal to the exterior angle formed)

121=x

What are the x intercepts and y intercept

Answers

the x intercepts would be the right and left number (-5.196,0) (5.196) usually most of times the x intercepts would have negative and positive same answers and they usually run vertically while they y intercepts is where the the x and y intercepts meet they usually meets in the y axis so that would be (0,5.4) that is my way of explaining it.

Electron groups could be considered which of the following?
A. Lone-pair electrons
B. Three or more unshared electrons
C. Any atom that's an ion
D. Bonded pairs of electrons

Answers

im pretty sure D bonded pair of electrons is the answer

please show step by step solution. I'll mark brainliest
p. s x= 110
y=120​

Answers

Step-by-step explanation:

Let's take the blank space between y° and 40° as n°. Then let's solve angle AFC, and remember x is given, 110°.

x°+ n°+ 50° = 180°

110°+50°+n°=180°

160°+n° =180°

n = 180° - 160°

n = 20°

Remember that angle y, angle 40° and angle n are on a straight line, which means they add up to 180°. So

y + n°+ 40°=180°

y +20° +40° = 180°

y+ 60° =180°

y = 180° - 60°

y = 120°

Hope u find this helpful

Agr 1 hour ke 50 rupees h to 9 hours ke kitne honge.​

Answers

Answer:

Step-by-step explanation:

1 hour=50 rupees

9 hour=50*9 rupees

=450 rupees

Answer:

you will have 450 rupees.
1 hour = 1*50
9 hours = 9*50 = 450
therefore you will have 450 rupees

Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

Answer:

The process of solving the inequality will be: -2(5 - 4x) < 6x - 4 8x - 10 < 6x - 4 -6 < -2x x > 3 This is in accordance to the rule of solving inequalities which states that whenever we multiply or divide by a negative number while solving an inequality, we must reverse the inequality sign.

Which of the following equations has both -6 and 6 as possible values of c?

Answers

A has both 6 and -6 as a answer

It’s A because it has both -6 and 6

Im struggling with this one please help, thank you!

Answers

Answer:

use mathaway, trust me it'll help

Answer:

transitive property of congruent angles

Step-by-step explanation:

if x=y and y=z, then x=z

what is the slope of (9,9) and (-11,13) ?

Answers

Answer: The answer is -0.2 or -1/5

-2.0 is the answer or -1/5

Please help ASAP y’all!!!

Answers

the correct answer is C)126

Answer:

126

Step-by-step explanation:

to find x one would need to 147 - 21 which results to 126

Write each equation in function notation, then solve the function for the given value.

(i.e. Find the Function and Solution)

y = 5x - 4 when x = 5

Answers

Answer:

y = 21

Step-by-step explanation:

x = 5

y = 5 (5) - 4

y = 25 - 4

y = 21

(5 , 21)

Hope this helps!

What would the advertised size of a TV be if its length and width are 20 inches by 21
inches?

Answers

Answer:

29 inches

Step-by-step explanation:

pythagoras theorem : 20^2 + 21^2 = \sqrt{841}

the radius of a circle is 9 inches. What is the area ? Give the exact answer in simplest form

Answers

A= πr^2
r=9
A= π(9)^2
A= 9x9=81
A=81π

In case that you have to use π
Multiply π(3.14)
3.14 times 81=254.34

4. The table shows a proportional relationship between x and y. For each value of sondy
Y
match it to the correct unit rote
in it's simplest form.
**3 and y27
** and y. 81
* 21 and y 128
x 14 and 84
* 12 and y = 36
* 15 and y 45

Answers

Answer:

21 and y128

Step-by-step explanation:

Answer:

i don't know the answer but i do have this book just look up answer key and the name of the book for any more answer X D

Step-by-step explanation:

big brain :)

Câu 19: Tổng của một số số nguyên dương (không nhất thiết khác nhau) bằng 11. Hỏi tích của chúng có thể đạt giá trị lớn nhất bằng bao nhiêu? A. 40 B. 48 C. 54 D. 96

Answers

Answer:

Lựa chọn A

Step-by-step explanation:

Được

Tổng của hai số nguyên dương = 11

Hai số có thể được chia thành hai phần là 6 và 5 hoặc (7 và 4), (8 và 3), v.v.

Vậy sản phẩm tối đa có thể thu được là 30

Vậy phương án A là giải pháp gần nhất

anyone help with this question

Answers

Answer:

3000 ft^2

Step-by-step explanation:

The top of the play ground

24 cm * 5ft/ 2cm = 60 ft

The side of the play ground

20 cm * 5ft /2cm = 50 ft

The area is

A = l * w = 60 ft * 50 ft = 3000 ft^2

Answer is 5, but i dont know how to solve it ​

Answers

Answer:Extract the formula for the height of a rectangular-based pyramid using your knowledge of algebra. H = V / (L x W) / 3. For instance, V = 60 cubic cm, L = 4 cm and W = 6 cm.

Step-by-step explanation:

CDEF is a parallelogram. Solve for x. ​

Answers

Answer:

x = 12

Step-by-step explanation:

24 = 3x - 12 (opposite sides of a parallelogram are equal)

24 + 12 = 3x

36 = 3x

36/3 = x

12 = x

Answer:

x=13

Step-by-step explanation:

The parallel sides on a parallelogram are equal, therefore you must find a number that would satisfy the requirement for equality in the sides' length

So lets get started by finding out what number would be 24 after 12 has been subtracted from it.

24+12=36

Now we need to find out how to get 36 from 3x

36/3=13

13.

x is 13.

Now lets check that our answer is right

13x3=36

so far so good.

36-12=24

That checks out.

24=24.

Make sure to rate this answer!

I really need help on this one

Answers

Answer:

2000 represents the original amount of butterfly's

3/4 represents the change in butterfly's

To find c) plug 3 in for t and solve.

Solve for x and round answer to the nearest tenth to place if needed.

Answers

x=12.3
Please see pic attached for the steps if you need :)

Answer:

I believe this is the answer

Step-by-step explanation:

Find the interquartile range of the data.

84,75,90,87,99,91,85,88,76,92,94

Answers

Answer:  IQR = 8

IQR is shorthand for interquartile range

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

Explanation:

The original list is {84,75,90,87,99,91,85,88,76,92,94}

It sorts to {75,76,84,85,87,88,90,91,92,94,99}

Pick out the middle most value, which is 88 in slot 6. A quick way to get here is to see that there are n = 11 values in this set. So n/2 = 11/2 = 5.5 which rounds to 6, and that tells us the slot number where the median is held. If n is an even number, then you'll need to use the midpoint formula for the two middle-most items.

After we determine the median is 88, we split the sorted data set as follows:

L = {75,76,84,85,87}

U = {90,91,92,94,99}

Everything in set L is below the median. L for lower.

Everything in set U is above the median. U for upper.

Sets L and U have 5 items each. Note that 5+1+5 = 11 = n.

-------------

The median of set L is 84, so Q1 = 84

The median of set U is 92, so Q3 = 92

Q1 and Q3 are the first and third quartiles respectively. Subtracting them gets us the IQR (interquartile range)

IQR = Q3 - Q1

IQR = 92 - 84

IQR = 8

The IQR helps give us a sense how spread out the data set is. It's similar to the range, which is found by range = max - min. The larger the (interquartile)range, the more spread out the data set will be.

Un capital de $10 000 se coloca a una tasa anual de interés compuesto del 6% durante 3 años. Determinar el interés generado Si la capitalización es una vez al año Si la capitalización es una vez al mes

Answers

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

What is 3logy−2logx−4logz written as a single logarithm?

Answers

Answer:

log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]

Step-by-step explanation:

3logy−2logx−4logz

log[tex]y^{3}[/tex]− log[tex]x^{2}[/tex]− log[tex]z^{4}[/tex]

log[tex]\frac{y^{3}}{x^{2} }[/tex] − log[tex]z^{4}[/tex]

log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]

Find the value of x
A.)9
B.)30
C.)21
D.)6

Answers

5x=3x+12

5x-3x=12

2x=12

x=6

the answer is 6.

trust me it’s 6

F(x)=x^2+5 and g(x)=-3x-8
Find g(1) and f(g(1)).

Answers

Answer: I believe that this is the answer

PLEASE DO THIS I WILL MARK U AS BRAINLIEST
PLEASE

Answers

Answer:

Since -15/16 does not equal -16/15, the statement is verified/true.

Step-by-step explanation:

Plug in the numbers for the variable:

-3/4 ÷ 4/5 =/ 4/5 ÷ -3/4

Copy dot flip:

-3/4 × 5/4 =/ 4/5 × -4/3

Multiply numerators and denominators separately:

-3 × 5 / 4 × 4 =/ 4 × -4 / 5 × 3

-15 / 16 =/ -16/15

-15/16 =/ -16/15

-15/16 does not equal -16/15.

answer please help please

Answers

Answer:

89*

Step-by-step explanation:

To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).

To find that angle (let's call it x), we have to use an equation.

Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.

x + 53 + 36 = 180

x + 89 = 180

x = 91

Now to find m<1, we need to use the supplementary angles theorem.

Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.

x + m<1 = 180

91 + m<1 = 180

m<1 = 89

Hence, m<1 is 89*!

Hope this helped! <3

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