A rectangle has sides measuring (3x + 2) units and (5x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive
full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

Answers

Answer 1

Answer:

A:

(4x+5)(3x+10)=

(12x^2) + (40x) + (15x) + (50)

12x^2 + 55x + 50

B: 2nd degree trinomial.

C:  it is demonstrated in part A because when we added it, the variable do not change and neither do the  exponents.  

Step-by-step explanation:

do not copy. used this on my test.


Related Questions

Can somebody help me with this. Do you add the 15 to the 2y or subtract it.

Answers

Answer:

4

Step-by-step explanation:

[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]

Hope this helps!

What is 3(x+2)+2(x+2) ?

Answers

Answer:

5x +10

Step-by-step explanation:

3(x+2)+2(x+2)

Distribute

3x+6 +2x+4

Combine like terms

5x +10

Answer:

5x+10

simplified if you want: x+2

Step-by-step explanation:

3x+6+2x+4

5x+10

A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag? A. 4/25 B. 6/19 C. 4/21 D. 6/25

Answers

Answer: 6/25

Step-by-step explanation:

There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25

I need help I have been sitting for an hour trying to figured this out:(

Answers

Answer. C. -4 < -8

Explanation:

The other choices are not true statements, while -4 is less than -8

Answer:

This is really weird. None of them seem to be right.

For the first one, it says that -7.5 is greater than or equal to -6.4, which is not true. -7.5 is less than -6.4. The next one is the only one that makes a true comparison, but I don't agree with the "or equal to" part. -7/8 cannot be equal to 7/8. The next one is false, -4 is greater than -8. Finally, the last one is incorrect as well because -4.2 is less than -3.6.

However, if I had to choose one, I'd choose the second option. It's the closest to being correct.

The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).

Answers

Answer:

The question is missing, so I will answer all the solution for each possible system of two equations.

Step-by-step explanation:

The equations

x + 5 y = 10 (red)

3 x - y = 1 (blue)

x - 5 y = 10 (green)

3 x + y = 1 (purple)

are shown in the picture atatched. The intersection between two lines is the solution of their system.

system:

x + 5 y = 10 (red)

3 x - y = 1 (blue)

solution: (0.938, 1.813)

system:

x + 5 y = 10 (red)

x - 5 y = 10 (green)

solution: (10, 0)

system:

x + 5 y = 10 (red)

3 x + y = 1 (purple)

solution: (-0.357, 2.071)

system:

3 x - y = 1 (blue)

x - 5 y = 10 (green)

solution: (-0.357, -2.071)

system:

3 x - y = 1 (blue)

3 x + y = 1 (purple)

solution: (0.333, 0)

system:

x - 5 y = 10 (green)

3 x + y = 1 (purple)

solution: (0.938, -1.813)

Answer:

A.

Step-by-step explanation:

I just took the quiz :]

HELLO THERE. PLS HELP WITH GEOMETRY

Answers

Answer:

x = 114°

y = 27

Step-by-step explanation:

To get x, we simply subtract 66° from 180°. Because of same-side interior angles, the angle below x is 66°.

To find y, we set the expression equal to 66° because they are the same angle. When we solve for y, we get 27.

Answer:

x= 114,

y= 27

Step-by-step explanation:

x= 180 - 66 = 114

6y - 96 = 66, 6y= 66+96, 6y= 162, y= 162/6, y= 27

Help will give brainliest

Answers

Answer:

70

Step-by-step explanation:

Answer:

70 fewer refrigerators  than television

Step-by-step explanation:

Divide using long division.
62 - 11y+
+15) = (y - 4)

Answers

I think this is how it’s solved btw if you have any steps given in your book plz attach it with the question so we could understand the method :) and btw I tried doing it steps by steps.

Find the sum of the first 16 terms in an arithmetic series where a1 = 2, and the common difference is d=2. Question 4 options: A) 272 B) 240 C) 360 D) 306

Answers

Answer:

A) 272

Step-by-step explanation:

[tex]S_{n}=\frac{n}{2}*[2a + (n-1)d]\\\\s_{16}=\frac{16}{2}[2*2+15*2]\\\\ =8*[4+30]\\\\=8*34\\=272[/tex]

Answer:

272

Step-by-step explanation:

A sporting goods store receives a shipment of 124 golf bags. The shipment includes two types of bags, full-size and collapsible. The full-size bags cost $38.50 each. The collapsible bags cost $22.50 each. The bill for the shipment was $3430. How much of each type of golf bag should be in the shipment? Show all work and verify your answer (prove that your answer is correct)

Answers

The sporting goods store receives the shipment of 124 golf bags in total.

Let us assume that the number of full-sized bags = X

Then the number of collapsible golf bags = 124 - X

Cost of each full sized bags = $38.50

Cost of each collapsible bags = $22.50

Total cost of the 124 bags received by the sporting goods store = $3430

Then

(38.50)X + (124 - X)22.50 = 3430

(38.50X - 22.50X) + 2790 = 3430

16X = 3430 - 2790

16X = 640

X = 640/16

  = 40

So the number of full-sized golf bags received = 40

Then the number of collapsible golf bags received = 124 - 40

                                                                                = 84

What are the resulting coordinates of triangle D′E′F′ after reflecting triangle DEF across the y-axis? answers : A) D′(1,– 4), E′(3, –1), F′(5, –2) B) D′(–1, 4), E′(–3, 1), F′(–5, 2) C) D′(–1, 4), E′(3, 1), F′(5, 2) D) D′(–1, –4), E′(–3, –1), F′(–5, –2)

Answers

Answer:

the answer would be B

Step-by-step explanation:

by flipping it to the other side u will have the same numbers but some might be negative hoped it was right

Answer:

its B

Step-by-step explanation:

a ferris wheel goes around once every 20 seconds . How many times will a rider be ag thetop during an 8-minuteride?

A.23
B.24
C.25
D.160

Answers

Answer:

The answer is B.

Step-by-step explanation:

There are three 20 second time periods in 1 minute. Three times eight is equal to 24.  

Help please and thank you

Answers

Answer:

73.72 ft Squared

Step-by-step explanation:

First you need to find the area of the rectangle the area of rectangle is 8x10=80. Then You take that 80=3.14x2. then you find the area by dividing it. so...

1.) 80=3.14x2

3.14x2=6.28       80=6.28              (Then you divide 6.28 by 80)

                             80    80                  

Classify the triangle by its angles. answers: A) Obtuse triangle B) Acute triangle C) Right triangle D) Equilateral triangle

Answers

Answer:

B) Acute triangle

Step-by-step explanation:

In acute triangles, all of the angles are less than 90°. This is true for this triangle :)

I hope this helps!!

Answer:

B) Acute triangle

Step-by-step explanation:

All the angles are less than 90 degrees so all the angles are acute

10 to the power of what is 0.1

Answers

Answer:

Brainleist!

Step-by-step explanation:

10^x = 0.1

x =log(0.1)

Decimal Form:  x=−1

Determine the value of the missing exterior angle. options: A) 104° B) 256° C) 72° D) 92°

Answers

answer: X would equal 104

Step-by-step explanation:

you would first find the interior angle for the other 2 exterior angles this would lead for  the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X

Missing exterior angle is 104°.

What is exterior angle?

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In the figure

Measure of exterior angles = 92°, 164°, x°

Sum of exterior angles of triangle is 360°

92° + 164° + x° = 360°

256° + x° = 360°

x° = 360° - 256°

x° = 104°

Hence, 104° is the measure of the missing exterior angle.

Learn more about exterior angle here:

https://brainly.com/question/28835566

#SPJ2

In the interval 0 degrees < x < 360 degrees, find the values of x for which cos x = 0.7252. Give your answers to the nearest degree.

Answers

Answer:

115° and 245°

Step-by-step explanation:

Given

cos x = - 0.4226

Since cos x < 0 then x is an angle in the second / third quadrants, thus

x =  (0.4226) = 65° ← related acute angle , thus

x = 180° - 65° = 115° ← angle in second quadrant

x = 180° + 65° = 245° ← angle in third quadrant

Answer:

[tex]x=\{44\º, 317\º\}[/tex]

Step-by-step explanation:

The interval given is [tex](0, 360\º) \text{ or } (0, 2\pi)[/tex]

In exercises of this kind I usually use

[tex]\cos \left(x\right)=a\quad \Rightarrow \quad \:x=\arccos \left(a\right)+360\º n, n \in \mathbb{Z}[/tex]

[tex]\quad \:x=\arccos \left( 0.7252\right)+360\º n, n \in \mathbb{Z}[/tex]

And [tex]\arccos \left( 0.7252\right) \approx 43.5^{\circ \:}[/tex]

But once we have the solution for cos in two different quadrants, I mean, Quadrant I and Quadrant IV angle.

To the nearest degree, we have

[tex]x=\{44\º, 317\º\}[/tex]

A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6, 7, 8, 10, 11, 14, and 15. Which histogram correctly shows the data set?

Answers

Answer:

Choice D

Step-by-step explanation:

After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.

Which of the following is not a property of a rhombus? Question 20 options: A) Diagonals are congruent. B) Opposite angles are congruent. C) All sides are congruent. D) Diagonals are perpendicular bisectors of each other.

Answers

Answer: A

Step-by-step explanation:

This is because  diagonals of a rhombus are perpendicular not congruent, ]

Pependicular means at an angle of 90°

If this helped please mark brainliest

What is the area of the shaded part of the circle that has a diameter of 8 mm? Use 3.14 for
4 mm
8 mm
O 16mm?
O 32mm?
O 34 24 mm
50.24 mm?

Answers

Answer: 34.27 sq. mm.

Step-by-step explanation:

Area of a triangle = hb / 2

= 8 x 4 / 2

= 32 / 2 = 16 mm

Area of the circle = πr^2

= π x 4^2

= 50 27 sq. mm.

Area of the shaded part

= 50.27 - 16

= 34.27 sq. mm

Answer: the answer is c, 34.24 mm

Step-by-step explanation: I just did the test

Stephen is making soup.
He mixes one packet of soup with water to make 6 litres of soup.
Stephen has to make 90 bowls of soup.
He wants to put 0.2 litres of soup into each bowl.
How many packets of soup does Stephen need?

Help this is due today ​

Answers

Answer:

90 / 6 = 15

You need 15 times more of the recipe

1 x 15 = 15 packets in total

15 - 0.2 = 14.8 packets needed

Hope this helps

Step-by-step explanation:

A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president. What is the binomial coefficient of this study? Write the answer as a number, like this: 42.

Answers

Answer:

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

P( X=6) = 0.070 or 7 percentage

Step-by-step explanation:

Step(i):-

Given data the researcher has obtained data that states that 45% of citizens are in favor of the president

probability of success  'p' = 45% or 0.45

                                       q = 1-0.45 = 0.55

Given random sample size 'n' = 8

Let 'X' be the random variable

let 'X' = 6

[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]

[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]

P( X=6) = 28 × 0.00830 ×0.3025

P( X=6) = 0.070

Conclusion:-

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

P( X=6) = 0.070 or 7 percentage

Answer:

28

Step-by-step explanation:

The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below. On a coordinate plane, 2 lines intersect around (2.8, negative 4.2). Which statement is true about the solution to the system of equations? The x-value is between 2 and 3, and the y-value is between –4 and –5. The x-value is between –4 and –5, and the y-value is between 2 and 3. The x-value is between –2 and –3, and the y-value is between 4 and 5. The x-value is between 4 and 5, and the y-value is between –2 and –3.

Answers

Answer:

The x-value is between 2 and 3, and the y-value is between -4 and -5

Step-by-step explanation:

The plot of the equations:

y = 1/4x - 5 (red)

y = -1/2x - 3 (blue)

is shown in the figure attached.

The solution to the system is found at the intersection point. In this case, the solution is x = 2.667 and y = -4.333

Answer:

it is A The x-value is between 2 and 3, and the y-value is between –4 and –5.

Step-by-step explanation:

plz help find the equation of the circle ​

Answers

Answer:

[tex](x-2)^2+(y+4)^2=34[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:

[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]

The equation of the circle is therefore:

[tex](x-2)^2+(y+4)^2=34[/tex]

Hope this helps!

Find the volume ! Thanks

Answers

Answer:

Volume of cuboid = length × width × height

length = 20cm

width = 8cm

height = 15cm

Volume = 20cm × 8cm × 15cm

= 2400cm³

Volume of the cuboid is 2400cm²

Hope this helps.

Answer:

2,400cm³

Step-by-step explanation:

FORMULA FOR VOLUME OF A CUBOID= L×B×H

WHERE L IS LENGTH = 20cm

B IS BREADTH = 15cm

H IS HEIGHT=8cm

:• VOLUME= 20cm ×15cm × 8cm

= 2,400cm³

What are the coordinates of the image of R for a dilation with center (0,0) and scale factor 3?

Answers

Answer:

(3, -3)

Step-by-step explanation:

If a point is dilated about the origin rule to be followed,

(x, y) → (kx, ky)

where k is a scale factor by which the point is being dilated.

If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]

Therefore, coordinates of the image R' will be (3, -3)

simplfy (x)^2(2xy^3)^5 plz help

Answers

Answer: 32x^7y^15

Step-by-step explanation:

(x)^2(2xy^3)^5

= x^2 * 32x^5y^15

= 32x^7y^15

A line passes through the points -6,4 and -2,2 which is the equation of the line

Answers

Answer:

y = -1/2x + 1

Step-by-step explanation:

Step 1: Find slope

m = (2-4)/(-2+6) = 1/2

Step 2: Find y-intercept

y = -1/2x + b

2 = -1/2(-2) + b

2 = 1 + b

b = 1

Step 3: Write it all together

y = -1/2x + 1

And we have our final answer!

There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 greens?

Answers

Answer:

The answer would be just about 61% or 9/14

Step-by-step explanation:

So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.

The probability of getting 2 greens is 5/31

Probability is the likelihood or chance that an event will occur. It is expressed as:

Probability = Expected outcome/Total outcome

Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:

Total outcome = 4 + 3 + 5 = 12balls

If green is picked at first, the probability of selecting a green is  5/12

If the second marble is picked and not replaced, the probabiity that it is green is 4/11 (4 greens remaining)

The probability of getting 2 greens = 5/12 × 4/11

The probability of getting 2 greens = 20/132

The probability of getting 2 greens = 5/31

Hence the probability of getting 2 greens is 5/31

Learn more here: https://brainly.com/question/13604758

solve the equation (x-2)^2/3=9

Answers

Answer:

x = 2±3sqrt(3)

Step-by-step explanation:

(x-2)^2/3=9

Multiply each side by 3

(x-2)^2/3 *3=9*3

(x-2)^2=27

Take the square root of each side

sqrt( (x-2)^2)=±sqrt(27)

x-2 = ±3sqrt(3)

Add 2 to each side

x = 2±3sqrt(3)

Other Questions
the presence of harmful substances in the earth's atmosphere is called earth pollution true or false Which statements about the controlling idea of a text are true? Select 4 options. It includes the topic of the text. It includes quotes from experts. It includes the authors viewpoint. It is usually stated in the texts introduction. It is the underlying message of the text. It is comparable to the theme (for a work of fiction). Solve for x. 9x-2c=k Show all work to identify the asymptotes and zero of the faction f(x) = 4x/x^2 - 16. The cost of unleaded gasoline in the Bay Area once followed a normal distribution with a mean of $4.74 and a standard deviation of $0.16. Sixteen gas stations from the Bay area are randomly chosen. We are interested in the average cost of gasoline for the 15 gas stations. What is the approximate probability that the average price for 15 gas stations is over $4.99? help Which two strategies will help you to carry out an effective group discussion? -If you disagree with what a person said, focus the discussion on your differences. -Make sure everyone gets an equal chance to speak in the group. -When you dont understand what a person has said, politely ask the person to clarify his or her point. -Make sure only those with strong discussion points get a chance to speak in the group. -Dont miss a chance to speak in the group, even if you have not organized your -thoughts. Dolan Company's accounting records reflect the following inventories:Dec.31, 2013 Dec.31, 2012Raw materials inventory $310,000 $260,000Work in process inventory 300,000 160,000Finished goods inventory 190,000 150,000During 2013, $600,000 of raw materials were purchased, direct labor costs amounted to $500,000, and manufacturing overhead incurred was $480,000.Dolan Company's total manufacturing costs incurred in 2013 amounted to________. I NEED HELP PLEASE, THANKS! :) A 20.0 cm tall object is placed 50.0 cm in front of a convex mirror with a radius of curvature of 34.0 cm. Where will the image be located, and how tall will it be? Please show all work. Xochi is a corporate PR consultant. She has many clients and would like to find a more efficient way to access and send information than by e-mail alone. What tool should Xochi use to search and manage this informatio Which of the following represents C 4 H 10 changing "yesterday was sunday" into present continuous Solve: x + 7 < 3 plsss help me Mario has missed a few workouts, after deciding to go out and have fun with his friends instead of following his physical fitness plan. What internal barriers does Mario seem to be suffering from? having low self esteem and/or body shame struggling to have self-discipline lacking the knowledge about how to exercising correctly having lack of safe spaces for exercise feeling like physical fitness is a hard choice to make When the following molecular equation is balanced using the smallest possible integer coefficients, the values of these coefficients are: sulfur dioxide (g) + water (l) __________sulfurous acid (H2SO3) (g) + water (I) third person uses I and you .-true -false The women has had two miscarriages. What is the chance that she could have a normal child? a. The chance of a normal child is approximately one in four; however, all of the normal children will be translocation carriers.b. The chance of a normal child is approximately one in two; however, all of the normal children will be translocation carriers.c. The chance of a normal child is approximately one in four; however, half of the normal children will be translocation carriers.d. The chance of a normal child is approximately one in two; however, half of the normal children will be translocation carriers How can computers be used to revise business messages? Work out the range of these numbers : -8, 6, -5, 2.5 thanks! 4. The main purpose ofis to inform or explain. 25 points !!! 3 1/3 x 52