1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cricket20 [7]
3 years ago
9

A rectangle has a height of 6k3 and a width of 2k2 + 4k +5.

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer: 12k^5+24k^4+30k^3

Step-by-step explanation:

Given : The height of the rectangle = 6k^3

The width of the rectangle = 2k^2+4k+5

Formula : Area = height x width

Therefore , the area of triangle in terms of polynomial will be :

6k^3\times( 2k^2+4k+5)\\\\= 6k^3(2k^2)+6k^3(4k)+6k^3(5)\ \ [\text{Using Distributive property}]\\\\=12k^{3+2}+24k^{3+1}+30k^3\ \ [\text{Using exponents rule}:\ a^n\times a^m=a^{n+m}]\\\\=12k^5+24k^4+30k^3

Hence, the area of the entire rectangle =12k^5+24k^4+30k^3

You might be interested in
a restaurant served 6352 meals during one month. what statement correctly compares the value of the digit 6 in the number of mea
san4es73 [151]
6000+300 or a comma in between?
5 0
3 years ago
Please look at the picture. I answered b but it was incorrect. <br> Please help.
LuckyWell [14K]

9514 1404 393

Answer:

  d.  14 -3x

Step-by-step explanation:

If you want to substitute for y in the second equation, you must use the first equation to find an expression for y.

  3x +y = 14 . . . . . . first equation

  y = 14 -3x . . . . . .  subtract 3x from both sides

This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.

  y = 14 -3x . . . . matches D

6 0
3 years ago
The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represent
Rzqust [24]

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

8 0
2 years ago
Factor each. <br><br> 5x to the 3rd ppwer + 25x to the 2nd power -4x -20 = 0
lesya692 [45]
If you are looking forward to adding them together you will get 145.  Just need to know if this questions had options?
4 0
3 years ago
A sample of 40 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their fav
elena-s [515]

Answer:

C. Graph C

Step-by-step explanation:

To easily find out which graph correctly displays the data from the list and table, note, the frequency of each color that in ascending order.

The color with the highest frequency would have the longest bar, followed by the 2nd highest, then the third, and so on. Thus, frequency should tally with the length of the bar.

From the table given, the top 3 are:

Pink polka dots => 12

Purple => 8

Ted and orange stripes => 7

Green => 6

Blue and gray => 4

Yellow => 3

The graph that has length of bars that corresponds to the frequency of the colors is graph C

3 0
3 years ago
Other questions:
  • Which of the following values could represent the probabilities of complementary events?
    12·2 answers
  • Use the points A(2,3) abd B (2,-3) to find length
    14·1 answer
  • Write each equation in standard form. Identify A,B,and C. 2x=4y-1
    13·2 answers
  • For f(x) = 9x and g(x) = x + 3, find the following functions.
    9·1 answer
  • I need a. Correct answer I will mark brainliest
    7·1 answer
  • I need help please?!!!!!!
    11·1 answer
  • A+b+c=88<br> b+c=84<br> a=2xb<br> Help!
    8·2 answers
  • ?<br> 5 in<br> Q 2 in R<br> PQ =
    9·1 answer
  • After a hike, a group of s students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expressi
    13·1 answer
  • Is –8 − –95 positive or negative?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!