answer.
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
kondaur
10 days ago
8

What is the product of (3a + 2)(4a2 – 2a + 9)?

Mathematics
1 answer:
zzz [4K]10 days ago
7 0

Answer:

12a^3 + 2a^2 + 23a + 18    

Step-by-step explanation:

Utilize the " ^ " symbol to denote exponents:   4a^2 – 2a + 9.

Proceed with the multiplication as follows:

Initially, apply 3a to each term in 4a^2 – 2a + 9:  12a^3 - 6a^2 + 27a.

Then, multiply each term in 4a^2 – 2a + 9 by 2:  8a^ 2 - 4a + 18.

Now, consolidate the similar terms:

12a^3 - 6a^2 + 27a

            8a^ 2 - 4a + 18

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

12a^3 + 2a^2 + 23a + 18                

You might be interested in
Enter the expression N0e−λt, where N0 is N-naught (an N with a subscript zero) and λ is the lowercase Greek letter lambda.
tester [3895]
The problem requests that we express the formula in your inquiry where N0 symbolizes N-naught, and the letter represents the lowercase Greek letter lambda. Therefore, the optimal response or formulation would indicate that lambda denotes the wavelength for this expression. I trust this information meets your expectations. 
7 0
10 days ago
Read 2 more answers
For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount
PIT_PIT [3895]

Answer: The ratio needed will be 20:6:15.

Step-by-step explanation:

Given that

For every 1 liter of water used to create the medicine, 300 ml of sucrose and 750 ml of saline solution are required.

We should simplify the quantities of water, sucrose, and saline solution to their lowest terms.

All amounts should be converted to the same unit, which is ml.

As per the information provided,

1\ liter=1000\ milimeter\\

Thus, the ratio will be expressed as

\text{Amount of water: Sucrose: saline solution}\\\\=1000:300:750\\\\=200:60:150\\\\=40:12:30\\\\=20:6:15

Consequently, the required ratio is 20:6:15.

8 0
2 days ago
If m∠DEF = 117°, find the value of x
Svet_ta [4296]

Response:

x equals 7

Step-by-step breakdown:

Information:

∠DEF is 117°

∠DEG measures (12x + 1)°

∠GEF is (5x - 3)°

Objective:

determine the value of x

Calculation:

The equation is ∠DEF = ∠DEG + ∠GEF

117° = (12x + 1)° + (5x - 3)°

117° = 17x - 2

Thus, x = 7

4 0
9 days ago
On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
zzz [4002]
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years

An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years

I hope this is helpful:-)
7 0
3 days ago
Read 2 more answers
Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
Zina [3893]

The y-intercept is the location where any graph meets the y-axis.

Conversely, the x-intercept is where a graph intersects the x-axis.

This indicates that the coordinates at the intercept will always have the x-value as 0. Therefore, points of the format (0, y) represent y-intercepts, while points in the format (x, 0) indicate x-intercepts.

The provided points are:

(0,-6): y-intercept

(-2,0): x-intercept

(-6,0): x-intercept

(0,-2): y-intercept

3 0
7 days ago
Read 2 more answers
Other questions:
  • Two thirds a number plus 4 is 7
    6·2 answers
  • The house Trevor's family lives in has 6 66 people (including Trevor) and 3 33 bathrooms. In the past month, each person showere
    5·1 answer
  • Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
    5·2 answers
  • Raymond works in an electronics store and gets a 12 percent employee discount. The original cost of a video game system is $175.
    7·2 answers
  • Assemble the proof by dragging tiles to the statements and reasons columns.<br><br> PLEASE HELP
    9·2 answers
  • Kelly runs a distance of 100 metres in a time of 10.52 seconds.
    15·1 answer
  • A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that
    13·2 answers
  • While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr
    9·1 answer
  • The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to agi
    8·1 answer
  • A steel pipe 100 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If thee density of the steel is 7.8 g
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!