Use the vertical method to multiply (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). What would be the value of D?
Answers
Answer: C 3a^4
Step-by-step explanation:
I just took the test
The multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
What is vertical method to multiply?The vertical method to multiply is one of the simple method to perform multiplication operation.
In this method, the two terms which need to be multiply is kept one below the other and each element of first is multiplied with the other term.
The equations given in the problem are, (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). Arrange them and write in vertical manner to multiply.
[tex]4a^3+3a^2-2a+1[/tex]
X [tex]a^2-2a+3[/tex]
______________________
+ [tex]12a^2+9a^3-6a+3[/tex]
[tex]-8a^4-6a^3+4a^2-2a[/tex]
[tex]4a^5+3a^4-2a^3+a^2[/tex]
_______________________
[tex]4a^5-5a^4+4a^3+14a^2-8a+3[/tex]
This is the complete multiplication of given equation with vertical method. Comparing with the sum shown in figure we get,
[tex]A=4a^2\\B=4a^3\\C=3\\D=3a^4[/tex]
Thus, the multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
Learn more about the vertical method to multiply here:
https://brainly.com/question/12709314
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Related Questions
Ajar contains $36.25 in dimes (10 cents) and quarters (25 cents). There are 250
coins in the jar. How many quarters are there in the jar?
Answers
Answer:
Step-by-step explanation:
The jar contains 2 types of coins dimes and quarters
the total amount is equal to 36.25 dollars
the total number of coins is 250
let number of dimes be x and quarters be y
let us put the equation
0.10x + 0.25y = 36.25
for our convinience convert all money to cents i.e. = 3625 cents
now the equations are
10x + 25y = 3625
x + y = 250
we need to solve for y i.e. number of quaters
y = 250 - x
rewrite the equation substituting y in x place
10(250 - y) +25 y = 3625
2500 - 10y +25y = 3625
15y = 1125
y = 75
so the number of quarters = 75
cross checking :
number of dimes = 250 - 75 = 175
total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25
City y is 10 miles north of city x city z is 24 miles east of city x how long is the straight roads connecting cities y and z?
Answers
Answer:
26 miles
Step-by-step explanation:
Using Pythagoras rule :
d = straight road connecting city Y and Z :
d = sqrt(xy² + xz²)
d = sqrt(10² + 24²)
d = sqrt(100 + 576)
d = sqrt(676)
d = 26 miles
I want to give away some points so whoever can answer 1+1 your a big brain and deserve the points!
Answers
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation: 1 2 3 so 1 + 1 is 2
Calculate the side lengths a and b to two decimal places.
Answers
Answer:
Below in bold.
Step-by-step explanation:
m < C = 180 - 43 - 115 = 22 degrees.
Using the Sine Rule:
6 / sin 22 = a / sin 43
a sin 22 = 6 sin 43
a = 6 sin 43 / sin 22
a = 10.92 to 2 DP's.
Applying the same rule to calculate b:
6 / sin 22 = b / sin 115
b = 6 sin 115 / sin 22
b = 14.52 to 2 DP's.
Choose the longer measurement
14 inches 1 foot
Answers
Answer:
tue
Step-by-step explanation:
Answer:
it 14 inch because 1 foot is 12 inches, and 14 inches is greater
Step-by-step explanation:
what is this please help I'll give you a brainliest
Answers
The coordinate of V will be (4,0)
Answer : the third option (4,0)
HOPE IT HELPS ☺️
Jacob has an $8 gift certificate to use
at a toy store. He decides to buy a toy
airplane that costs $8.61, and 3 toy
cars that cost $2.85 each.
If Jacob uses his gift certificate, how
much money will he need to pay?
Answers
2.85 * 3= 8.55
8.61+8.55=17.16
17.16-8 (the gift certificate)= 9.16
solve
plz -4p-2r-15p
Answers
Answer:
-2r-19p
Step-by-step explanation:
-4p-2r-15p
add like terms
-2r-19p
Please help me this is my final!!!
Answers
Answer:
final for what?
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
Okay since the exterior angles of every polygon is always 360
and this polygon has 40 sides,
360/40=9
180-9=171
Hope This helps
(what grade is this?)
find the value of given expression
[tex] \sqrt{312 \times 312} [/tex]
Answers
Step-by-step explanation:
[tex]
\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312
[/tex]
Hope it will help :)❤
Answer:
√{312×312}=√312²=±312 is your answer
What is the nth term of the sequence 2,5,10,17,28.. ?
Answers
n² + 1 = 2 5 10 17 26. So the nth term of the sequence is n²+1.
hi hi hi hi hi help help help help
Answers
Answer:
rate
Step-by-step explanation:
r(t)=d
r=d/t
r=miles/hour=mph
r=12
Answer: I THINK it’s d
Step-by-step explanation:
Please help I am so stuck
Answers
read what the pic says aight-
Answers
Answer:
doesn't make sense...
Step-by-step explanation:
Answer:
It would double in size
Step-by-step explanation:
Judging as the circumference of a circle is dependent on the diameter, a circle whose diameter doubled in size would double.
An example would be a circle with the circumference of 20. It's radius would be 10 rather than 5. The circumference of the circle with a diameter of 10 would be roughly 31, while the circle with a diameter of 20 would have a circumference of roughly 62.
45 is what percent of 60
Answers
Answer:
75%
Step-by-step explanation:
[tex]\frac{x}{100} = \frac{45}{60}[/tex]
45 x 100 = 4,500
4,500 divided by 60 = 75
Please. I’m begging for help. I have no idea what to do. Could you possibly explain on how to do it
Answers
8-6=2
6/15=2/a
a=15•2/6
a=30/6
a=5
X=a+15
X=5+15
X=20
Maura is going to hire a makeup artist for a fashion show and is comparing prices. Evelyn charges $19 as a booking fee and an additional $89 per hour. Brenda charges $87 per hour, plus a booking fee of $21. Depending on the length of the show, the cost could end up being the same for either artist. How long would the show be? What would the cost be?
Answers
Step-by-step explanation:
Evelyn: Y=89x + 19
Brenda: Y=87x + 21
Punch in numbers for X until you get the same for both. Remember that X is hours and Y is total. the numbers with no letters is the fixed booking amount. cheers. Good luck :)
Emily created a table to describe the weather conditions in her area on a specific day. What do the labels A and B in the table represen!
B
5- 25 °C
304 Sunny
(2 points)
O A is air pressure and is a temperature
O Ais humidity and precipitation
O A is precipitation, and B is air temperature
O Ais wind speed, and Bishemidity
Answers
Answer:
The answer is a is precipitation and air temperature
Step-by-step explanation:
Answer:C
Step-by-step explanation:
Carlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?
3y + 5y ≠ 8y
3y + 5y3 = 8y3
3(4) + 5(4)3 ≠ 8(4)4
3(4) • 5(4)3 ≠ 8(4)4
Answers
Answer:
C. 3(4) + 5(4)³ ≠ 8(4)⁴
Step-by-step explanation:
3y + 5y³ is NOT the same as 8y⁴
Assume y = 4
Not equal to sign ≠
3y + 5y³ ≠ 8y⁴
3(4) + 5(4)³ ≠ 8(4)⁴
12 + 20³ ≠ 32⁴
12 + 8000 ≠ 1,048,576
8012 ≠ 1,048,576
The statement which shows that 3y + 5y³ is NOT the same as 8y⁴ is 3(4) + 5(4)³ ≠ 8(4)⁴
Can someone plz help me with this??
Answers
Answer:
it's the second choice (3=3)
Answer:
y = - x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1-3}{3-1}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , then
y = - x + c ← is the partial equation
To find c substitute (1, 3 ) into the partial equation
3 = - 1 + c ⇒ c = 3 + 1 = 4
y = - x + 4 ← equation of line
Write down the number eleven thousand,eleven hundred and eleven in figures
Answers
Answer:
12,111
Step-by-step explanation:
How many of the small prisms would it take to completely fill up the larger prism (I need helpppp)
Answers
Answer:
we need the mesurmwnt of the prismms dude
Step-by-step explanation:
what is the opposite of -20?
Answers
Answer:
its 20
Step-by-step explanation:
$13,000 for 8 years at
3.6% annual
simple
interest
Answers
Link: http://www.moneychimp.com/features/simple_interest_calculator.htm
Help out a bro will give Brainly
Answers
A car travels 80 millimetres in 2 1/2 hours . What is it speed in kilometres per hour
Answers
Answer:
32 Kilometers
Step-by-step explanation:
A Car travels 80 Kilometers in 2 and Half hours.
1 Hour =60 minutes, 2 & Half hours= 2.5*60= 150 minutes
Kilometers travelled by Car in a hour= 80/150*60= 32 Kilometers
Please help
Write an equation for the situation: Karen wrote a check for $72. She subtractded the amount from her checkings account and found that the balance was $383 after writing this check. What was her balance before writing the check?
10 points
Answers
Answer:
She had $455 before
use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)^x-5+8 you may wish to grab it and its parent function y=0.5^x on the same axes
The parent function y=0.5^x is _____ across its domain because its base b is such that
Answers
First box is: decreasing
Second box: 0< b< 1
Third box: Up
Fourth box: Right
The parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.
What is translation of a function?Translation of a function is shifting the function from its original place in the graph.
Types of translation -
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)+c shifts the graph c units down and by replacing parent function with f(x)-c shifts the graph b units up.
The functions of the graph given in the problem as,
[tex]f(x) = (0.5)^{x-5}+8[/tex]
The parent function of the graph is,
[tex]y=0.5^x[/tex]
In the parent function, the 5 units subtracted, and 8 units added outside the function. Thus, the function shifts the parent function 8 units up and 5 units right.
Thus, the parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.
Learn more about the transition of a function here;
https://brainly.com/question/626170
14. A red dress priced at Php 550.00 is marked 15% off. How much will be the discount?
a. P 82.50
b. P 8.50
c. P 825
d. P 85
Answers
Answer:
the answer for the discount is A. P 82.50
Step-by-step explanation:
Finding the Discount
The discount refers to the amount being deducted from the original price. It is determined by the rate. To find the discount, multiply the rate by the original price.
Given:
original price - P 550.00
rate - 15%
Equation:
Remember to convert the rate to decimal by dividing it by 100.
P 550.00 × 0.15 = N
Solution:
P 550.00 × 0.15 = P 82.50
Final Answer:
P 82.50
The volume of the rectangular prism is 295.68 in. What is its width?
6.4 in.
11 in.
Answers
Answer: 4.2 in³
Step-by-step explanation: We already know the Height, Length, and he volume, but we don't know the width. To find the width:
1. Find the values. 295.68, 6.4, and 11 are all the values.
2. Multiply the Length and Height.
6.4 × 11 = 70.4
3. Calculate the Width by dividing the volume by the product of the length and height
295.68 ÷ 70.4 = 4.2
Hence, 4.2in³ is the missing width.
Let me know if you have any questions.
~ Lily, from Brainly.