Answers
Answer:
Step-by-step explanation:
Given polynomial is → 6x³- 9x² + 12x - 15
3.3.1) Polynomial is divided by 3x,
3x) 6x³ - 9x² + 12x - 15 (2x²- 3x + 4
6x³
0 - 9x²
- 9x²
0 + 12x
+ 12x
0 - 15
Quotient of the polynomial = (2x² - 3x + 4)
Remainder = -15
3.3.2) Quotient is separated by the plus, minus signs.
Variable does not contain exponents as fraction or negative number.
There are no special features like log, radicals or trigonometric functions.
Therefore, quotient is a polynomial.
Related Questions
what is 7.5% of 180 dollars? please provide step by step answer
Answers
Answer:
13.5
Step-by-step explanation:
7.5 percent *180=
(7.5:100)*180=
(7.5*180):100=
1350:100= 13.5
4.
A baseball team will play 12 home games during the season. It has played 6 home
games so far. Of the season's remaining games, will be played at home. The
equation f8 +6 = 12 can be used to find the total number of games, g, remaining this
season. How many games, g, remain in the season?
A. 6 games
B.
18 games
C. 24 games
D. 54 games
Answers
Expalinatio
-4(3k-6)-4k = -8k+24-4k
can yall solve this plz I want to go to sleep but my mom won't let me until I get my homework done
Answers
Answer:
0 (undefined)
Step-by-step explanation:
distribute on the left side first:
-4(3k-6)-4k
so -12k+24-4k
combine like terms
-16k+24
now the right side
-8k+24-4k
combine like terms
-12k+24
so it'll look like this
-16k+24=-12k+24
add -12k to the left
-4k+24=24
so then subtract 24
that'll leave you with 0
What is the slope of the line?
Answers
5. A rectangle with a diagonal of length x is twice as long as it is wide. Find the area of the
rectangle.
(a) 1/4x^2
(B)2/5x^2
(c) 1/2x^2
(D) x^2
(e) 20
Answers
Since, a rectangle with a diagonal of length x is twice as long as it is wide, the area of the rectangle is (B) 2x²/5
How to find the area of the rectangle?Given that we have a rectangle with a diagonal of length x is twice as long as it is wide.
Let
L = length of rectangle, W = width of rectangle and D = length of diagonal = xGiven that the length of diagonal, x is twice as long as it is wide, we have that
L = 2W
Also, since it is rectangle, we have that
D² = L² + W²
D² = (2W)² + W²
D² = 4W² + W²
x² = 5W²
W² = x²/5
W = x/√5
W = x√5/5
Since the length of the rectangle, L = 2W, we have that
L = 2W
= 2x√5/5
The area of the rectangleThe area of the rectangle is given by A = LW where
L = length of rectangle and W = width of rectangleSo, A = LW
= 2x√5/5 × x√5/5
= 2x² × 5/25
= 2x²/5
So, the area of the rectangle is (B) 2x²/5
Learn more about area of rectangle here:
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how do i solve this?
Answers
Answer:
y = 6
Step-by-step explanation:
You solve by using the pythagorean theorem, which is:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Where a and b are legs of the triangle, and c is the hypotenuse, or y in this case. So let's rearrange this equation for c:
[tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Now, we can substitute in the known values and solve:
[tex]c=\sqrt{3.6^{2} +4.8^{2} } = \sqrt{36} = 6[/tex]
Therefore, the value of y is 6
Hope this helps!
which set or sets does the number 5.6 belong?
im givng 29 points .-.
Answers
Step-by-step explanation:
Integers only
b
Rational numbers only
c
Integers and Rational numbers only
d
Whole numbers, Integers, and Rational numbers
PLEASE HELP if you can
Answers
The equation y--4=-2(x--1)
Ms.Betsys dog is on a diet at the beginning of The diet it weighed 42 lbs and is supposed to lose 2 pounds every week if The dog now weighs 28 pounds how long has it been on a diet?
Answers
Answer:7 weeks
Step-by-step explanation:
Given
Initial weight of the dog [tex]W_i=42\ lbs[/tex]
Final weight of the dog [tex]W_f=28\ Pounds\ or\ 28\ lbs[/tex]
Every week dog lose 2 pounds
Total weight loss=42-28=14 lbs
So, no of weeks= [tex]\frac{14}{2}=7\ weeks[/tex]
The area of a newspaper page (opened up) is about 630.92 square inches. Determine the length and width of the page if it’s length is about 1.22 times its width.
Answers
X x Y = 630.92 inches
Replace X with 1.22Y
Which looks like this
1.22Y x Y = 630.92 inches
Now get Y by itself
Y x Y = 630.92/1.22
Y squared= 630.92/1.22
Y= the square root of 630.92/1.22
Y= 22.74 inches
X= 22.74 x 1.22
X= 27.74 inches
Multiply X and Y to check your answer equals 630.92 inches
Hope this helps
The value of the length of the newspaper is 21.52 inches and the width is 22.74 inches.
What is a rectangle?
The rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Lets say,
Length of newspaper = l
Width of newspaper = w
Area of newspaper ( rectangle ) = l × w
Now,
Length is about 1.22 times its width.
So,
l = 1.22w
By substituting
1.22w × w = 630.92
1.22w² = 630.92
w² = 517.147
w = 22.74 inches
So,
l = 1.22 × 22.74
l = 21.52 inches
Hence "The value of the length of the newspaper is 21.52 inches and the width is 22.74 inches".
For more about rectangles,
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I need help. Please help me, thxs.
Answers
Answer:
50 years.
Step-by-step explanation:
Hope this helps!
250 is equal to the ratio ____ to 100
Answers
Answer:
25
Step-by-step explanation:
if you look at it, 250 is 1/4 of 1000 and 100 is 1/10 of 1000 so divide 250 by 10 and you get your answer.
On a blueprint for a house, the scale is 1/2 in = 4 feet. If
the length of a room is 32 feet, how long is it on the map?
Answers
Answer:
4 inchesStep-by-step explanation:
We can use a proportion to solve this.
Let x = how long the room is on the map
So, x/32 = 0.5/4
Cross multiply
4x = 16
Divide by 4
x = 4
Check
4/32 = 0.5/4
4 x 4 = 32 x 0.5
16 = 16
Our answer is correct
Blueberries cost $1.78 per pound. What is the cost of 1.05 pounds of blueberries? Round your answer to the hundredths. You will not grid the dollar sign.
Answers
Answer:
Approximately $1.87 ($1.869)
Step-by-step explanation:
There are 2 ways to do it
1.78 x 1.05 = 1.869 / $1.87
Or
1.78 x .05 = .089
1.78 + .089 = 1.869 / $1.87
Which graph shows the solution to the system of linear inequalities below?
y 2x+1
y <-2x-3
A. Graph B
B. Graph A
C. Graph
D. Graph D
Answers
A particular basketball team consists of 13 players. The coach must choose 3 players from the starting lineup of 5 players to participate in a post-game interview.
The Number of ways that the coach can choose the players for the interview based on the starting lineup from tonight's game is?
Answers
Answer:
10 ways
Step-by-step explanation:
Here, we want to calculate the number of ways in which the selection can be made
We have this as follows;
Since we have style starting line up already, it means a choice of 5 has been made from the 13 already. What is left is to make a selection of 3 from 5
To do this, we simply apply the combination formula
that would be;
5 C 3 = 10 ways
What is the quotient?
7)
126
А.
16
B.
17
С
18
D
19
Answers
Answer:
C
Step-by-step explanation:
The quotient is 18
all real numbers that are greater than 6 and less than 10
Answers
Answer:
I didnt know that and now that I do idc caus math is well y'know math -_-
Answer: 7,8,9
Step-by-step explanation: all the numbers between 6 and 10
Cans someone please help me with this question
Answers
Answer:
domain: -2,-3, -1, 0, 1, 2
range: -2, -1, 0, 1, 2, 3
domain is the x value, range is for the y values
in this case, this isn't a line, it's just a line plot, so you just list the coordinates of where each point is for x and y.
solve plsss
-8 = -0.8k
k = ?
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-8 =-0.8k Equation
Step 2
-8 =-0.8k Simplify
-8=-0.8
Step 3
-0.8k/-0.8=-8/-0.8
answer
k=10
8x+11-6x+5
Your answer
Answers
Answer:
2x +16
Step-by-step explanation:
group them by similar variables
8x-6x. 11+5
2x+16
Answer:
2x+16
Step-by-step explanation:
combine like terms
8x-6x+11+5
8x-6x=2x
2x+11+5
11+5=16
2x+16
Please help me, I’ll give points and brainliest!!
Answers
Answer:
B
Step-by-step explanation:
It would be b, because she withdraws money. A withdrawal of money would be negative.
3 however, would be positive. The number of days cannot be negative, and we cannot count backwards in time.
Hope this helps! :)
Write the equation so that y is a function of x. 5x + 4y - 7 = 5
Answers
Answer:\
Step-by-step explanation:
A Store charfes $0.20 per pound plus a set fee of $2 for ice.How many pounds of ice would somebody have brought if they paid $15
Answers
Answer:
65 pounds of ice
Step-by-step explanation:
15-2=13
13/0.2=65
Simplify the expression 63 = (1 + 8) - 23 – 5
Answers
Answer:
63=9-28
Step-by-step explanation:
just add them together
Answer:
its false
Step-by-step explanation:
i just know cuz im smart
What is 5×9÷2×3+9. I need help with thisss
Answers
Answer:
76.5
Step-by-step explanation:
That’s the answer
Is the sequence below arithmetic or geometric? Explain
how you determined this.
50, 30, 10,-10, ...
Write a formula in explicit form representing this
sequence
Answers
Answer: its geometric
Step-by-step explanation: The numbers are separated and are counting up Individually
Can you please help me I really need it to
Answers
Answer:
red: 13/33
yellow: 12/33
blue: 8/33
Step-by-step explanation:
Add together all of the values to find the total amount of sections (13+12+8=33) --> this will be your denominator
From there, each time you make the numerator the number of that color, which gives you:
red: 13/33
yellow: 12/33
blue: 8/33
I hope this helps!
Answer:
The probability of landing on red is 13/33, the probability of landing on yellow is 12/33, and the probability of landing on blue is 8/33.
Step-by-step explanation:
Everything is just a fraction, so just add all the numbers for your denominator, and put the other number for red yellow or blue as the numerator then simplify the fraction
Hey! A step by step explanation on this would be great! Thanks!
(25 Points)
Answers
Step-by-step explanation:
We find the stationary point of (20 + 2x)(1200 - 60x),
where x is the unit rate of increase/decrease.
d/dx [(20 + 2x)(1200 - 60x)]
= d/dx (-120x² + 1200x + 24000)
= -240x + 1200.
When d/dx [(20 + 2x)(1200 - 60x)] = 0,
We have -240x + 1200 = 0. => x = 5.
Price per shirt that maximise revenue
= $20 + $2x = $20 + $2(5) = $30.
Maximum revenue
= (20 + 2(5))(1200 - 60(5))
= $30 * 900 = $27,000.
Kayden went to the store to buy some walnuts. The price per pound of the walnuts is
$7.50 per pound and he has a coupon for $1.50 off the final amount. With the
coupon, how much would Kayden have to pay to buy 5 pounds of walnuts? Also, write
an expression for the cost to buy p pounds of walnuts, assuming at least one pound is
purchased
Answers
Answer:
he would have to pay $36.00
7.50p - 1.50
Step-by-step explanation:
Answer:
$36
expression: 1lb ($7.50) or x($7.50)
With coupon: x(7.50) - 1.50
Step-by-step explanation: