Given:
Dividend = [tex]9x^3+18x^2+20x+16[/tex]
Divisor = [tex]3x+4[/tex]
To find:
The quotient and remainder by using the long division method.
Solution:
Using the long division method, divide the polynomial [tex]9x^3+18x^2+20x+16[/tex] by [tex]3x+4[/tex] as shown below:
[tex]3x+4 |\overline{9x^3+18x^2+20x+16}|3x^2+2x+4\\[/tex]
[tex]9x^3+12x^2\\\underline{(-)\quad (-)\quad \quad \quad}[/tex]
[tex]0+6x^2+20x[/tex]
[tex]6x^2+8x\\\underline{(-)\quad (-)\quad \quad \quad}[/tex]
[tex]0+12x+16[/tex]
[tex]12x+8\\\underline{(-)\quad (-)}[/tex]
[tex]\underline{\quad 0\quad}[/tex]
Therefore, the quotient is [tex]3x^2+2x+4[/tex] and the remainder is 0.
Find the distance between the points (8, 1) and (5, 5).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
___ Units
HURRYHXHXHSHSHHSJSJH H U R R Y P LS
it is -1 and i have to type 20 characters to answer lol
Answer:
x = -1 (:
brainly rules 20 characters
Jim is building a model airplane. The
scale is 1 in:40 ft. The actual wingspan
of the plane is 211 feet. How long wil
wings of the model be?
Tell me how to show my work quick thooooo
Answer:
71/2 inches
Step-by-step explanation:
Answer is 71/2 inches because 40×7 equal 21
Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8
Step-by-step explanation:
- 2x-2y=-6
3x+4y=8
multiply equation (1) by 3 and equation (2) by 2
- 6x-6y=18
6x+8y=16
Add
2y=34
y= 34÷2
y=17
substitute 17 for y in equation (2)
3x+4y=8
3x+4(17)=8
3x+68=8
3x=8-68
3x=-60
x=-60÷3
x=-20
x=-20,y=17
If a=3 and b=7 find the value of
2ab
Answer:
2ab-87=12 to the 100th times 2ab equals 79 the answer
Step-by-step explanation:
Each gallon of gas costs $3.50.
Answer:
I need to know how many gallons you have.
Step-by-step explanation:
You should multiply the amount by how many gallons.
Answer:
whats the question
Step-by-step explanation:
Help me solve this!!!!!!!!!!!!
Answer: 160 burgers
Step-by-step explanation:
Let's write down our givens first
200 pounds is the weight of a wolf
They can eat 20% of their weight
Each burger is a quarter pound
So first 20% of 200pounds is 40 pounds so a wolf can eat 40 pounds of food
Now how many 1/4 hamburgers can make up 40 pounds
160 burgers
Use the operation signs +,-, x, and ⌯ once each in the expression below to make the number sentence true. Why does your answer make sense? Use evidence to justify your answer. 6 ___ (3 ___ 1) ___ 5 ___ 1 = 17
Answer:
[tex]6 * (3 - 1) + 5 \div 1 = 17[/tex]
Step-by-step explanation:
Given
[tex]6\ [\ ]\ (\ 3\ [\ ]\ 1\ )\ [\ ]\ 5\ [\ ]\ 1\ =\ 17[/tex]
Required
Fill in the box with +,-, x, and ⌯ (once each)
This question is solved using trial by error approach.
After some tests, the solution that matches the equation is:
[tex]6 * (3 - 1) + 5 \div 1 = 17[/tex]
Mei's salary starts at $16,000 per year with annual raises of $1500. Janet's starting salary is
$19,300 with annual raises of $950. After how many years will the two women be earning the
same salary?
Answer:
6
Step-by-step explanation:
Write out this whole number in word form. 789,654,321
seven hundred eighty nine million, six hundred fifty four, three hundred twenty one
The radius of the circle is 7cm. What is the area of the circle in cm2? Leave the answer in pi.
What is the number in a power that tells how many times the base is used as a factor
Answer:
"An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor." -wwwmathplanet.com
Answer:
an expression tells hiw many times is base used
What is the measure of each interior angle?
Answer:
144°
Step-by-step explanation:
The angles of a decagon add up to 1440°
1440/10=144
Answer:
144°
Step-by-step explanation
When u get the answer plss explain how u got the answer.
Answer:
they arrive at the same time
Step-by-step explanation:
the triangle is like the Pythagorean theorm
both the purple lines equal a^2+b^2
and the green line equals c^2
a^2+b^2=c^2
The official all-time high temperature in Osoyoos, B.C., was 43°C in July 1998. The official all-time low temperature was –21°C in February 1996. What is the difference between the two temperatures? Please show all your work.
Answer: 64°C
Step-by-step explanation:
Official all-time high temperature = 43°C
Official all-time low temperature = –21°C
The difference between the two temperatures will be calculated by subtracting the low temperature from the high temperature. This will be:
= 43°C - (-21°C)
= 43°C + 21°C
= 64°C
A dilation maps (4, 6) to (2, 3). Under the same dilation, (-1, 3) would be mapped to _____. (-1/2, 3/2) (-3, 0) (-2, 6)
Answer:
(-1/2, 3/2).
Step-by-step explanation:
A dilation maps (4, 6) to (2, 3).
4/2 = 2, 6/3 = 2
It means that each coordinate is divided by 2.
(-1, 3) would be mapped to
Dividing by 2: (-1/2, 3/2) is the correct answer
2) Meg has 5 yards of fabric. She needs 1-yard to
make a vest and 2-yards to make a skirt. How
much fabric will be left for a jacket?
1
8
2
Answer:
2
Step-by-step explanation:
Given A(8,3), B(4,8), C(4,4) and D(8,-1) find the slope of AB
Answer:
Step-by-step explanation:
Slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in A(8,3) and B(4,8)
[tex]=\frac{8-3}{4-8} \\=\frac{5}{-4}\\=-\frac{5}{4}[/tex]
Therefore, the slope of AB is [tex]-\frac{5}{4}[/tex].
I hope this helps!
g(x) = 4x + 3; Find g(10)
Answer:
43
Step-by-step explanation:
g(x)=4x+3
plug in 10
g(10)= 4(10)+3
= 40+3
= 43
Answer:
Sorry I just needed points
Step-by-step explanation:
A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful. Which of these methods will produce the most representative sample of the population of convention participants?
A. The hotelsends an email to a random selection of people who have been registered as convention participants during the past six months.
B. Surveyors stand beside one of the booths during a convention and ask the people who visit the booth if they brought their families.
C. Surveyors stand outside local attractions and ask arriving guests if any member of their family is in town for a convention
D. The hotel surveys all the convention visitors who eat at their hotel.
Answer: A
Step-by-step explanation:
I did the quiz
Tina is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 15 inches × 12 1/3 inches. She needs to cut another rectangle that is 10 1/4 inches by 10 1/3 inches. How many total square inches of construction paper does Tina need for her project?
Answer:
Step-by-step explanation:
Remark
This is an "in theory" type of question. She's going to actually need a little more.
Area 1
L = 15
W = 12 1/3
Area = L*W
Area = 15 * 12 1/3 I wonder if you know what the distributive property is. I'll try it. If you don't understand, leave a remark
Area = 15 * (12 + 1/3) Multiply both parts by 15
Area = 15*12 + 1/3 * 15
Area = 180 + 5
Area = 185 square inches.
Area 2.
This is a little harder because their are
2 fractions.
The easy way to do this is change to decimals
L = 10 1/3 = 10.33333333
W = 10 1/4 = 10.25
Area = 10.3333333 * 10.25
Area = 105.92 Add
Total Area
The total area = 290.92
12. A store charges a restocking fee for any returned item based upon the
item price. An item priced at $300 has a fee of $15. What percentage of the
item price is the restocking fee?
A. 4%
B.5%
C.6%
D.7%
Select the correct comparison
Answer:
pretty sure its d
Step-by-step explanation:
Because a has spread out dots and b has them all towered and neat so d
Answer:
D.)
Step-by-step explanation:
- 6
x= -18
3
360
f(x) =
I= 36
C
4x + 73
X = -18,36
f(-18) =
Answer:
f(−18)=−8
khan academy
The sum of two numbers is 58. The larger number is 6 more than the smaller number. What are the numbers?
Larger number:
Smaller number:
Answer:
Numbers are 32, and 26.
Step-by-step explanation:
58 / 2 = 29
29 + 3 = 32 (large number)
29 - 3 = 26 (small number)
Answer:
larger number is 32 smaller is 26
Step-by-step explanation:
A television and DVD player cost a total of 1035. The cost of the television is two times the cost of the DVD player. Find the cost of each item.
Cost of television:
Cost of DVD player:
Answer:
TV Price: 776.25
DVD Player Price: 258.75
Step-by-step explanation:
Television:
1,035 - 258.75 = 776.25
DVD Player:
1,035/2 = 517.5
517.5/2 = 258.75
How tall is the statue? PICTURE INCLUDED*
Your answer should be 12 feet, we do 4 * 15 which is 60, then divide by 5 which means 12 is your answer, or A.
write a quadratic equation with a double root of -5
Answer:
x^2 =5
Step-by-step explanation:
Answer:
x² + 10x + 25 = 0
Step-by-step explanation:
Given that x = - 5 is a root then (x + 5) is a factor
Since it is a double root then (x + 5)² so equation is
(x + 5)² = 0 ← expand factor using FOIL
x² + 10x + 25 = 0
At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour
Answer: 20 hr
Step-by-step explanation:
Given
The depth of accumulated snow is [tex]d=10\ in.[/tex]
Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]
Time taken for complete melting of snow is
[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]
Someone please please help please ASAP please please ASAP ASAP please please help please please ASAP ASAP please please ASAP please
Answer:
Question 5 is positive 8
Step-by-step explanation:
I need to see the number line for question 4