Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
2
x
-
3
2
x
2
-
3
x
+
5
Divide the highest order term in the dividend
2
x
2
by the highest order term in divisor
2
x
.
x
2
x
-
3
2
x
2
-
3
x
+
5
Multiply the new quotient term by the divisor.
x
2
x
-
3
2
x
2
-
3
x
+
5
+
2
x
2
-
3
x
The expression needs to be subtracted from the dividend, so change all the signs in
2
x
2
−
3
x
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
0
Pull the next term from the original dividend down into the current dividend.
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
0
+
5
The final answer is the quotient plus the remainder over the divisor.
x
+
5
2
x
−
3
the answer doesn’t have to be long i just really need help
I'm not 100% sure about part A, but it looks like a regular hexagon is being constructed. Though some marks seem to be missing. Again I'm not fully certain.
But I'm sure about parts B and C.
For part B, this is showing the construction of the perpendicular bisector to segment AB. The perpendicular bisector is perpendicular to the given segment and it cuts the given segment AB in half.
In part C, a line is being constructed to go through point R such that it is parallel to line PQ.
In the diagram of equilateral triangle ABC shown
below, E and F are the midpoints of AC and BC,
respectively.
If EF = 2x + 8 and AB = 7x - 2, what is the
perimeter of trapezoid ABFE?
1) 36
2) 60
3) 100
4) 120
the answer is 100....... ...
Answer:
Perimeter of trapezoid ABEF= 16x +4
Step-by-step explanation:
Since it is an equilateral triangle
AC = BC = BC = 7x - 2
Point E and F is formed at mid point of line AC and BC respectively.
Therefore AE = 1/2 x AC and BF = 1/2 x BC
Perimeter of trapezoid ABEF = AB + EF + AE + BF
AB = 7x - 2
EF = 2x + 8
AE = (7x - 2)/2
BF = (7x - 2)/2
Perimeter = 7x - 2 + 2x + 8 + (7x - 2)/2 + (7x - 2)/2
= 7x - 2 + 2x + 8 + 7x - 2
= 7x + 2x + 7x - 2 + 8 - 2
Perimeter of trapezoid ABEF= 16x + 4
James walked 3 3/4 miles in 7/8 of an hour. What was his speed in miles per hour?
Final answer:
James's speed in miles per hour is calculated by dividing the distance walked (3 3/4 miles) by the time taken (7/8 hour), resulting in an average speed of approximately 4.29 miles per hour.
Explanation:
To calculate James's speed in miles per hour, we first need to determine how many hours he was walking. Since he walked for 7/8 of an hour, we then divide the distance he walked, 3 3/4 miles, by the time in hours to find his speed. The calculation is as follows:
Speed = Distance / Time
Convert 3 3/4 miles to a decimal, which is 3.75 miles. Then take 7/8 hour and convert to decimal form, which is approximately 0.875 hours. Therefore:
Speed = 3.75 miles / 0.875 hours = 4.29 miles per hour (rounded to two decimal places).
Thus, James's average speed was approximately 4.29 miles per hour.
Solve the system of linear equations.
x + y = 4
2x − 3y = 18
A) (6, 2)
B) (−6, 2)
C) (6, −2)
D) (−6, −2)
Answer:
The answer is C) (6, -2).
Step-by-step explanation:
First, subtract both sides by y in the first equation, to figure out what x is.
x+y-y=4-y
x=4-y
x is equal to 4-y. Use substitution to plug that in to the second equation for x.
2x-3y=18
2(4-y)-3y=18
Now, solve for y. Expand.
2(4-y)-3y=18
8-2y-3y=18
Combine like terms.
8-2y-3y=18
8-5y=18
To get y by itself, subtract 8 from both sides.
8-8-5y=18-8
-5y=10
Lastly, divide both sides by -5.
-5/-5y=10/-5
y=-2
Since we know that y is equal to -2, we can solve for x in the equation x=4-y.
x=4-y
x=4-(-2)
*Negative & Negative makes a Positive*
x=6
Therefore, your answer is x being equal to 6, and y being equal to -2.
Hope this helped!
Final answer:
To solve the system of linear equations, we first solve one equation for a variable and then substitute it into the other. Through simplification and combination of like terms, we find that the solution is (6, -2), which is option C.
Explanation:
The subject question involves solving a system of linear equations. We are given the first equation, x + y = 4, and the second equation, 2x - 3y = 18. To find the solution, we will use the method of elimination or substitution to solve for the values of x and y.
Step-by-Step Solution
Solve the first equation for y: y = 4 - x.
Substitute y in the second equation: 2x - 3(4 - x) = 18.
Simplify: 2x - 12 + 3x = 18.
Combine like terms: 5x = 30.
Divide by 5: x = 6.
Substitute x in the first equation: 6 + y = 4.
Solve for y: y = -2.
The solution to the system of equations is (6, -2), which corresponds to option C.
Simplify the expression.
Answer:
I'm pretty sure the answer is 5.2h-2.9d-16
please help me out much love, if you're good at geometry hml
Check the picture below.
This week there are 144 members at the meeting, which is 90% of the total group. What is the total number of green team members?
Answer:
The total number of Green team members is 160.
Step-by-step explanation:
Given 90% of the total members present at the meeting which is 144.
Let the total number of members be x.
[tex]90\%\ of x=144\\\frac{90\times\ x}{100}=144\\9x=1440\\x=\frac{1440}{9}=160[/tex]
Hence we can say that, The total number of Green team members is 160.
Answer:
160
Step-by-step explanation:
The average typing speed of a stenographer is 100 words per minute. How many words would a stenographer type in 4⁄5 of a minute if typing at the average speed?
Answer:
80 words. 4/5 of 100 is 80
Step-by-step explanation:
Answer: 80
5th of a minute is 12 seconds so 4/5 equals 48 seconds.
100 words per minute equals 1.66666667 words per second ( 100 divided by 60)
So 1.66666667 X 48 = 80)
Step-by-step explanation:
write an expression to represent the perimeter of the following rectangle
There is no illustration, so it is impossible to answer this question. I apologize.
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1
kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer:
The group lose each day 8.8 pounds.
Step-by-step explanation:
Given:
Fitness club members lose a combined total of 28 kilograms in 1 week.
There are approximately 2.2 pounds in 1 kilogram.
The weight loss happened at a constant rate.
Now, to find the pounds of weight the group lose in each day.
In 1 week the group lose = 28 kilograms.
So, in 1 day the group lose [tex]=28\div 7 kilograms[/tex] (1 week = 7 days)
[tex]=4 kilograms.[/tex]
According to question:
1 kilogram = 2.2 pounds.
So, 4 kilograms [tex]= 2.2\times 4 = 8.8 pounds.[/tex]
Therefore, the group lose each day 8.8 pounds.
When you order a sandwich at Nelly’s Deli, you can choose from 4 kinds of bread and 7 kinds of meat. On any sandwich, you can have mayonnaise or mustard or both or neither. How many different sandwiches can be ordered? Please show work along with the answer
Answer:
4 times 7 time 4 = 112
Justin is planning to purchase books for $20 each month. How much money will he spend on the books in 2 years?
Answer: $480.
Step-by-step explanation:
1 year = 12
2 years = 24
$20 × 24 = $480
Answer:
$480
Step-by-step explanation:
so there is 12 months in a year but 2 years is 24 months so just do 24 times the 20 dollars on book for each month and you get that he spends $480 in 2 years
(24 times 20=$480)
Please help me please please : ( : (
The top of blue mountain ski slope is 17 3/4 yards above sea level . The lowest point of the ski slope is 13 1/4 yards below sea level . Joe and Steve are going skiing and will be taking a ski lift up to the top of the mountain .The ski lift is going to pick them up at the midpoint between the top and bottom of the slope . At what elevation will they be picked up ? Skow your work answer it correctly please i need it today right now please
Answer:
They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level
Step-by-step explanation:
Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.
With respect to this reference,
the position of top most point is +17 [tex]\frac{3}{4}[/tex] yards
and the position of lower most point is -13 [tex]\frac{1}{4}[/tex] yards
⇒ The position of midpoint is [tex]\frac{+17 \frac{3}{4} - 13 \frac{1}{4}}{2}[/tex]
= +2 [tex]\frac{1}{4}[/tex]
∴ They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level
Mona, Tabitha, and Reid are at a frozen yogurt shop. At the shop, frozen yogurt and toppings are charged by the ounce.
The following table shows the weight and cost of each person's bowl.
Person Mona Tabitha Reid
Weight of bowl 9.2 ounces 8.1 ounces 7.8 ounces
Cost of bowl $4
65
A. What does the yogurt shop charge per ounce?
B. What should Reid's bowl cost?
Answer:
(a)The cost of per ounce of yogurt = $0.45
(b) The the cost of Reid's bowl = $3.51
Step-by-step explanation:
Here, according to the question :
The cost of 9.2 ounce yogurt bowl = $4 .14
The cost of 8.1 ounce yogurt bowl = $3.65
(a) Now, [tex]\textrm{Cost of 1 ounce of yogurt} = \frac{\textrm{Price of n ounce of yogurt}}{\textrm{ n}}[/tex]
= [tex]\frac{\textrm{Price of 9.2 ounce of yogurt}}{\textrm{ 9.2}} = \frac{4.14}{9.2} = 0.45[/tex]
So, the cost of per ounce of yogurt = $0.45
(b) Now, the amount if yogurt in Reid's Bowl = 7.8 ounces
So, the total cost of her bowl with 7.8 ounce yogurt = 7.8 x ( cost of 1 ounce of yogurt)
= 7.8 x ( $0.45) = $3.51
So, the the cost of Reid's bowl = $3.51
Answer:
A) $0.45 per oz
B) $3.51
4.14/9.2 = 0.45
0.45 x 7.8 = 3.51
Step-by-step explanation:
Question 16....please help me out
Answer:
Persian-Maine Coon-American Shorthair
Step-by-step explanation:
If you look back at the question, you will see the numbers 13.65,13.07, and 13.6. So, we'll do this by digits.
The first digit of all the numbers is 1. So we'll move on. The second digit is a3, of which all numbers have in common. So we'll move on again. So now ur down to the digits 6, 0, and 6. Well, 13.07 belongs to the Persian. Then You'll see a 6, which belongs to the Maine coon. Lastly, you have another 6, which goes to the American shorthair. Correct me if i'm wrong :-)
A waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height, h, of the pebble aftert
seconds is given by the equation hs - 167" + 16 + 1400. How long after the pebble is thrown will it hit the ground?
The pebble hits the ground approximately 8.88 seconds after it is thrown, based on the given equation for its height.
To find out when the pebble hits the ground, we need to find the time when the height h(t) equals 0.
Given that the height h(t) of the pebble after t seconds is given by the equation:
[tex]\[ h(t) = -16t^2 + 16t + 1400 \][/tex]
We set h(t) to 0 and solve for t:
[tex]\[ -16t^2 + 16t + 1400 = 0 \][/tex]
Now, we can use the quadratic formula to solve for t :
[tex]\[ t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]
where a = -16, b = 16, and c = 1400.
Plugging these values into the quadratic formula:
[tex]\[ t = \frac{{-16 \pm \sqrt{{16^2 - 4(-16)(1400)}}}}{{2(-16)}} \]\[ t = \frac{{-16 \pm \sqrt{{256 + 89600}}}}{{-32}} \]\[ t = \frac{{-16 \pm \sqrt{{89856}}}}{{-32}} \]\[ t = \frac{{-16 \pm 300.1}}{{-32}} \][/tex]
We'll ignore the negative solution because time can't be negative in this context. So, we use the positive solution:
[tex]\[ t = \frac{{-16 + 300.1}}{{-32}} \]\[ t = \frac{{284.1}}{{-32}} \]\[ t \approx -8.88 \][/tex]
Since time can't be negative, we discard this solution. The only meaningful solution is when the pebble hits the ground. Thus, the pebble hits the ground approximately 8.88 seconds after it is thrown.
100 POINTS AND MARKED AS BRAINLIEST IF YOU ANSWER THIS
Create an expression that you would use to solve the problem below.
YOU DO NOT NEED TO SOLVE. Just set up the expression to represent the situation below.
A tool rental cost $0.65 per minute. If the total bill for the rental was $18.20, then for how many minutes was the tool used?
The expression that represents the situation is 0.65 x = 18.2
The tool used for 28 minutes
Step-by-step explanation:
The given is:
A tool rental cost $0.65 per minuteIf the total bill for the rental was $18.20Assume that the tool rent for x minutes
∵ The tool rental cost is $0.65 per minute
∵ The number of minutes is x
∵ The total bill for the rental = $18.20
∴ 0.65 x = 18.20
The expression that represents the situation is 0.65 x = 18.2
Solve the equation to find x
∵ 0.65 x = 18.20
- Divide both sides by 0.65
∴ x = 28
The tool used for 28 minutes
Learn more;
You can learn more about the word problem in brainly.com/question/3950386
#LearnwithBrainly
The ordered pair of f(x) is shown below (7,0) )(-3,0) (2,0)(9,0) what is the value of f(-3)
The value of f(-3) will be zero
Step-by-step explanation:
Given ordered pair of function f is:
(7,0) )(-3,0) (2,0)(9,0)
The general form of ordered pair is (x,y) where x is the element of domain of function and y is the respective range value i.e. x is input and y is output
So,
In order to find the value of f(-3) we have to observe which ordered pair has -3 as input i.e. as first element of ordered pair
The required ordered pair is: (-3,0)
In the required pair, -3 is the input and 0 is the respective output
So,
The value of f(-3) will be zero
Keywords: Domain, Range
Learn more about functions at:
brainly.com/question/4639731brainly.com/question/4655616#LearnwithBrainly
A girl paid the property tax of RS. 2068 at the rate of 0.8%. Find the worth of property?
Answer:
Let the worth of the property be x
0.8x/100 = 2068
8x = 2068000
x = 258500 Rs.
Hope this helps!
Solve the system of linear equations using elimination. −7x + 3y = −6 −3x + 3y = 6
Answer:
x = 3 , y = 5
Step-by-step explanation:
Solve the following system:
{3 y - 7 x = -6 | (equation 1)
3 y - 3 x = 6 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{-(7 x) + 3 y = -6 | (equation 1)
0 x+(12 y)/7 = 60/7 | (equation 2)
Multiply equation 2 by 7/12:
{-(7 x) + 3 y = -6 | (equation 1)
0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{-(7 x)+0 y = -21 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 3 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = 3 , y = 5
Answer:
(3, 5)
Step-by-step explanation:
−7x + 3y = −6
−3x + 3y = 6
Subtract the second equation from the first.
−4x = −12
x = 3
Then substitute. → −7x + 3y = −6 → −7(3) + 3y = −6
y = 5
In a right triangle, the legs have lengths of 8 and 15. What is the perimeter of this triangle?
Answer:
40
Step-by-step explanation:
Use Pythagorean Theorem to find the 3rd side, which will be 17. Then add all of the sides and you'll get the answer.
display shelf holds 6 trophies you have 24 trophies to display how many shelf will you need
Answer:
4 shelfs are needed
Step-by-step explanation:
24/6= 4
Brian buys 6 books and the total cost is $24.18. What is the constant of proportionality that relates the cost in dollars, y, to the number of books, x?
Answer:
4.03
Step-by-step explanation:
Y = kx
y = 24.18
x = 6
k = constant of proportionality
Y =kx
Step 1. Substitute number based on the formula
24.18 = k6
Step 2. Transpose Y to the left to find the ratio of constant proportionality
K = 24.18/6
Step 3. Divide Y over X
K = 4.03 (answer)
If g(n) varies inversely with n and g(n) = 8 when n = 3, find the value of n when g(n) = 6.
24
17
0
4
Answer: Last option.
Step-by-step explanation:
By definition, Inverse variation equations have this form:
[tex]y=\frac{k}{x}[/tex]
Where "k" is the constant of variation.
In this case, it is:
[tex]g(n)=\frac{k}{n}[/tex]
Knowing that [tex]g(n) = 8[/tex] when [tex]n = 3[/tex], we can substitute values into the equation and solve for "k":
[tex]8=\frac{k}{3}\\\\8*3=k\\\\k=24[/tex]
Therefore, we can find the value of "n" when [tex]g(n) = 6[/tex] by substiuting this value and the value of "k" into the equation and solving for "n". Then:
[tex]6=\frac{24}{n}\\\\6n=24\\\\n=\frac{24}{6}\\\\n=4[/tex]
What is 6 1/3 - 2 2/3 =
Answer: 3 and 2/3
Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.
Notice here however that we have 1/3 - 2/3 which will gives us a negative fraction. Since this will cause us a lot of trouble, instead, we can rewrite the first mixed number. We can do this by thinking of 6 and 1/3 as 5 + 1 and 1/3 or as 5 + 4/3 by changing 1 and 1/3 into an improper fraction.
So 6 and 1/3 can be written as 5 and 4/3.
Now we have 5 and 4/3 - 2 and 2/3.
Now, subtract the fractions.
So we have 4/3 - 2/3 which is 2/3. Then subtract the whole numbers. 5 - 2 is 3 and now we have the mixed number 3 and 2/3 which is in lowest terms.
Therefore, 6 and 1/3 - 2 and 2/3 = 3 and 2/3.
Since both fractions have common denominators we can just put them into improper fractions.
6 1/3 = 19/3
2 2/3 = 8/3
Now, we can subtract. (When you add or subtract fractions you only add or subtract the numerators, never the denominators.)
19/3 - 8/3 = 11/3
Turn into mixed number.
11/3 → 3 2/3
______
Best of Luck,
Wolfyy :)
[tex] 9x - 43 = 5x + 1[/tex]
Answer:
x = 11
Step-by-step explanation:
Given
9x - 43 = 5x + 1 ( subtract 5x from both sides )
4x - 43 = 1 ( add 43 to both sides )
4x = 44 ( divide both sides by 4 )
x = 11
How many cubic inches of plastic needed to fill the mold?
Answer:
C. 36π
Step-by-step explanation:
The formula for volume of a sphere is:
V=⁴/₃πr³
We are given diameter: 6
To convert to radius, divide by 2.
6÷2=3. R=3
Plug in to formula
V=⁴/₃π3³
Simplify with multiplication
V=⁴/₃π27
V=36π
2
What is the value of a in the equation 5a - 10b = 45, when b = 3?
3
15
21
39
Answer:
a = 3
Step-by-step explanation:
b = 3
10*3 = 30
45-30 = 15
15/5 = a
a = 3
Answer:
15
Step-by-step explanation:
5a-10(3)=45
5a=45+30
5a=75
a=15
How can I Factor 7 + 14x ??
Answer: 7(1+2x)
Step-by-step explanation:
7 and 14 can be divided by 7. As a result, you take 7 out and bam!
how many time does 6 go into 26
Answer: 6 goes into 26 4 times.
Step-by-step explanation:
Because 6 * 10 is 60, we know that it cannot be more than 10.
5 * 6 = 30, so we know it cannot be more than 5.
6 * 4 = 24. Because we cannot add 6 more, we know that 24 is the highest we can go.
Answer:
4 with remainder of 2
Step-by-step explanation:
26/6=4 2/6=4 1/3