Answers
Answer:
Take f(x) to be 4x^3-5x^2-4x-4Take g(x) to be 5x^2+xThen proceed to do f(x)/g(x)Perform synthetic or long division (which ever is your preferred method) Your remainder will be whatever is left over at the end of the division and the quotient will be the first variables.Related Questions
What is the solution to the following proportion?
18/x = 3/2
Answers
Answer:
cross multiply to get 12
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
18 x 2 is 36 divided by 3 is 12
you can simplify 18/12 by 6 to get 3/2
Lucas took his bike to a local park to ride on some bike trail.Trail A is 6 3/4 miles long.Trail B is 8 1/2 miles long. How many miles long is Trail B then Trail A
Answers
Answer: Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.
Step-by-step explanation:
Length of Trail A = [tex]6\dfrac34[/tex] miles
= [tex]\dfrac{24+3}{4}[/tex] miles = [tex]\dfrac{27}{4}[/tex] miles.
Length of Trail B = [tex]8\dfrac12[/tex] miles
= [tex]\dfrac{16+1}{2}[/tex] miles = [tex]\dfrac{17}{2}[/tex] miles.
Trial B is longer then Trail A by [tex]\dfrac{17}{2}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{34}{4}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{7}{4}[/tex] miles
[tex]=1\dfrac{3}{4}[/tex] miles
Hence, Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.
which statement about 2(×+4) is true ?
Answers
Answer:
The answer is 2x + 8
Step-by-step explanation:
Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a cup. How many people can Clancy invite to his party if he needs a serving of yogurt as well?
Answers
Answer:
564 people
Step-by-step explanation:
Total cups of yogurt to share = 423 cups
Each guests get = 3/4 of a cup per serving
How many people can Clancy invite to his party if he needs a serving of yogurt as well?
Number of people Clancy can invite to his party = Total cups of yogurt to share / servings per guests
= 423 cups ÷ 3/4 cups
= 423 × 4/3
= 141 × 4
= 564
Number of people Clancy can invite to his party = 564 people
pleasee help i put it as 24 points and I will mark brainliest thank you
Answers
Hope this helps
Have a happy holidays
Which of the following is a solution of the function graphed below?
Answers
Answer:
Option A
Step-by-step explanation:
It's a point on the function's graph
The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the slope of
I’ll give brainliest
Answers
Answer:
The slope of WX and WY
Step-by-step explanation:
For us to have a rectangle, the angles at the edges equal 90
What this mean is that the width and the length are at 90 degrees
Hence, we can say that they are perpendicular to one another
Thus, we can calculate the slopes of both to drive home our point
Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle
2. In the formula y = mx + b, what does "m" stand for?
a) y-intercept
b) slope
O C) x-axis
d) y-axis
Answers
Answer:
B.)Slope
In the equation y = mx + b for a straight line, the number m is called the slope of the line.
find perimeter of semicircle if radius is 22 cm
Answers
The perimeter of a circle is equal to 2πR where R is the radius if we want the perimeter of the semicircle we divide by 2 and we get
P=πR=22π=22*3.14=69.08cm
The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot
Answers
Answer:
x = 4.85 feet
Step-by-step explanation:
Original area of the petting farm = 10 × 14
= 140 square feet
.
New area = double the original area = 140 * 2
= 280 square feet
New area of the petting farm =
Width × length
280 = (10+x) × (14+x)
280 = 140 + 10x + 14x + x²
280 - 140 = x² + 24x
140 = x² + 24x
x² + 24x - 140 = 0
Solve the quadratic equation
x = -b ± √b² - 4ac / 2a
= -24 ± √(24)² - 4*1*-140 / 2*1
= -24 ± √ 576 - (-560) / 2
= -24 ± √ 576 + 560 / 2
= -24 ± √1,136 / 2
= -24 ± 4√71 / 2
= -24/2 ± 4√71/2
= -12 ± 2√71
x = 4.8523 or x = -28.8583
x can not be a negative value
Therefore,
x = 4.85 feet to the nearest hundredth
Find the unknown side length of the rectangle is 3 2/3 and if the area is 11m2
Answers
Answer:
The width of the rectangle given is equal to 3m.
Step-by-step explanation:
In order to solve this question we need to know that the areas of the rectangle is equal to [tex]A_{rectangle} = (l)(w)[/tex], where "l" is length and "w" is width. So know in order to solve this question we would have to find out the unknown width by using area and the length of the triangle. Based on the formula I wrote down earlier we can understand the following.....
[tex]A_{rectangle} = (l)(w)[/tex]
[tex]\frac{A_{rectangle} }{l} = \frac{(l)(w)}{l}[/tex]
[tex]w = \frac{A_{rectangle} }{l}[/tex]
Just now we found out the formula that we can use to solve for the width when we know the area and the length of the rectangle. Now in order to get the answer we just have to plug in the values we know, and we get........
[tex]w = \frac{A_{rectangle} }{l}[/tex]
[tex]w = \frac{11m^{2} }{(3\frac{2}{3}m )}[/tex]
[tex]w = 3m[/tex]
please help ill give brainliest
Answers
Leo’s equation: V = 1/2(21)(7)(29)
Darcie: V = 1/2(13)(4)(19)
Explanation:
The formula for the volume of a triangular prism = 1/2(base)(height)(length)
Write an equivalent expression for 2(1.7x + 3.3) + 5(2.6x + 1.4) by combining like terms
Answers
Answer:
16.4x + 13.6
Step-by-step explanation:
Equivalent Expressions
Algebraic expressions can be given in different forms when applying properties of the basic operations.
The given expression is:
2(1.7x + 3.3) + 5(2.6x + 1.4)
Multiplying both parentheses by the outer factor:
3.4x + 6.6 + 13x + 7
Combining like terms:
16.4x + 13.6
The original and the final expressions are equivalent because they produce the same results
Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
£3591
Step-by-step explanation:
Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.
The formula for Depreciation rate =
P = Po × e^-rt
P = Amount after depreciation
Po = Initial amount = £ 3600
r = depreciation rate = 5% = 0.05
t = time in years = 2
Hence:
P = £3600 × e ^ -0.05 × 2
P =£ 3600 × e-0.0025
P = £ 3591.0112406
Approximately = £3591
Which of the following is the position of median? *
(N+1)/4 item
3(N+1)/4 item
3(N+1)/2 item
(N+1)/2 item
Answers
Answer:
(N+1)/2 item
Step-by-step explanation:
(N+1)/2 item is the correct answer.
Here is a list of ingredients for making 12 small cakes. 108 g margarine 180 g sugar 200 g plain flour 1 teaspoon baking powder 2 eggs. Joe is going to make 24 of the small cakes. Determine how much margarine he will need. Write your answer in a complete sentence.
Answers
Answer:
216g of margarine
Step-by-step explanation:
From the above question:
12 small cakes required 108g of margarine
If he would be making 24 of the small cakes, hence, that would be calculated as:
12 small cakes = 108g of margarine
24 small cakes = x
Cross Multiply
12 × x = 24 × 108g
x = 24 × 108g/12
x = 216g of margarine
Therefore, he would need 216g of margarine to make 24 of small cakes
For the equation y = 2.5X, choose which ordered pairs would be on the line if it was graphed? Select ALL that apply.
(0, 0) and (-4, -10)
(1, 3.5) and (2, 5)
(1, 2.5) and (3, 6.5)
(-1, -2.5)
(0. 0) and (2, 5)
(3, 7.5) and (-3, -7.5)
Answers
An electrician charges $50 to come to your house. He also charges $25 for each hour he spends at your house. The electrician charges you a total of $125. How many hours did he spend at your house? Please also write the equation
Answers
Answer:
He was there for three hours
Step-by-step explanation:
$25 times 3=$75
$50+$75=$125
What is the graph of the function rule y=1/3x−1
Answers
the y-intercept is -1 so it will go through-1 on the y-axis.
the slope is 1/3 so rise or run
ind f(x+h) when f(x) = 3x- 4x^2
Answers
Answer:
f(x + h) = -4x² - 4h² - 8hx + 3x + 3h
General Formulas and Concepts:
Algebra I
Function NotationExpand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x - 4x²
f(x + h) is x = x + h
Step 2: Evaluate
Substitute: f(x + h) = 3(x + h) - 4(x + h)²Expand [FOIL]: f(x + h) = 3(x + h) - 4(x² + 2hx + h²)Distribute: f(x + h) = 3x + 3h - 4x² - 8hx - 4h²Rewrite: f(x + h) = -4x² - 4h² - 8hx + 3x + 3hfind the selling price: original price of a radio: 53.50 discount: 30
Answers
Answer:
48.69
Step-by-step explanation:
Step-by-step explanation:
30% off $53.50
= 70% of $53.50
= $53.50 * (70/100) = $37.45.
Which ordered pair represents the translation of R to S?
Answers
15 POINTS!!!!
Solve the equation.
p over five + 6 = 10
A. 44
B. 30
C. 20
D. –20
Answers
p/5 + 6 = 10
=> p/5 = 10-6
=> p/5 = 4
=> p = 5×4
=> p = 20
C. 20
How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet
Answers
One bag covers 100ft2.
4800ft2/100ft2/bag = 48 bags
write and solve this equation: Samantha is one year less than twice her brother Jack’s age. If the sum of their ages is 41, how old is Samantha?
Answers
Answer:
Samantha's age = 27 years
Step-by-step explanation:
Let Jack's age be = xAs Samantha is one year less than twice her brother Jack’s age.
So Samantha's age = 2x-1As the sum of their ages is 41.
Thus, the equation become
x+2x-1 = 41
3x-1 = 41
3x = 42
Dividing both sides by 3
x = 14
It indicates that Jack's age = 14 years
Therefore,
Samantha's age = 2x-1 = 2(14)-1 = 27 years
Cribe how making a list can help you solve a math problem. Write a problem that could be solved by making a list.
Answers
Answer:
Step-by-step explanation:
All that making a list does is creates a visible step by step instruction manual on what needs to be done in order to solve the math problem that needs to be solved. Lists are extremely helpful and can be used in every single math problem, for example....
15x - 25 = 275
Get rid of -25 by adding 25 on both sidesDivide 15 on both sides to isolate xCelebrate on solving the problemSee making a list isolates the problem into an easy to read instruction manual.
1.
How many different three - scoop bowls of ice cream are there?
There is 24 total flavors to choose from
Answers
Answer:
i think 126 different bowls
correct me if im wrong
A triangle has side lengths of (9.8f-8.4)(9.8f−8.4) centimeters, (2.2f+4.9)(2.2f+4.9) centimeters, and (9.8g+9.2)(9.8g+9.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
12f + 9.8g + 5.7 centimeters
Step-by-step explanation:
Side A = (9.8f-8.4) centimeters
Side B = (2.2f+4.9) centimeters
Side C = (9.8g+9.2) centimeters.
Perimeter of a triangle = Side A + Side B + Side C
= (9.8f-8.4) + (2.2f+4.9) + (9.8g+9.2)
= 9.8f - 8.4 + 2.2f + 4.9 + 9.8g + 9.2
Collect like terms
= 9.8f + 2.2f + 9.8g - 8.4 + 4.9 + 9.2
= 12f + 9.8g + 5.7 centimeters
Therefore, the expression which represents the perimeter of the triangle 12f + 9.8g + 5.7 centimeters
What is the slope of the line that passes through the points
(8,−4) and (6,2)? Write your answer in simplest form.
Answers
Answer: -3
Step-by-step explanation:
(this is just my way):
1. First create an equation: 2-(-4) over 6-8
2. Simplify: 6/-2 => -3
Tada, you already go your slope
Have a nice day :)
A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept.
Which of the following points lie on this same line? Check all that apply.
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)
Answers
Answer & Step-by-step explanation:
First write the line equation.
y=mx+b is the format where m=slope, b= y intercept
y=-2x-3
plug each x in to see if they match the point
y= -2(-2) -3 = -4 - 3 = -7 ; the point is (-2,0) so NO
y= -2(-1.5) -3= 3-3 = 0; point is (-1.5, 0) so YES it matches
y= -2(-6) -3 = 12-3 = 0; point matches so YES
y= -2(2) -3 = -4-3 = -7; point is (2, -3) so NO
y = -2(3) -3 = -6-3= -9; point matches so YES
y= -2(-4)-3 = 8-3 = 5; point is (-4, 4) so NO
(-1.5, 0) & (-6, 9) & (3, -9)
please give thanks by clicking the heart button :)
Answer:
the answers are B C E
Step-by-step explanation:
-1,5, 0
-6, 9
3, -9
