Answers
Answer:
The error is -12x² - 14x = - 26x² because 12x² and 14x are unlike terms, so we can not add them
To prevent it the dividend must be written as 6x³ + 0x² - 14x + 1
Step-by-step explanation:
In the division, you must arrange the dividend according to the greatest power of the variable, and put 0 as a coefficient of the missing term to avoid adding, unlike terms.
Example:
If the dividend is 3x³ - 2x + 5, then you must write it as 3x³ + 0x² - 2x + 5
Let us solve our question
∵ The dividend is 6x³ + 1 - 14x
→ You must arrange it from the greatest power of x
∴ The dividend is 6x³ - 14x + 1
∵ The term of x² is missing
→ Write it in the dividend with a coefficient of 0
∴ The dividend is 6x³ + 0x² - 14x + 1
The error is the adding of unlike terms
∵ 6x³ - 14x + 1 ÷ 3x + 6 = 2x² and [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)]
∵ [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)] = 6x³ - 14x + 1 - 6x³ - 12x²
∵ 6x³ - 14x + 1 - 6x³ - 12x² = 0 - 12x² - 14x + 1
∵ 0 - 12x² - 14x + 1 = -26x² + 1 ⇒ error
∴ The error is -12x² - 14x = - 26x² because 12x² and 14x are unlike terms,
so we can not add them
→ To prevent it, write 0 as a coefficient of the missing term
∵ The missing term is the term of x²
∴ Add to the dividend the term 0x²
∴ The dividend must be written as 6x³ + 0x² - 14x + 1
Answer:
-14x and 12x² are not like terms, so they can’t be subtracted.
To prevent this error, be sure to line up like terms
Step-by-step explanation:
just did it
Related Questions
product and quotient rule ,differentiate each function with respect to x, in calculus
y = (-4x^5+4) * 5x^⁵
Answers
Answer:
[tex]\displaystyle y' = -100x^4(2x^5 - 1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = (-4x^5 + 4)5x^5[/tex]
Step 2: Differentiate
Product Rule: [tex]\displaystyle y' = \frac{d}{dx}[(-4x^5 + 4)]5x^5 + (-4x^5 + 4)\frac{d}{dx}[5x^5][/tex]Basic Power Rule [Derivative Property - Addition/Subtraction]: [tex]\displaystyle y' = (5 \cdot -4x^{5 - 1} + 0)5x^5 + (-4x^5 + 4)(5 \cdot 5x^{5 - 1})[/tex]Simplify: [tex]\displaystyle y' = (-20x^4)5x^5 + (-4x^5 + 4)(25x^4)[/tex]Factor: [tex]\displaystyle y' = 5x^4 \bigg[ (-20x^4)x + (-4x^5 + 4)5 \bigg][/tex][Distributive Property] Distributive parenthesis: [tex]\displaystyle y' = 5x^4 \bigg[ -20x^5 - 20x^5 + 20 \bigg][/tex]Combine like terms: [tex]\displaystyle y' = 5x^4(-40x^5 + 20)[/tex]Factor: [tex]\displaystyle y' = -100x^4(2x^5 - 1)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
The scale use for a model of kitchen is 1/4 in = 1/2 ft In the model, the kitchen measures 2 1/2 by 2 3 in. What are actual dimensions of the kitchen
A 41ft by 6 ft
B 15ft by 6 ft
C 15ft by 18 ft
D 7.5 ft by 18 ft
Explanation is required
Answers
VOTING In a recent school election, 208
of the 325 freshmen voted in their
class election. Write the fraction of
freshmen who voted. Then write the
fraction as a decimal.
Answers
Answer:
208/325
0.64
Step-by-step explanation:
Write the fraction as the number that voted on top of the number of total freshmen
For the decimal, divide 208 by 325. (This also gives you the decimal)
How do you factor 5x+10y+30z
Answers
Answer:
5(x+2y+6z)
Step-by-step explanation:
Answer:
5(x+2y+6z)
Step-by-step explanation:
Factor out 5 from the expression
Rachel shared 50 peanuts equally among his 4 sisters. How many peanuts did Rachel have left after he gave his sisters their share?
Answers
Your answer is 10 peanuts.
Answer:
This the best I got. Hope it helps! ( found a faster way to backspace when ur typing lol) (ctrl+backspace)
Step-by-step explanation:
50 divided by 4
50/4
= 13.
help, I've been stuck on this and I need help asap
Answers
Someone help
What is 3.5=12s-55
Answers
Answer:
4.875 = s
Step-by-step explanation:
3.5=12s-55
Add 55 to each side
3.5+55=12s-55+55
58.5 = 12s
Divide each side by 12
58.5/12 = 12s/12
4.875 = s
Answer:
s = 4.875
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3.5 = 12s - 55
Step 2: Solve for s
Add 55 to both sides: 58.5 = 12sDivide 12 on both sides: 4.875 = sRewrite: s = 4.875Step 3: Check
Plug in s into the original equation to verify it's a solution.
Substitute in s: 3.5 = 12(4.875) - 55Multiply: 3.5 = 58.5 - 55Subtract: 3.5 = 3.5Here we see that 3.5 does indeed equal 3.5.
∴ s = 4.875 is a solution of the equation.
Calvin Butterball earns $400 working at the supermarket to help pay his share of a vacation trip with Phoebe Small's family. To supplement his earnings, Calvin's mother will give him an additional 20% of what he earns and his father will give him an additional 30% of what he earns. a. How much will he get from each parent?
Answers
Answer:
Mother = $80
Father = $120
Step-by-step explanation:
Given that :
Earning = $400
Amount gotten from mother = 20% of earning
Amount gotten from father = 30% of earning
Amount gotten from each parent :
MOTHER :
0.2 * $400 = $80
FATHER :
0.3 * $400 = $120
Find the slope of the line through the points (13, 15) and (13, 19). Then find the slope of the line parallel and the line perpendicular.
Answers
We must find the slope of the original line using slope formula*.
[tex]m = \frac{19 - 15}{13 - 13} = \frac{5}{0} = 0[/tex]
Because the given points have the same x-coordinate, the slope is 0.
Given that the original line doesn't have slope, the other two lines won't have one either.
A line passes through the point (8,4) and is parallel to 9x + 3y=12 . What is the equation of the line?
Answers
To find the slope of the original line and use the point slope formula y-y^1 =m(x-x^1) to find the parallel to 9x +3y=12
2 after a long morning of sledding, Mrs.Fieldhouse made a batch of hot cocoa for her daughter and neighborhood friends. She divided it among 8 mugs. Each mug has more than 9 fluid ounces of hot cocoa. Write an inequality to describe the situation
Answers
Answer:
[tex]\frac{x}{8}>9[/tex]
Step-by-step explanation:
step one:
given
we can say that the total amount of cocoa made by Mrs.Fieldhouse is
x ounces
Step two:
Since the total batch which is x ounces was divided into 8 mugs
then the expression is x/8
The inequality for the situation is
[tex]\frac{x}{8}>9[/tex]
[tex]6 \div 3 + {9}^{2} - 4[/tex]
evaluate the following expression
Answers
Gregory has 52 angelfish and 24 cichlid fish in his aquarium. Unfortunately, many of his fish got a sickness called "ick". 1/4 of the angelfish became sick 1/3
of the cichlid fish became sick
How many fish from Gregory's aquarium became sick?
Answers
Answer:
21 fish
Step-by-step explanation:
52/4=13
24/3=8
13+8=21
What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n? (1 point)
n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3
Answers
it would be n = 1/2
Answer:
n = 1/2
Step-by-step explanation:
Brainliest?!
(−0.25x + 6) + (7.5x + 6.4)
Answers
Answer:
(−0.25x + 6) + (7.5x + 6.4)= (7.25x+12.4)=19.65
Step-by-step explanation:
19.65 is the answer
If you need the simplified equation it is the following;
7.25x + 12.4
how does
h(x)=-(x-3)^2+4
compare to the graph
g(x)=x^2
Answers
URGENT!! I have 12 minutes left!!
Question: Which words have horizontal reflection symmetry? Select all that apply.
A. MOM
B. BOB
C. BIB
D. TOOT
Answers
Answer:
c
Step-by-step explanation:
Answer:
MOM
TOOT
Step-by-step explanation:
An individual is baking 3 batches of cookies. They used 2.6 oz. of vanilla in one batch of the cookies, 1.4 oz. of vanilla in the second batch and .5 oz. in the third batch. Please convert these decimals into fractions and then put them in ascending order.
Answers
Answer:
2 3/5, 1 2/5, 1/2
Step-by-step explanation:
batch 1 2.6= 2 3/5
batch 2 1.4= 1 2/5
batch 3 0.5= 1/2
On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?
Answers
Answer:
66
Step-by-step explanation:
Answer:
2 games were bowled per day
Step-by-step explanation:
Saturday: Shoes: $3 : Game: $4.50
Sunday: Shoes: $6 : Game $3
Saturday: total for 1 game: $7.50 .... 2 games: 12
Sunday: total for 1 game: 9 .... 2 games 12
Both days you bowled two games
What is the answer to y=-2/3x0+1
Answers
Answer:
1 is the answer to this question
Solve for p 6p-8n=12
Answers
Answer:
i need more information
Step-by-step explanation:
2x + 7 + 5x = 7 ( x + 8) how many solutions?
Answers
Answer:
no solution
Step-by-step explanation:
What’s the temperature after t minutes plssss helppp
Answers
Answer:
what does T equal
Step-by-step explanation:
What's on your Christmas List? Santas Listening~
Answers
Answer:
1. My gf with me ;)
2. Ps5
Step-by-step explanation:
THERE :)
Answer:
VR Headset
Neon Nail Polish
New Blankie
Money for a laptop (I almost have enough!)
Step-by-step explanation:
Bc y not
Here is parallelogram ABCD:
Prove segment is AM congruent to segment CM.
Plz help me it’s due today
Answers
The proof of AM being congruent to CM is as follows:
Given that,
ABCD is the ║gm
Diagonals AC and BD with M as the intersection point.
To prove:
AM ≅ CM
Proof:
In ΔAMD and ΔBMC,
∠M = ∠M (∵ Common)
AD = BC (∵ opposite sides of ║gm are equal)
∠ADM = ∠CBM (∵ Alternate angle)
∵ ΔAMD ≅ ΔBMC
Thus, AM ≅ CM (using AAS property).
Learn more about 'Parallelogram' here:
brainly.com/question/1563728
Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel, how many buses does the transit system have?
Answers
9514 1404 393
Answer:
2214 buses
Step-by-step explanation:
Diesel buses constitute 1/3 of the total, so the total number of buses is 3 times the number of diesel buses.
total = 3·738 = 2214
The transit system has 2214 buses.
a $260 suit price is marked down 10 % find the sale price
Answers
Answer:
260*0.90=sales price=234
Step-by-step explanation:
Step-by-step explanation: We first need to find the discount.
The formula for discount is shown below.
Original Price × Rate of Discount = Discount
So here, the original price is $260 and the
rate of discount is 10% off which we can write as .10.
So we multiply 260 by .20
260 x .10 gives us 26.
So the discount is $26.
Now let's find the sale price.
The formula for sale price is shown below.
Original Price - Discount = Sale Price
Since the original price is $260 ad the discount is $26,
we have 260 - 26 which gives us 234.
So the sale price of the suit is $234.
PLEASE HELP MEE !!
Marcus made $500 working a 40 hour shift last week. He also runs a side business selling t-shirts for $12 each. How much money will Marcus have earned if he saves the $500 from last week, works another shift of 30 hours this week, and sells 22 t-shirts online?
Marcus will have a total of ____ dollars saved.
Answers
Answer:
764
Step-by-step explanation:
12x22=264+500=764
hope this helps
Can anyone help with this question? Ty
Answers
Answer:
c
Step-by-step explanation:
a required question
A is the midpoint of BC. C is the midpoint of AD. E is the midpoint of CD. If CE =
3ft, how long is BD?
Answers
Answer:
18ft
Step-by-step explanation:
AC = CD = BA
CD = 2CE
BD = BA + AC + CD = 2CE + 2CE + 2CE
= 6CE
CE = 3
6 × 3 = 18