Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
What mistake did Lorie make?
A. She added an extra term to the dividend.
B. She combined the constants incorrectly in the last step.
C. The second term in the quotient should be 7.
D. The last term in the quotient has an incorrect denominator.
Answers
Answer:
Option (B)
Step-by-step explanation:
x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5
- (x³ + x² - x)
5x² + x + 5
-(5x² + 5x - 5)
-4x + 10
Result : [tex]x+5+\frac{-4x+10}{(x^{2}+x-1)}[/tex]
By the comparing the result with the Lorie's solution,
She made a mistake in the last step in which she combined the constant incorrectly.
Therefore, Option (B) will be the answer.
Related Questions
What is:
6t-2/4 + 4 (t+1) when t=5
Answers
Answer:
2 /20t+7
Step-by-step explanation:
=> 39.5
A shoe company distributed 4,528 boxes of shoes equally among 4 different stores. How many boxes of shoes did each store receive?
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Answer:
1,132
Step-by-step explanation:
4,528÷4=1,132ooooo
mass and weight math
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Answer: There is 10,000 ug in 1 cg
What is |5 x -3|?
-15
⊝
-8
⊝
15
⊝
8
Answers
Answer:
Step-by-step explanation:
Gfggg
if m<2 = 115 degrees what is m<1 ? (There you go)
Answers
Answer:
65
Step-by-step explanation:
180 - 115 = 65
This is the easiest way to think about and do it but your teacher might want you to do it a different way.
Answer:
65
Step-by-step explanation:
which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST
Answers
Answer:
I believe it is 1 and 3 only. (I & III only)
Step-by-step explanation:
5(-1) = -5
-5 - 10 is less than -5, so I is true.
5(9) = 45
45-10 is not less than -5, so II is false.
5(1) =5
5-10 is equal to -5, so III is true.
Answer:
I. and III.
Step-by-step explanation:
5x - 10 ≤ -5
I. -1
5(-1) - 10 ≤ -5
-5 - 10 ≤ -5
-15 ≤ -5
-15 is less or equal to -5, thus I. is an option
II. 9
5(9) - 10 ≤ -5
45 - 10 ≤ -5
35 ≤ -5
35 is not less or equal to -5, thus II. is not an option
III. 1
5(1) - 10 ≤ -5
5 - 10 ≤ -5
-5 ≤ -5
-5 is less or equal to -5, thus III. is an option
you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?
Answers
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Which point is located at (-1,3)?
Answers
Answer:
C
Step-by-step explanation:
1 back, 3 up.
Therefore the answer is Point C.
X is -1 and Y is 3
Please give brainliest
What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?
4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6
Answers
Answer:
the answer is 1/6
i got it right edg 2020
Step-by-step explanation:
dont come at me because we had the same answer
Answer: 1/6
Step-by-step explanation:
(2a²b) (6ab) =
Exponents
Answers
Answer:
The answer is (2a²b)(6ab)=12a³b².
I don’t understand this
Answers
Answer:
9 to the 5th power
Step-by-
Answer:
n=5 I think...
Step-by-step explanation:
9^7/9^n = 9^2
Multiply by (n)
9^7-n = 9^2
7-n=2
7-n=2: n=5
-n=-5
Simplify:
n=5
Always, Sometimes, or Never?
5x>0
Answers
Answer:
Sometimes
Step-by-step explanation:
PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
its the last one
Which table has a constant of proportionality between y and x of 0.3
Answers
when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.
heather has red and green pens in her stationery cupboard. the ratio of green pens to the total number of pens is 4:11
what fraction of heathers pens are green
what is the ratio of green pens to red pens
heather has 56 red pens. how many green pens does she have
Answers
Step-by-step explanation:
Pen colors given = Red and green
Ratio;
Green pen : Total pen
4 : 11
Solution:
1. what fraction of heathers pens are green;
Fraction = [tex]\frac{green pen}{total pen}[/tex] = [tex]\frac{4}{11}[/tex]
2. Ratio of green pens to red pens:
let the multiples = x
Green pen Red pen Total pen
4x ? 11x
Red pen = 11x - 4x = 7x
Ratio of green pen to red pen:
4 : 7
3. heather has 56 red pens. how many green pens does she have
Number of red pen = 56;
Number of green pens = ?
Since the ratio is;
4 : 7
Number of green pen = [tex]\frac{56 x 4}{7}[/tex] = 32
¿Cuál es la desigualdad de 3 x - 4> 4-4-3 x
Answers
3x-4>-3
suma 4 a ambos lados:
3x>1
dividir 3 en ambos lados:
x>1/3
Can you simplify -6/0 ?
Answers
Answer:
It can also be termed as "undefined".
Step-by-step explanation:
Hope that this post has helped you out in some way! :)
To win a trivia game you must score 90 points each correct answer is worth 1 3/4 points, each incorrect point is worth -1/4 points if he gets 58 questions correct and 22 questions incorrect, what is his score?
Answers
Complete the ordered pair for both equation. Will give brainiest
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So if you know that order pairs go like (x,y) that means that the 12 in (12,y) is the x so if we plug into the equation we can get y...
[tex]y=\frac{2}{3} (12)+ 5\\y=8+5\\y=13[/tex]
So the order pair is (12, 13).
Now for the next one it's the same concept but this time we'll plug in for y because the -2 is in the (x, y) so we have to find the x...
[tex]5x-9(-2)=3\\5x+18=3\\5x=-15\\x=-3[/tex]
So the order pair is (-3, -2).
What line is perpendicular to y=2/7x+11/7 travel through (-3,8)
Answers
Answer:
2y- 16 = 7x + 21
Step-by-step explanation:
Y= mX+ c
y = (2/7)x + 11/7
m= gradient= 2/7
The perpendicular gradient should be the negative reciprocal of the gradient we have now.
which is : -1÷(2/7) = -7/2
Now for the perpendicular line equation, we have:
y = 8x= -3m= 7/2y - y1 = m ( x - x1 )
y - 8 = 7/2 ( x + 3 )
2y - 16 = 7x + 21
10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?
Answers
Answer:
20
Step-by-step explanation:
20 - 3
Sarah is 3 years older so 23 is going to be subtracted.
Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".
Answers
Answer:
Dont ask me
Step-by-step explanation:
Okay!!!!!
In order to find this answer use the equation m=y2-y1/x2-x1 to plug in the value of the points and subtract. Then , if you plug it in correctly, you would get -7/7 which simplifies to -1.
Hope this helped:)
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4.
Answers
Answer:
4(2x-3)
Step-by-step explanation:
Answer:
4 x (2x-3)
I hope it helps
Pls mark as Brainliest
5) Kareem Abdul-Jabbar holds the NBA record for the most points scored in a
career, 38,387. In the first 280games of his career, LeBron James has scored 7446
points. At this rate, how many more games willLeBron James need to play to
break Abdul-Jabbar's career record?
Answers
Answer:
Step-by-step explanation:
LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.
What is rate of change?A rate of change is a rate that describes how one quantity changes in relation to other.
Given world record Kareem Abdul-Jabbar = 38,387 points.
Games played by LeBron = 280 games
Score of LeBron = 7446 points
Hence for each point LeBron has to play = 280/7446 games
Therefore to break the world record number of games required
= (280*38,387)/7446
number of games required = 1443.5
or, number of games required = 1444
Hence,at this rate LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.
More about Rate of change :
https://brainly.com/question/13715523
#SPJ2
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
O y=*+3
O y=-*x+3
Answers
Answer: y= -2x + 3
Step-by-step explanation:
a) cual es la resistencia equivalente de todo el circuito
B) cual es la corriente I de la bateria
Answers
A study was being conducted about birth weights of babies at a local hospital and found the average to be 7.6 pounds with a standard deviation of 1.3 pounds (the distribution was approximately normal). Many pre-mature births weights are in the lowest 1% of births. What would be the birth weight associated with the lowest 1%?
Answers
Answer:
The birth weight associated with the lowest 1% is 4.6 pounds.
Step-by-step explanation:
Let X represent the birth weights of babies.
It is provided that [tex]X\sim N(7.6,1.3^{2})[/tex]
It is also provided that many pre-mature births weights are in the lowest 1% of births.
Let x represent the births weights that are in the lowest 1% of births.
That is, P (X < x) = 0.01.
⇒ P (Z < z) = 0.01
The corresponding z-score is, z = -2.33.
Compute the value of x as follows:
[tex]z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6[/tex]
Thus, the birth weight associated with the lowest 1% is 4.6 pounds.
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions
Answers
Answer:
First one: y-intercept = 1
ordered pair: (0,1)
Second one: y-intercept = -1
ordered pair: (0,-1)
Third one: y-intercept = 4
ordered pair: (0,4)
Answer:
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
Step-by-step explanation:
The y-intercept is the line crossing the y-axis
(0, number here that cross y-axis)
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
PlSSSSSS HELP multiple choice
Answers
PLEASE HELP ME What is the amount of rain fall for the 1M 6 months of the year in Kennedale Texas
Arlington Texas Rainfall Amounts
Month
January
February
March
April
May
June
Rainfall Amount
+0.5 inches
-1.26 inches
+0.32 inches
+3.71 inches
- 1.27 inches
-2.40 Inches
A 2 inches
B. -0.4 inches
C 0.8 inches
D. -1.3 inches
Loo
Answers
Answer:
.5
Step-by-step explanation: