Consider this polynomial, where a is an unknown real number.
Braulio
(a. correctly
b. incorrectly)
found the value of a because he
(a. correctly performed synthetic division
b. should’ve solved the equation a + 14 = -17
c. should have used -1 instead of 1
d. made a mistake in the fourth column of his work )
zahra
(a. incorrectly
b. correctly)
found the value of a because she
(a. incorrectly applied the powers to -1
b. should have substituted 1 instead of -1
c. should have solved the equation a + 18 = -17
d. correctly substituted and evaluated the polynomial)
Answers
Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
-1 -4 (4 - a) (a - 1)
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
Answer: incorrectly, should have used -1 instead of 1
incorrectly, incorrectly applied the powers to -1
Step-by-step explanation:
Related Questions
Your promotional budget for the year is $300 for personal selling, $300 for sales promotion, \$1,500 for advertising, and $500 for image promotion. What is your total promotional budget for this year?
a) $2,000
b) $2,600
c) $3,600
d) $4,600
Answers
Answer:
to get the total promotion budget for the year we will add $300 for personal selling plus $300 for sales promotion plus $1500 for advertising plus $500 for image promotion to the a total of 2600 dollars
The total promotional budget for this year should be considered as the $2,600.
Calculation of the total promotional budget:Since there is $300 for personal selling, $300 for sales promotion, \$1,500 for advertising, and $500 for image promotion.
So,
= $300 + $300 + $1,500 + $500
= $2,600
hence, the correct option is b.
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WHO WANTS BRAINLIEST> MAKE SURE UR ANSWER IS FULLY EXPLAINED. INCLUDE UR WORK
Solve the equations in Parts A and B using inverse operations. Check your solutions. In your final answer, include all of your work.
Part A: 5 + x^2 = 2x^2 + 13
Part B: 5 + x^3 = 2x^3 + 13
Answers
Answer:
x = - 2√2
x = -2
Step-by-step explanation:
A . 5 + x² = 2 x² +13
5 + x² - 2 x² - 13 = 0
- x² -8 = 0
- x² = 8
x² = -8
x = - √8
x = - 2√2
B . 5 + x³ = 2 x³ + 13
5 + x³- 2 x³ - 13 = 0
- x³ -8 = 0
-x³ = 8
x³ = -8
x = - ∛8
x = -2
money that is paid for borrowing someone else's money.
interest
savings
debit
which one i give you 1 min to answer and you will earn 30 points or 70
Answers
Answer:
debit
Step-by-step explanation:
a+2xy=14 solve for y
Answers
Answer:
y= (14-Ax)/(2x)
Step-by-step explanation:
it is 14 I got u don't worry
Can someone help me on this problem please (picture above)
Answers
Answer:
the value of a is 2.
Step-by-step explanation:
3a - 2 + 5a + 3 + 6a + 1 = 30
14a + 2 = 30
14a = 28
a = 2
aluminum, inc. produces cams at a rate of 0.04 per hundredth of a second. how many cans can be produced in a 7-hour day?
Answers
Answer:
Step-by-step explanation:
100800
1008 can s can be produced in a 7 hour day.
What is per thousands of a second ?Just divide 1 second by 1000 which is 0.001 secs.It can also be called as 1 millisecond.
According to the given question aluminium, inc. produces cams at a rate of 0.04 per hundredth of a second. this can be numerically expressed as
0.04 cans produced in 0.01 seconds.
We know 7 hour is = (7×3600) seconds which is = 25200 seconds.
∴ In 7 hours aluminum, inc. can produce (25200 × 0.04) which is
= 1008 cans.
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1... 2(9n-1)+7(n+6)=-60
2... 11(4-6y)+5(13y+1)=9
Answers
Step-by-step explanation:
2(9n-1)+7(n+6)=-60
18n - 9 + 7n + 42 = -60
25n + 33 = -60
25n = -93
n = -3.72
11(4-6y)+5(13y+1)=9
44 - 66y + 65y + 5 = 9
-y + 49 = 9
-y = -40
y = 40
Answer:
Hello! I hope I’m correct!! :)
1. n = -4
2. y = 40
Step-by-step explanation:
Steps for the first equation.
Step #1. {we are solving for “2(9n-1)+7(n+6)=-60”}
[tex]18n-2+7n+42=-60[/tex]
Step #2. Simplify.
[tex]25n+40=-60[/tex]
Step #3. Subtract 40 {from both sides}
[tex]25n=-60-40[/tex]
Step #4. Simplify.
[tex]25n=-100[/tex]
Step #5. Divide both of the sides by 25. Which will be:
[tex]-\frac{100}{25}[/tex]
Step #6. Now divide (simplify) 100 & 25 which will give you the answer.
[tex]n=-4[/tex]
So for the first equation the answer is n = -4______________________________________
Now let’s solve the second equation.
Step #1. Expand
[tex]-y+49=9[/tex]
Step #2. Subtract 49 from both sides.
[tex]-y+49-49=9-49[/tex]
Step #3. Simplify.
[tex]-y=-40[/tex]
Step #4. Divide both sides by -1.
[tex]-40/-1[/tex]
Step #5. Simplify.
[tex]y=40[/tex]
And your answer to the second equation would be y = 40Sorry if this is incorrect but I hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! (≧∇≦)
~By, BrainlyAnime~ <3
Frank believes his bedroom wall measures 12 feet long.
He has a ruler that is 1? feet long.
He uses this ruler to measure his bedroom wall.
Which equation can be used to solve for T,
the number of times he will have to use the ruler to check the length of his bedroom wall?
A. 1? = 12T
B. 1? T = 12
C. 1? + T = 12
D. T – 1? = 12
Answers
Answer:
A
Step-by-step explanation:
Answer:
B. 1? T = 12
Step-by-step explanation:
Since the bedroom measures 12 feet long, the answer or the product should be 12 (12 only)
He uses “1?” to measure the bedroom, and we need to know HOW MUCH TIMES he uses it.
So, 1? T will be the equation since we need to know how much times he uses the ruler.
Complete the solution of the equation. Find the
value of y when x equals -8.
3x + 5y = -59
Answers
Answer:
y = -7
Step-by-step explanation:
To answer this question, we must first plug in -8 for x:
3(-8) + 5y = -59
-24 + 5y = -59
+24 +24
5y = -35
/5 /5
y = -7
Hope this helps :)
im dumb and answered wrong...
the answer above is right ✅
(7n7 − 4n6 − 14) − (2n7 + 15n6+ 11)
Answers
Answer: 5n^2 -19n^2-25
Step-by-step explanation: combine like terms / distribute
45 + r = 113 +38
Solve equation for 10 points
Answers
Answer:
r = 106
Step-by-step explanation:
113 + 38 = 151
151 - 45 = 106
r = 106
Macon Steinberg purchased a motor scooter with an installment loan that has an APR of 16 percent. The motor scooter sells for $1,687. The store financing requires a 20 percent down payment and 30 monthly payments.
What is the down payment?
What is the amount of the loan?
What is the monthly payment?
What is the total amount repaid?
What is the finance charge?
Answers
The finance charge is $285
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Given;
An installment loan that has an APR of 16 percent
The motor scooter sells for $1,687
The store financing requires a 20 percent down payment
Monthly payments are for 30months
Now,
Downpayment= cost of scooter*20%
=1687*20%
=$337.4
Amount of finance = Cost of scooter - Down payment
=1687-337.4=1349.6
Interest rate=16%*1/12=1.3% per month
Monthly payment = Amount of finance*I/[1-(1+I)^-n]
=1349.6*1.3%/[1-(1+1.3%)^-30]
=1349.6*0.013(1-0.6780)
=17.5448/0.322
=54.486
Total amount paying for loan over a period = Monthly payment * Term
=54.486*30=1634.6
Amount of finance charge = Total amount paying for loan - Amount of loan
Amount of finance charge =1634.6-1349.6
=285
Therefore, the finance charge by given percent will be $285
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Question 2
Select all the ratios that are equivalent to 10:6.
A
5:3
B
20:6
С
6:10
D
12:8
Which are equivalent to 10:6
Answers
Answer:
letter a
Step-by-step explanation:
For the past three months, Grace used her cell phone for 43 minutes, 62 minutes, and 57 minutes. How many minutes would she have to use her cell phone this month for the average usage over the four months to be 55 minutes? Be sure to include units in your answer
Answers
Answer:
Step-by-step explanation:
If they want the average for four months to be 55 minutes, this means that the total of the four months = 55 x 4
Total of four months = 220 minutes
They already told us that the three previous months she used her cellphone for 43 minutes, 62 minutes and 57 minutes.
All you have to do now is subtract everything from the total of the four months.
4th month = 220 - 43 - 62 - 57
= ? Minutes
Cho had $2.85 in nickels and $3.40 in dimes. Then she gave an equal number of her nickels and dimes to her brother. Now Cho has the same amount of money in nickels as in dimes.
The equation 285−5x=340−10x represents the situation.
Which does the variable x represent?
Will Give Brainliest
Answers
285-5x-(340-10x)=0
-5x-(-10x+340)+285=0
-5x+10x-340+285=0
5x-55=0
5x=55
x=55/5
x=11
Answer:
x = 11Step-by-step explanation:
The equation represents as:
285 − 5x = 340 − 10x
combine similar terms:
285 - 340 = 5x - 10x
simplify:
-55 = -5x
divide -5 on both sides:
x = 11
Here's the expression:
2 - ( 4 x 2 +2 ) + 3 x 5 =
A. 14
B. 15
C. 16
D. 17
Answers
Answer: i got 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
12 - ( 4 x 2 +2 ) + 3 x 5 =17
Solve for x^2+x=5 for the exact values of x.
Answers
the opposite side of a parallelogram are 2x,+10 and 5x-20 find the length of the side of the parallelogram represented by 4x-1
Answers
Answer:
39
Step-by-step explanation:
5x-20=2x+10 (opposite sides of parallelogram are equal)
5x-2x=10+20
3x=30
x=30/3
x=10
Now putting the value of x in 4x-1, we get
(4×10)-1
= 40-1
= 39
Which shows the number subsets to which the number
- v144 belongs?
Answers
Answer: 3
Step-by-step explanation:
I'm smart
4 (b - 3 ) = 6 steps in order from first to last
Answers
Answer:
B= 9/2 Hope this helped <3
Step-by-step explanation:
Let's solve your equation step-by-step.
4(b−3)=6
Step 1: Simplify both sides of the equation.
4(b−3)=6
(4)(b)+(4)(−3)=6(Distribute)
4b+−12=6
4b−12=6
Step 2: Add 12 to both sides.
4b−12+12=6+12
4b=18
Step 3: Divide both sides by 4
Answer:
Happy meals are a scam
Step-by-step explanation:
THEY ARE SCAM
Solve the equation using Inverse operatlons.
2 + x^3=18
Answers
3
[tex]3y^{2} + 8y + 2 = 0[/tex]
Answers
[tex]a {y}^{2} + by + c = 0 [/tex]
[tex]3 {y}^{2} + 8y + 2 = 0 [/tex]
[tex]a = 3[/tex]
[tex]b = 8[/tex]
[tex]c = 2[/tex]
_________________________________
[tex]∆ = {b}^{2} - 4ac [/tex]
[tex]∆ = ({8})^{2} - 4 \times (3) \times (2) [/tex]
[tex]∆ = 64 - 24[/tex]
[tex]∆ = 40[/tex]
_________________________________
[tex]y = \frac{ -b ± \sqrt{∆} }{2a} \\ [/tex]
##############################
[tex]y(1) = \frac{ - 8 + \sqrt{40} }{6} \\ [/tex]
[tex]y(1) = \frac{ - 8 + \sqrt{4 \times 10} }{6} \\ [/tex]
[tex]y(1) = \frac{ - 8 + 2 \sqrt{10} }{6} \\ [/tex]
[tex]y(1) = \frac{2( - 4 + \sqrt{10}) }{2 \times 3} \\ [/tex]
[tex]y(1) = \frac{ - 4 + \sqrt{10} }{3} \\ [/tex]
+++++++++++++++++++++++++++++++++++++++
[tex]y(2) = \frac{ - 8 - \sqrt{40} }{6} \\ [/tex]
[tex]y(2) = \frac{ - 8 - \sqrt{4 \times 10} }{6} \\ [/tex]
[tex]y(2) = \frac{ - 8 - 2 \sqrt{10} }{6} \\ [/tex]
[tex]y(2) = \frac{2( - 4 - \sqrt{10}) }{2 \times 3} \\ [/tex]
[tex]y(2) = \frac{ - 4 - \sqrt{10} }{3} \\ [/tex]
##############################
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Item 3
Find (12y−1)+(−10y+7).
Answers
Answer:
2y+6
Step-by-step explanation:
whats 9+10
word to my mutha
Answers
Answer:
21 is the correct answer
Brady bought 3 pieces of chicken that cost x dollars each, a salad for $3 and a drink for $2. If he spent $ 14, how much was each piece of chicken?
Answers
Answer:9$
Step-by-step explanation:14-3+2=9
PLEASE HELP 40 POINTS
What is the relationship between ∠1 and ∠2? On both of them.
both a linear pair and supplementary
vertical
complementary
linear pair
supplementary
congruent
both vertical and congruent
Answers
Answer:
supplementaryverticalStep-by-step explanation:
Angles ∠1 and ∠2 are
Picture 1
Angles 1 and 2 are supplementaryPicture 2
Angles 1 and 2 are verticalBRAINLIEST ANSWER! please help
Answers
Jude graphed the inequality s
Is his graph correct? Explain why or why not.
Answers
Answer:
Sample Response: No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.
Step-by-step explanation:
sample response on edge 2020
Answer:
The < symbol means that -9 is not included in the solution. The graph should have an open circle, not a closed circle. The arrow is pointing in the correct direction.
Step-by-step explanation:
edge 2021
Five less than twice a number is greater than ten times a number.
Please help I have no clue what I'm looking at.
Answers
Answer:
5-2x>10x
Step-by-step explanation:
Answer:
bruh just reading this question hurts my head
i guess you could say the first number is 8 and the second number is 1, but jeez bro
Step-by-step explanation:
pls help? I need to know the answer asap