1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lera25 [3.4K]
3 years ago
6

what must be subtracted from 4x4 - 2x3 - 6x2 + x - 5 so that the answer is exactly divisible by x + x - 2

Mathematics
1 answer:
natta225 [31]3 years ago
8 0

<span>To solve this problem, what we have to do is to divide the whole equation 4 x^4 – 2 x^3 – 6 x^2 + x – 5 with the equation 2 x^2 + x – 1. Whatever remainder we get must be the value that we have to subtract from the main equation 4 x^4 – 2 x^3 – 6 x^2 + x – 5 for it to be exactly divisible by 2 x^2 + x – 1.</span>

By using any method, I used long division we get a remainder of -6.

Therefore we have to subtract -6 from the main equation which results in:

<span>4 x^4 – 2 x^3 – 6 x^2 + x – 5 – (-6) = 4 x^4 – 2 x^3 – 6 x^2 + x + 1</span>

You might be interested in
HELP ASAP
Oliga [24]

Answer:

27.5cm^2

Step-by-step explanation:

you can cut the triangle to make two right triangles

so 11 is the height and the width is 2.5 since your cutting the triangle in half

so 11x2.5=27.5 since its a right triangle you have to divide by two 27.5/2=13.75

that's the answer for one of the triangles now multiply it by two since you need the two right triangle to make the other triangle so the answer is 27.5

5 0
3 years ago
If R is the midpoint of TS, TR = 5x - 12, and RS = 3x + 8, find TS.
GenaCL600 [577]

Answer:

5x -12 = 3x +8 (set the two = each other because they are the same length)

2x- 12= 8 (subtract 3x from both sides)

2x = 20 (add 12 to both sides)

x=10 (what x= for both expressions)

5(10) -12 (plug it into the first one to see what the length is and to see they're =

50 - 12 ( I already multiplied, now subtract)

38 (what the length of TR is)

3(10) +8 (plug it in again but into the other expression)

30+8 (multiply and add)

38 (the two have the same answer, so the x-value is correct.)

38+38= 76 (add the lengths of RS and TR and you get the length of TS)

Step-by-step explanation:

I hope this helps :)

6 0
2 years ago
Read 2 more answers
Find the values of the six trigonometric functions of 0
Leni [432]

Step-by-step explanation:

sin theta = 12/13

cos theta = 5/13

tan theta = 12/5

cosec theta = 13/12

sec theta = 13/5

cot theta = 5/12

8 0
3 years ago
Find the measure of angle x in the figure below: A.) 35° B.) 48° C.) 69° D.) 78°
prisoha [69]

Answer:

x = 48

Step-by-step explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

x =48

3 0
3 years ago
Read 2 more answers
Consider a 7.5%, $145,000, 25-year mortgage loan with 1/2% origination fee, 3/4 of a point, $550 mortgage insurance fee, $360 do
salantis [7]
A) The payment on the loan will be 1071.54, so after 300 payments, you will have repaid $321,462.00

b) Fees deducted from the loan amount for reporting purposes are
• 1/2% origination fee ($725)
• 3/4 point ($1087.50)
• $550 mortgage insurance fee
for a total of $2362.50.
Thus the proceeds of the loan are $142,637.50 and the reportable APR is the interest rate corresponding to the above payment on this amount.
  Reportable APR: about 7.688%

c) The "real" APR would include the effect of the additional fees on the loan proceeds. The escrow amount is not a loan cost, so is not included. These additional fees reduce the proceeds by
  $360 +395 +663 +125 +75 = $1618
so the "real APR" is calculated on proceeds of $141,019.50.
  Real APR: about 7.819%

d) Payments on a 10-year loan of $145,000 are $1721.18 per month. That payment amount on proceeds of $141,019.50 correspond to an interest rate of ...
  Real APR with early payoff: about 8.137%

There are various ways the payoff can be early. This calculation assumes you decide from the start to make payments in the amount that will result in early payoff. You could also pay a "balloon" payment after 10 years. I have not seen a description of how this calculation is made. I've only seen wording that says the "real APR is different if the payoff is early."

____
Several caveats:
• the methods described in your text are the ones you should use for this
• the different value of the final payment has not been figured in any of these calculations
• Here, the fees are deducted from the nominal loan amount. In real life, you will often add the fees to the loan amount so the proceeds are the amount necessary to close the sale on the property. (In other words, you'd make the loan for 148,980.50 so the proceeds were 145,000.)

7 0
3 years ago
Other questions:
  • Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
    9·1 answer
  • Which is not an equation of the line going through (3, -6) and (1,2)
    14·1 answer
  • The ice rink sold 95 tickets for the afternoon skating session for a total of $828. General admission tickets cost $29 each and
    6·1 answer
  • Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.
    11·1 answer
  • Worth 10pts can someone help?
    11·1 answer
  • Jade buys a blouse and a skirt for 34 of their original price. She pays a total of $31.50 for the two items. If the original pri
    13·1 answer
  • 6<br> Factor the expression.<br> 4z- 28
    11·1 answer
  • Who likes Moriah Elizabeth???<br> ALSO PLS HELP ME WITH THIS MATH QUESTION!!!!!!!!!
    15·2 answers
  • 1,2,3 or 4?<br><br> Look at the picture. <br> Thank u!
    7·1 answer
  • What is the product of 2/3 and 3 2/5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!