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miv72 [106K]
3 years ago
7

Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

Mathematics
2 answers:
kaheart [24]3 years ago
6 0
Yes, the answer is A.
Shtirlitz [24]3 years ago
6 0

A. Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250.

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The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?
Nookie1986 [14]

The sixth term of an arithmetic sequence is 6

<h3>How to find arithmetic sequence?</h3>

The sum of the first four terms of an arithmetic sequence is 10.

The fifth term is 5.

Therefore,

sum of term = n / 2(2a + (n - 1)d)

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore,

n = 4

10 = 4 / 2 (2a + 3d)

10 = 2(2a + 3d)

10 = 4a + 6d

4a + 6d = 10

a + 4d = 5

4a + 6d = 10

4a + 16d = 20

10d = 10

d = 1

a + 4(1) = 5

a = 1

Therefore,

6th term = a + 5d

6th term = 1 + 5(1)

6th term = 6

learn more on sequence here: brainly.com/question/24128922

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7 0
1 year ago
What is the solution to 89+k=-42
fiasKO [112]
Subtract 89 from -42. k=-131
6 0
3 years ago
Read 2 more answers
Nora can do 70 push ups in 2 minutes. Luke can do 105 push ups in 3 minutes. Do these rates form a proportion? explain
poizon [28]
Yes they do. In order to do this you must make the fraction 70/2 and 105/3. If you divided each one of those you get 35 for both which means it's a proportion.
4 0
3 years ago
A jellyfish travels 3/5 mile in 1/6 hour and a walrus travels 5/6 mile in 3/10 hour.
emmasim [6.3K]

Answer:

The jellyfish travels faster than the walrus

Step-by-step explanation:

Given data

A jellyfish travels 3/5 mile in 1/6 hour

Distance= 3/5 mile

time= 1/6 hour

speed= distance/time

speed= 3/5/1/6

speed= 3/5*6/1

speed= 18 mile per hour

a walrus travels 5/6 mile in 3/10 hour.

Distance= 5/6 mile

time= 3/10 hour.

speed= distance/time

speed= 5/6/3/10

speed= 5/6*10/3

speed= 50/18 mile per hour

3 0
3 years ago
List the 3-membered subsets of the set {1,2,3,4,5,6).
Alexxandr [17]
Look at the attachment. Hope it helps!

8 0
3 years ago
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