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frez [133]
3 years ago
11

Given f(x)=x^3+2x+k. and x+1 is a factor of f(x), then what is the value of k?

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

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Arisa [49]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Given the equations x + y = 20 and x - y = 8, which values of x and y
hammer [34]

Answer:

x = 14 and y = 6

Step-by-step explanation:

To find the solution to this problem, we plug in the values of x and y from each answer choice and simplify.

1.

  • (11) + (9) = 20. 20 = 20.
  • (11) - (9) = 20. 2 ≠ 8.

2.

  • (9) + (11) = 20. 20 = 20
  • (9) - (11) = 20. -2 ≠ 8.

3.

  • (14) + (6) = 20. 20 = 20.
  • (14) - (6) = 8. 8 = 8.

4.

  • (6) + (14) = 20. 20 = 20
  • (6) - (14) = 8. -8 ≠ 8.

Therefore, the correct answer is x = 14 and y = 6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
2 years ago
Katrina goes to Road Runner after school and purchases a soda for 1.50, chips for 3.50 and a candy bat for 0.50 An additional 8%
Nutka1998 [239]

<u>Answer:</u>

Sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.

<u> Solution:</u>

Given that Katrina goes to road runner after school and purchase following three products

A soda for 1.50  

Chips for 3.50

Candy for 0.50

Also she pays 8% sales tax.

Need to determine amount paid in sales tax and total amount paid by Katrina.

lets first calculate amount she paid without taxes.  

Total paid amount without taxes = 1.50 + 3.50 + 0.50 = 5.50

As she paid 8% sale tax , that is 8 % of 5.50

so sale tax paid = \frac{8}{100} \times 5.50 = 0.44

<em>Total amount paid = Total amount paid without taxes + tax paid </em>

= 5.50 + 0.44 = 5.94

Hence sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.  

7 0
3 years ago
If both slopes are undefined are they parallel?
SCORPION-xisa [38]

Answer:

If the slopes of the lines are both zero, the lines are horizontal and are parallel by definition. Since the slopes of vertical lines are undefined and not considered equal, vertical lines will not be considered.

I hope this helps you :)

8 0
3 years ago
I need help with this problem if anyone wants to help me please do
natima [27]

Answer:

11

Step-by-step explanation:

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7 0
2 years ago
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