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anyanavicka [17]
3 years ago
15

If p − 1 is a factor of p4 + p2 + p − k, the value of k is

Mathematics
2 answers:
amid [387]3 years ago
6 0
Hello,


--------4----3----2----1----0
.........1.....0.....1.....1.....-k
p=1..........1.....1.....2 ....3  
.........1.....1.....2.....3.....0

==>-k+3=0==>k=3

lesantik [10]3 years ago
3 0

Answer:

k = 3.

Step-by-step explanation:

If p-1 is a factor of the polynomial, that is

p^4+p^2+p-k = (p-1)q(p)

with q(p) be another polynomial. Then with p=1 the polynomial is equal to 0. So,

1^4+1^2+1-k = 0

1+1+1-k = 0

3-k = 0

k = 3.

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Please help with this question. Thank you.
podryga [215]

Answer:

t = 4

Step-by-step explanation:

Substitute the variables with the information provided.

205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)

Simplify

205 = 100 + 72 + 5t + 28 + 25 - 40

20 = 5t

t = 4

5 0
3 years ago
Find the slope of the line containing the points (7,5) and (9,5).
svet-max [94.6K]

Answer:

\frac{2}{4}

Step-by-step explanation:

Remember that in order to find the slope of two points you need to substitute the variables and subtract making sure you keep the 2's and the 1's together.

m=\frac{y2-y1}{x2-x1}

Plugin your numbers:

=\frac{7-5}{9-5}

7-5=2

9-5=4

=\frac{2}{4}

Hope this helps.

5 0
3 years ago
Read 2 more answers
Which Shows a translation?
irina1246 [14]

Option B is the correct answer

3 0
4 years ago
Read 2 more answers
#9 was the the one I need help with anyone plz help Thank You:)
pentagon [3]
Your answers are wrong. the function f(x) is like a factory. you put in something ( a number) and it will spit you out something else (a different number depending on the function). your function, f (x)= -2x+1

you can put anything in that function. let say k.
f(x=k) = -2k+1. you just replace the x with k.
in this particular problem they way f(-2) ,f(0), f(1) and f(2).
here are the results
f(x=-2) = f(-2) = -2×(-2)+1 =5
f(x=0) = f(0) = -2×(0)+1 =1
f(x=1) = f(1) = -2×(1)+1 =-1
f(x=2) = f(2) = -2×(2)+1 =-3
3 0
3 years ago
A farmer needs 5 men to clear his farm in 10days.How many men will he need to clear the bush in 2 days.
Serhud [2]

Answer:

13 men's.........

.........

.......

6 0
3 years ago
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