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sergejj [24]
3 years ago
15

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

Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

3

Step-by-step explanation:

Since (p - 1) is a factor then p = 1 is a root and p(1) = 0

p(1) = 1^{4} + 1² + 1 - k = 0, that is

3 - k = 0 ⇒k = 3

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Blake said 4/5+1/3 =5/8 does his answer make sense explain. please help
Tatiana [17]
Hey there!

The answer is no because whenever you add or subtract fractions, you find the common denominator(the bottom of the fraction)

Corret way:
The common denominator is 15 (5*3)
Multiply numerator(top) and the denominator by 3 
4/5*3*3= 12/15
Multiply numerator and the denominator by 5
1/3*5/5= 5/15
So the equation is now
12/15+5/15= 17/15 or 1 2/15

Hope this helps! :)
7 0
3 years ago
There are 1000 ml in a liter how many liters are in 500 ml ??
Helen [10]
There are 0.5 liters in 500 ml.
3 0
3 years ago
Read 2 more answers
PLEASE HELP! I WILL BE SOO THANKFUL!!!! ASAP
Shtirlitz [24]
I don’t know if I’m completely correct but the interior of a pentagon is 540 degrees so add all of them up. Then subtract 540- all of them added up and that should be the answer
5 0
3 years ago
A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa
Aleksandr [31]

Answer:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =60

\sum_{i=1}^n y_i =553

\sum_{i=1}^n x^2_i =582

\sum_{i=1}^n y^2_i =39653

\sum_{i=1}^n x_i y_i =4329

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33

And the slope would be:

m=\frac{642.33}{182}=3.529

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44

And we can find the intercept using this:

b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91

So the line would be given by:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

4 0
3 years ago
say you want to find the rate of simple annual interest for 2 year loan the bank charges $560 interest for the $2,000 loan what
romanna [79]
28% interest would be your answer, you just divide 560/2000=.28
5 0
3 years ago
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