Answer:
A. The value of n can be any positive integer resulting in the same factor
Step-by-step explanation:
Given
--- the right expression
Required
Possible values of n
Expand
Factorize
Factor out
<em>From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible</em>
<em></em>
The above also shows that n can take any positive value.
<em>Hence: (a) is correct</em>
Answer:
Yes the trainer was successful in an attempt for lucky to gain weight.
Step-by-step explanation:
Lucky was a weak and thin body shaped person who came to a gym trainer to gain weight. The trainer started to guide Lucky that he has to go for supplements and heavy weight lifting in order to gain weight. After 3 month's of hard work lucky has finally gained weight from 55 kg to 88 kgs.
Answer:
B. 9
Step-by-step explanation:
So when solving a question like this, you may try to find what 3⁴ is and what 3² is and divide, but there is a much easier way to do this. Remember:
This can be used to find without finding what 3⁴ is. This is how we would do it:
And now we get the solution, 9, which is answer choice B.
I hope you find my answer helpful.
Answer:
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
Step-by-step explanation:
Answer:
Graph A is a function, and Graph B is not
Step-by-step explanation:
A function is when each x-value (aka input) has 1 corresponding y-value (or output).
We see that graph 1 is linear, and that each x-value has it's own y-value, and not multiple y-values.
However, Graph B curves, making it so some of the x-values have more than 1 y-value.