2^4x-2^3x-3
2^3=2x2x2
Which equals 8
Answer:
<em>19</em>
Step-by-step explanation:
has a factor
and
when divided by
, remainder is 20.
To find:Remainder when divided by (x-1) ?
Solution:
is a factor
when we put this value of x to the function, it will become 0.
i.e.

Remainder is 20 when f(x) is divided by 
i.e.


Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

By equation (1):

So, the equation becomes:


So, when divided by (x-1), remainder will be <em>19</em>.
Answer:
The equation of the line is y = (-1/2)x + 5
Step-by-step explanation:

First of all, have to find gradient using the formula above :
(2,4) & (14,-2)
m = (-2-4) / (14-2)
= -6 / 12
= -1/2
Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :
y = mx + b
Let y=4 & x=2
4 = (-1/2)(2) + b
b = 4 + 1
= 5
Lastly, put the value of gradient and y-intercept into the equation :
y = mx + b
Let m=-1/2 & b=5
y = (-1/2)x + 5
Slot method or permutations
top 3
6 for first slot
5 for 2nd slot
4 for 3rd
6*5*4=120
120 possiblites
answer is C
The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4). The coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis <span>Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4). The answer is letter B.</span>