Hello,
As h(x) is a bijection,
range(h(x))=dom(h^(-1)(x))={0,1,2,3}
Answer C
Step-by-step explanation:
if the 2 matrices are inverse, then their product must be the identity matrix
1 0
0 1
so,
m×3 + 2×-7 = 1
7×3 + 3×-7 = 0
m×-2 + 2×m = 0
7×-2 + 3×m = 1
that means we have to solve only
3m - 14 = 1
3m = 15
m = 5
Answer:
(S+7)/4 = T
Step-by-step explanation:
S=4T-7
We want to solve to T
Add 7 to each side
S+7=4T-7+7
S+7 = 4T
Divide each side by 4
(S+7)/4 = 4T/4
(S+7)/4 = T
Answer:
C
Step-by-step explanation:
y=mx+b
m(slope)=rise/run=1
b(y intercept)=2
y=x+2
<span><u><em>Answer:</em></u>
(-2,5)
<u><em>Explanation:</em></u>
<u>We are given the following translation rule:</u>
(x,y) .............> (x-3 , y+4)
<u>This means that:</u>
new x coordinate can be found by subtracting 3 from the old x coordinate
new y coordinate can be found by adding 4 to the old y coordinate
<u>From the figure,</u> we can note that the coordinates of point A are (1,1).
Applying the above translation rule, we can get the coordinates of A' as follows:
x coordinate of A' = x coordinate of A - 3
x coordinate of A' = 1 - 3 = -2
y coordinate of A' = y coordinate of A + 4
y coordinate of A' = 1 + 4 = 5
Based on the above, the coordinates of A' would be (-2,5)
Hope this helps :)</span>
