Answer:
s = -7.8
Step-by-step explanation:
from the question 12=10(s+4)+50
<u>first step</u>
open the bracket and evaluate for the value of s
12=10(s+4)+50
12 = 10s + 40 + 50
12 = 10s + 90
collect or combine the like terms
12-90 = 10s
-78 = 10s
divide both side by 10
-78/10 = 10s/10
-7.8 = s
therefor s = -7.8
Answer:
a)z1 +z2 =z2 + z1 ...proved.
b) z1 + ( z2+ z3 )=(z1+z2)+z3 ... proved.
Step-by-step explanation:
It is given that there are three vectors z1 = a1 + ib1, z2 = a2 + ib2 and z3 = a3 + ib3. Now, we have to prove (a) z1 + z2 = z2 + z1 and (b) z1 + (z2 +z3) = (z1 + z2) + z3.
(a) z1 + z2 = (a1 +ib1) + (a2+ ib2) = (a1 +a2) + i(b1 +b2) {Adding the real and imaginary parts separately}
Again, z2 + z1 =(a2 +ib2) + (a1 +ib1) = (a2 +a1) + i(b2 +b1) {Adding the real and imaginary parts separately}
Hence, z1 +z2 =z2 + z1 {Since, (a1 +a2) = (a2 +a1) and (b1 +b2) = (b2 +b1)}
(b) z1 + ( z2+ z3 ) = [a1 + ib1] + [(a2 + a3 ) + i(b2 + b3 )] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Again, (z1+z2)+z3 = [(a1+a2) +i(b1+b2)]+[a3+ib3] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Hence, z1 + ( z2+ z3 )=(z1+z2)+z3 proved.
Answer:
Six over Seven
Step-by-step explanation:
Answer:
1135.38
Step-by-step explanation:
100%->1015
100-6=94
94%->954.1
--------------------------------------------------
100%->954.1
119%->1135.379
≈1135.38
Using translations, it is found that the equation the represents the graphed function is:
, given by option C.
----------------------------------
- The parent function is
. - <u>As x increases, it's value increases. In the graph, as x increases, it decreases</u>, thus it was multiplied by -1, that is,
. - The parent function is defined for
, and the same is valid for the function in the graph, thus we have 
and not 
. - The initial value of the parent function is
, here it is 
, thus it was shifted down 3 units, that is, , and the correct option is C.
A similar problem is given at brainly.com/question/17072859
