Answer:
f(x) has moved:
4 units in the positive y direction i.e upwards
3 units in the positive x direction
Step-by-step explanation:
to get g(x), f(x) has undergone the following transformations
f(x) = x³
f1(x) = x³ + 4 (translation of 4 units in the positive y direction i.e upwards)
f2(x) = g(x) = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)
Clown fish: angel fish 5:4
angle fish: gold fish 4:3
(60): angel fish=5:4
(5)(12)=60
(4)(12)=48 angel fish
(48): gold fish=4:3
(4)(12)=48
(3)(12)=36 gold fish
Answer:<em><u> x= 4/3 but in decimal form =1.333</u></em>
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4-(2*(3*x-2))=0
4 - 2 • (3x - 2) = 0
Pull out like factors :
8 - 6x = -2 • (3x - 4)
Solve : 3x-4 = 0
Add 4 to both sides of the equation :
3x = 4
Divide both sides of the equation by 3:
<em><u>x = 4/3 = 1.333</u></em>
Answer:
49
Step-by-step explanation:
4^3=64
5(-3)=-15
64+(-15)=49
Answer:

Step-by-step explanation:
Simplify the following expression:

-Subtract
from
:


-Add
and
:


Therefore, the final answer is
.