Answer:
Horizontal shift by -1 OR Horizontal shift to the left by 1
Vertical shift by 3 OR Vertical shift up by 3
(both on the left or both on the right)
Step-by-step explanation:
First, identify what changed from f(x) to g(x), which is the + 1 inside of what's being raised to the 4th and the + 3 outside of it. Inside the parentheses means a horizontal shift to the left if positive and right if negative, while outside the parentheses means a vertical shift upwards if positive and downwards if negative. In this case, we have a +1 and a +3 respectively, giving the answer above. The differences are just matters of teacher preference; the one on the right is more basic while the one on the left is more advanced. If you can remember, do it how your teacher did it in class.
Answer:
system of equations are
y=53x + 10, y=55x
Step-by-step explanation:
y=mx+b where x is the number of tickets purchased and y is the total cost.
We need to frame the equation for each option
Option 1: $53 for each ticket plus a shipping fee of $10
1 ticket cost = 53
So x tickets cost = 53x
shipping fee = $10 so b= 10
So equation becomes y=53x + 10
Option 2: $55 for each ticket and free shipping
1 ticket cost = 55
So x tickets cost = 55x
shipping fee =0 so b= 0
So equation becomes y=55x
Answer:
It will take 4 years to deplete the account.
Step-by-step explanation:
Prudential Reality has an escrow account that contains $20,000.
The client withdraws $5000 now and that leaves $15000.
After one year an amount of $4500 is withdrawn which leaves ($15000 - $4500) = $10500
After two years an amount of $4000 is withdrawn which leaves ( $10500 -$4000) = $6500.
After three years an amount of $3500 is withdrawn which leaves ( $6500 - $3500) = $3000
After four years an amount of $3000 is withdrawn which leaves ($3000 - $3000) = $0 in the account.
Hence it will take 4 years to deplete the account.
Answer:
(x,y,z) = (5/2, 5/2, 0)
If z = t,
(x,y,z) = ((5-3t)/2, (5-t)/2, t)
Step-by-step explanation:
-x + y - z = 0
2y + z = 5
(1/5)z = 0
From eqn 3, z = 0
2y + z = 5
Substitute for z in eqn 2
2y + 0 = 5
y = 5/2
substituting for y and z in eq 1
-x + (5/2) - 0 = 0
x = (5/2)
(x,y,z) = (5/2, 5/2, 0)
In terms of t, if z = t,
eqn 2 becomes 2y + t = 5
2y = 5 - t
y = (5 - t)/2
Eqn1 becomes
-x + (5-t)/2 - t = 0
-x + (5/2) - (t/2) - t = 0
-x + (5/2) - (3t/2) = 0
x = (5-3t)/2
(x,y,z) = ((5-3t)/2, (5-t)/2, t)
Answer:
(c)=81°, a=9.1, b=12.
Step-by-step explanation:
m<A=40°, m<B=59
m<C=180-(40+59)=81
c=14