Answer:
Step-by-step explanation:
One approach would be to begin the indicated multiplication: Multiply a² by a, obtaining a³, which is the first term of the product a3 – a2b + ab2 + a2b – ab2 + b3. Please use " ^ " to indicate exponentiation, or (²) or (³):
a(a² - ab + b²) = a³ (plus 2 more terms, which are -a²b and ab²).
Here we are applying the distributive property of multiplication.
Answer:
(20, 16)
Step-by-step explanation:
Answer
Explanation
We've been told to pick the function that best models the data in the table.
Given that x = time (hours)
y = Cost (dollars)
The best approach is to examine each of the options to pick which one matches the data in the table
Option A
y = 65.75x + 50
when x = 1
y = 65.75 (1) + 50
= 65.75 + 50
= 115.75
when x = 4
y = 65.75 (4) + 50
= 263 + 50
= 313
when x = 8
y = 65.75 (8) + 50
= 526 + 50
= 576
when x = 12
y = 65.75 (12) + 50
= 789 + 50
= 839
Option A matches the data perfectly.
Option B
y = 50x + 115.75
when x = 1
y = 50 (1) + 115.75
y = 50 + 115.75
y = 165.75
Since this first attempt for the second function doesn't match the data in the table, we can easily write this option off as a wrong answer.
Option C
y = 65.75x + 1
when x = 1
y = 65.75 (1) + 1
= 65.75 + 1
= 66.75
Since this first attempt for the third function doesn't match the data in the table, we can easily write this option too off as a wrong answer.
O
Answer:
![T^\circ = -12^\circ](https://tex.z-dn.net/?f=T%5E%5Ccirc%20%20%3D%20-12%5E%5Ccirc)
Step-by-step explanation:
Given
Represent the temperature in Tucson with T and that in Minneapolis with M.
From the first statement, we have:
![T^\circ = M^\circ - 24^\circ](https://tex.z-dn.net/?f=T%5E%5Ccirc%20%3D%20M%5E%5Ccirc%20-%2024%5E%5Ccirc)
From the second, we have:
or
--- i.e. both are opposite numbers
Required
Find T
To calculate T, substitute -T for M in ![T^\circ = M^\circ - 24^\circ](https://tex.z-dn.net/?f=T%5E%5Ccirc%20%3D%20M%5E%5Ccirc%20-%2024%5E%5Ccirc)
This gives:
![T^\circ = -T^\circ - 24^\circ](https://tex.z-dn.net/?f=T%5E%5Ccirc%20%3D%20-T%5E%5Ccirc%20-%2024%5E%5Ccirc)
Collect Like Terms
![T^\circ +T^\circ =- 24^\circ](https://tex.z-dn.net/?f=T%5E%5Ccirc%20%2BT%5E%5Ccirc%20%3D-%2024%5E%5Ccirc)
![2T^\circ =- 24^\circ](https://tex.z-dn.net/?f=2T%5E%5Ccirc%20%20%3D-%2024%5E%5Ccirc)
Make T the subject
![T^\circ =- 24^\circ/2](https://tex.z-dn.net/?f=T%5E%5Ccirc%20%20%3D-%2024%5E%5Ccirc%2F2)
![T^\circ = -12^\circ](https://tex.z-dn.net/?f=T%5E%5Ccirc%20%20%3D%20-12%5E%5Ccirc)
Hence, the temperature in Tucson is ![-12^\circ](https://tex.z-dn.net/?f=-12%5E%5Ccirc)
We have to divide both sides by -4 to get x by itself and solve the inequality
-4x∠16
---- ---
-4 -4
x∠-4
thats your final answer