Answer:
Linear function
Step-by-step explanation:
x y Ist difference
-6 -27 -
-5 -21 -21 - (-27) = 6
-4 -15 -15 - (-21) = 6
-3 -9 -9 - (-15) = 6
-2 -3 -3 - (-9) = 6
Since, Ist difference is common in the given table,
(Common difference = 6)
It's a linear function.
Answer:
B
Step-by-step explanation:
Given
7 | 3f + 4 | = 91 ← divide both sides by 7
| 3f + 4 | = 13
The absolute value function always returns a positive value, but the expression inside can be positive or negative. Thus there are 2 possible solutions.
Solve 3f + 4 = 13 → 3f = 13 - 4 = 9 ⇒ f = 3
Solve 3f + 4 = - 13 ⇒ 3f = - 13 - 4 = - 17 ⇒ f = - 
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
f = 3 : 7| 9 + 4| = 7| 13| = 7 × 13 = 91 ← True
f = - 
7 | - 17 + 4| = 7| - 13| = 7 × 13 = 91 ← True
Hence the correct solutions are B
Answer:
5 bags
Step-by-step explanation:
Given Marianne buys 16 bags of potting soil which come in 5/8 pound bags
The above provides 10pounds of potting soil already
Now her father says he needs 13 pounds So Marianne should get an extra of 13 - 10 =3 pounds of potting soil
We know that 1 bag contains 5/8 pounds of potting soil
x bags contain 3 pounds of potting soil
On cross multiplication we get

x =
since x is an integer x = 5 bags
Note that an extra amount of soil will be remained unused
(2165-59)/3=
.............