Answer: C
<u>Step-by-step explanation:</u>
Let x represent the first term (a₁)
a₁ = x
a₂ = x(-√2) = -x√2
a₃ = -x√2(-√2) = 2x
a₄ = 2x(-√2) = -2x√2
a₅ = -2x√2(-√2) = 4x
Since it is given the a₅ = √2, then we can solve: 4x =√2
Divide both sides by 4 to get: x = 
this can also be written as: 
Answer:
7 4 and 15 because term means numbers
Answer:
B) −1/4
Step-by-step explanation:
The slope represents the change in y values divided by the change in x values. We can use the formula
slope = (y2-y1)/(x2-x1)
(2,4) (-2,5)
slope = (5-4)/(-2-2)
= 1/-4
slope = -1/4
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
