Answer:
The answer is D,
a(n) = 4/5 + 1/6(n- 1)
just took the test :)
Step-by-step explanation:
Answer:
It's the first choice y = (-5/2)x - 1.
Step-by-step explanation:
First find the slope of the line 5x + 2y = 12 by converting to slope-intercept form.
5x + 2y = 12
2y = -5x + 12
y = (-5/2)x + 6 so the slope is (-5/2).
The line we require had also a slope of -5/2 because it is parallel to the first line and it also passes through the point (-2, 4). So:
y - 4 = (-5/2)(x - -2) (the point-slope form)
y - 4 = (-5/2)(x + 2)
y = (-5/2)x - 5 + 4
y = (-5/2)x - 1 (answer)
Answer: 80 cents per organic peach
Step-by-step explanation: To find out how much Patrick paid for 5 organic peaches, we want to find the unit price for 1 peach.
Unit price means the cost per unit. In this case, the cost per peach. Since we know that it costs $4.00 for 5 peaches, to find the cost for 1 peach, we need to divide 5 into $4.00 or 5 into 4.00.
Now using long division, 5 divides into 40 eight times so we put an 8 above the second 0 and 8 x 5 is 40 and 40 - 40 is 0.
So 5 divides into 4.00 0.8 times which means that each peach costs 80 cents.
So the unit price is 80 cents per organic peach.
Answer:
8
Step-by-step explanation:
Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i