Answer:
Step-by-step explanation:
-3x + 4y = -18
8x - 4y = 28
5x = 10
x = 2
4 - y = 7
-y = 3
y = -3
(2, -3)
If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.
Divide the number of candy bars (34), by the number each box can hold (5)
Since we cannot have 6.8 boxes, we have to round down to 6.
To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!
Answer:
Equation of the tangent to the curve
y = 240x - 215994
Equation of the normal
y = (-1/240)x + 9.75 = - 0.00417x + 9.75
Step-by-step explanation:
y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36
dy/dx = 32x + 48
At the point (6,900),
dy/dx = 32(6) + 48 = 240
Equation of the tangent at point (a,b) is
(y - b) = m(x - a)
a = 6, b = 900, m = 240
y - 6 = 240(x - 900)
In the y = mx + b form,
y - 6 = 240x - 216000
y = 240x - 215994
The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)
Slope of the normal line = -1/240
Equation of normal
y - 6 = (-1/240)(x - 900)
y - 6 = (-x/240) + 3.75
y = (-1/240)x + 9.75
y = - 0.00417x + 9.75
Answer:
Price > 100$
Price > 150$
Step-by-step explanation:
Let us assume that x% off of price y$ is better than x$ off.
Hence,
Hence, y > 100
Therefore, when the price is more than 100$, then only x% off on the price is better than x$. (Answer)
Again, assume that 20% off on price y$ is better than 30$ off.
Hence,
⇒ y > 150$
Therefore, when the price is more than 150$, then only 20% of on the price is better than 30$ off. (Answer)
Answer:
26.5454545455
Step-by-step explanation: