Part A
Let y = a + b*x
where
x = number of days
y = cost
When x = 2, y =$225. Therefore
a + 2b = 225 (1)
When x = 5, y = 480. Therefore
a + 5b = 480 (2)
Subtract (1) from (2).
3b = 480-225 = 255
b = 85
From (1), obtain
a = 225 - 2*85 = 55
Answer:
y = 55 + 85x
where x = the number of days
y = the cost (dollars)
Part B.
The cost is
f(x) = 55 + 85x
Part C
To graph y = 55 + 85x,
The y-intercept is 55
The x-intercept occurs when y = 0. That is
55 + 85x = 0
x = -55/85 = -11/17
The graph is shown below.
Answer:
x= 14√3
y= 28√3
Step-by-step explanation:
Please see attached picture for full solution.
(tan30° and cos30° are special angles so there's an exact value to it in which we can memorise.)
In this case, by Pythagoras's Theorem, you should ensure that:
![{y}^{2} = 42^{2} + {x}^{2}](https://tex.z-dn.net/?f=%20%7By%7D%5E%7B2%7D%20%20%3D%2042%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20)
✓ Let's check:
![{y}^{2} = (28 \sqrt{3} )^{2} \\ y^{2} = 2352 \\ {x}^{2} + {42}^{2} = ( 14\sqrt{3})^{2} + 1764 = 2352](https://tex.z-dn.net/?f=%7By%7D%5E%7B2%7D%20%20%3D%20%2828%20%5Csqrt%7B3%7D%20%29%5E%7B2%7D%20%20%5C%5C%20y%5E%7B2%7D%20%20%3D%202352%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%2B%20%20%7B42%7D%5E%7B2%7D%20%20%3D%20%28%2014%5Csqrt%7B3%7D%29%5E%7B2%7D%20%2B%201764%20%20%3D%202352)
This satisfies Pythagoras' Theorem :)
For this kind of questions, first label the adjacent side, opposite side and the hypotenuse side of the triangle.
Cosine angle= adjacent/ hypotenuse
Sine angle= opposite/ hypotenuse
tangent angle= opposite/ adjacent
Then substitute the known side and angle to find the unknown side.
Answer:
it has two solutions, one for x, and the other for y
your answer would be D.24
The mode would be 1. Mode means the number that is shown the most