f(9) is the x value, find where the line is in the y direction at x = 9
The line crosses y = 3 at x = 9
Answer:
f(9) = 3
Responder:
y = 200x + 2000
Explicación paso a paso:
Deje que la ecuación lineal se exprese como y = mx + c
m es la pendiente
c es la intersección
Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;
(10,4000) y (15,5000)
Conseguir la pendiente
m = 5000-4000 / 15-10
m = 1000/5
m = 200
Obtener la intersección c
Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c
4000 = 200 (10) + c
4000-2000 = c
c = 2000
Sustituya m = 200 y c = 2000 en la ecuación y = mx + c
y = 200x + 2000
Por tanto, la expresión lineal requerida es y = 200x + 2000
Step One
Calculate the number of feet traveled in 1 rotation.
Formula
C = π*d
P = 3.14
d = 9 inches = 9/12 feet = 3/4 of a foot.
C = 3.14 * 3/4 = 2.355 So that means that every time the tire turns around 1 complete turn, the distance traveled on the ground is 2.355 feet.
Step Two
Figure out the number of revolutions.
1 revolution = 2.355 feet
x revolutions = 300 feet.
1/x = 2.355/ 300 Cross multiply
2.355 feet * x = 1 rev * 300 feet
2.355 x = 300 rev Divide by 2.355
x = 300 / 2.355
x = 127.39 revolutions. <<<< Answer
Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the <u>(</u><u>6</u><u>,</u><u>5</u><u>)</u><u> </u>points
in order to do so
recall that,
![\displaystyle m_{ \text{perpendicular}} = - \frac{1}{m}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m_%7B%20%5Ctext%7Bperpendicular%7D%7D%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7Bm%7D%20)
we got from our given equation that m=2
because equation of a line is y=mx+b
thus
![\displaystyle m_{ \text{perpendicular}} = - \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m_%7B%20%5Ctext%7Bperpendicular%7D%7D%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20)
remember that, when we want to figure out perpendicular line or parallel line we should the formula given by
![\displaystyle y - y_{1} = m(x - x_{1})](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20y%20-%20%20y_%7B1%7D%20%3D%20m%28x%20-%20%20x_%7B1%7D%29)
since we got our perpendicular m is -½,
and
, substitute
![\displaystyle y - 5 = - \frac{1}{2} (x - 6)](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20y%20-%20%205%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20%28x%20-%20%206%29)
to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:
![\displaystyle y - 5 = - \frac{1}{2} x + 3](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20y%20-%20%205%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20x%20%20%2B%203)
add 5 to both sides:
![\displaystyle y = - \frac{1}{2} x + 8](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20y%20%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B2%7D%20x%20%20%2B%208)
hence,
our answer choice is B