Answer:
f(m)=20+0.05m
f(m)=cost(c)
20=initial cost and will be the y-intercept
0.05=the cost per mile and will be the slope
m=the number of miles driven
Step-by-step explanation:
Answer:
3x(x - 4)(x - 1)²
Step-by-step explanation:
(3x^2−12x)(x^2−2x+1)
[3x² - 12x][x² - 2x + 1]
[3x(x - 4)] × [x² - 2(x)(1) + 1²]
3x(x - 4)(x - 1)²
Y=(-8x-4)^(1/3)
y=(x)^(1/3)
y=a*(b(x-c))^(1/3))+d
In this equation, a is equal to one and d is equal to 0, so the equation is reduced to y=(b(x-c))^(1/3). Here, you can see that the b value is equal to -8, which would leave a c value of (-1/2) according to the equation.
This would mean that the transformations from y=x^(1/3) to the equation in the problem would include:
a horizontal shift of -1/2, or to the left of the y-axis by .5 units,
a reflection across the x-axis, due to the negative b value,
and the b value of 8, ignoring the sign due to that demonstrating the reflection, would mean that it is horizontally compressed by 1/8.
Answer:
150˚ or 330˚
Step-by-step explanation:
It is easier to use the calculator, but you can use the unit circle too.
Calculator:
Plug in the equation without the negative, and you get 30˚ which is your reference angle. But since tangent is negative, the angle is in either the second quadrant, or the fourth (because tangent is negative in these quadrants). Now using your reference angle, you can find the answer.
Answer:
third and fourth option
Step-by-step explanation:
volume of rectangular prism = length*width*height
=7.5 * 2 * 4.2
= 63 cm^3
