All of the angles would be acute angles because they are less then 90 degrees
Answer: d. The domain would only include positive numbers.
Step-by-step explanation:
Given: A function is created to represent the miles per gallon your car gets.
Here, the independent variable = the amount of fuel the car gets in gallons.
and the dependent variable = the total miles of car travel .
We know that the domain of a function is a set of all values of independent variable.
Thus, the domain would only include positive numbers because the quantity of fuel in a car is never negative and it can be in fraction .
Hence, D is the right answer.
Answer:
Step-by-step explanation:
The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.
find the value of x
x + 2x + x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 : 4
x = 43
find angles
2x = 43 * 2
2x = 86°
-------
x = 43°
--------
x + 8 = 43 + 8
x = 51°
-----------------------
check
86 + 43 + 51 = 180°
the answer is good
F(x) = 3x + 1
let f(x) = y
y = 3x + 1
y - 1 = 3x
3x = y - 1
x = (y - 1)/3
From y = f(x), x = f⁻¹(y)
<span>x = (y - 1)/3
</span>
f⁻¹(y) = (y - 1)/3
f⁻¹(7) = <span>(7 - 1)/3 = 6/3 = 2
</span>f⁻¹(7)<span> = 2</span>