We need to express this statement into a equation:
First of all. We will walk through the statement step by step into a mathematical language, so:
1. The sum of five and x:
x + 5
2. Twice the sum of five and x:
2(x + 5)
3. Eight less than x:
(x-8)
Finally the whole statement is:
4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
x = -18
The expression foiled together is 6(-3x^2+13xy-4y^2)
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:
(-2, 1)
Step-by-step explanation:
Hi Juliadayx! How are you?
Well, maybe you already heard about the domain and the range of a function.
The domain is the set of values that the independent variable can take (usually referred to as the letter "x"), while the range is the set of values that the dependent variable takes, which is called f(x) or function of x.
In this case, the exercise asks you to evaluate for which values of “x” (right column of the table), the function “f(x)” takes positive values (left column of the table), the positive values also include zero. And in this case you can see that the function f(x) is only positive for the values of "x": -2, -1, 0 and 1. Therefore, the answer is the entire interval (-2, 1).
I hope I've been helpful!
Regards!
Number 29 would be y=-x +10
