That easiliy false. You can prove this by observing that all integers are, in particular, rational numbers. So, for instance, you can think of 4 as , so
And obviously, you have
It is true that the square of every rational number between 0 and 1 is smaller than the number itself.
But since not all rational numbers are between 0 and 1, the general claim is false.
This picture should provide a full answer. What I did was rearrange the equation to get Tan(x) on one side, then in order to get rid of the Tan, I used Arctan, which got us the final answer.
Answer:
A. For every pound added to the weight of the car, gas mileage in the city will decrease by
0.005920.00592 mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept
(c) ABOVE
No, because the hybrid is a different type of car.
Step-by-step explanation:
You have to model both options.
1) The composition of function is applying one function to the result of the other.
2) f(x) composed with g(x) is (f ° g) (x) = f [ g(x) ] means apply the function f to the result of g(x).
3) g(x) composed with f(x) is (g ° f) (x) = g [ f(x) ] means apply the function g to the result of f(x).
4) Do both:
i) f (g(x) = 2 [ g(x) ] - 6 = 2 [ 5x + 1] - 6 = 10x + 2 - 6 = 10x - 4
ii) g (f(x) = 5 [ 2 (2x - 6) ] + 1 = 5 [ 4x - 12] + 1 = 20x - 60
5) Compare both outputs:
Is 20x - 60 > 10x - 4?
Solve the inequality:
20x - 10x > 60 - 4 ⇒ 10x > 56 ⇒ x > 5.6
Then:
i) for x = 5.6 both outputs are equal
ii) for x > 5.6 g(f(x) is greater
iii) for x < 5.6 f(x) is greater.
Answer:
7
Step-by-step explanation:
love is = 4, because love + love = 8 meaning its 4+4
heart is = 5, because heart - 4(love) = 1
bird is = 3, because bear is = 9 since 5(heart) + 4(love) is bear, and 3 birds make a bear.